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Journal articles on the topic 'PISO algorithm'

Author: Grafiati

Published: 5 June 2025

Last updated: 16 July 2025

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1

Tayebi, Ali, and Behzad Ghadiri Dehkordi. "Development of a PISO-SPH method for computing incompressible flows." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 228, no. 3 (2013): 481–90. http://dx.doi.org/10.1177/0954406213488280.

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A new algorithm is proposed for solving the time-dependent Navier-Stokes equations in a sequential uncoupled manner. The algorithm, known as PISO (Pressure Implicit with Splitting of Operators) is extended to the Smoothed Particle Hydrodynamics (SPH) context (PISO-SPH). The algorithm consists of one prediction and two correction steps, based on a full Navier-Stokes equation, therefore, a modified Poisson equation is derived which makes the algorithm more stable with less pressure fluctuations. The proposed PISO-SPH method is applied to solve a number of benchmark problems including both unsteady and steady state test cases. Comparing the results with analytical solutions and other numerical methods, it is shown that the proposed method is accurate and straightforward for the simulation of incompressible fluid flows.

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2

Wang, Jie, Yue Zhu, Songyu Zou, et al. "Numerical Simulation Study on Reverse Source Tracing for Heating Pipeline Network Leaks Based on Adjoint Equations." Processes 12, no. 12 (2024): 2710. https://doi.org/10.3390/pr12122710.

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In order to identify the leak source in complex heating pipeline networks, a timely and effective simulation of the leakage process was conducted. The open-source computational fluid dynamics software OpenFOAM 5.0 was combined with the PISO algorithm to simulate the pressure during the leakage in water supply networks, transforming the reverse source tracing problem into the solution of an adjoint equation. The validation of the transient adjoint equation for single-phase flow was completed through simulation, and the pressure wave change graph at the moment of the network leakage was solved, which was consistent with the experimental results. Using the open-source finite element analysis software OpenFOAM 5.0, the positioning accuracy of pipeline leak points can be controlled within the range from 92% to 96%. Based on the pressure wave change graph, the position of the leak source in the complex network was determined using the reverse source tracing method combined with the second correlation theory. The results show that the calculation speed of the PISO algorithm combined with the adjoint equation is significantly better than that of the individual SIMPLE and PISO algorithms, thereby proving the superiority of the adjoint method.

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3

Kang, Kwan-Gu, and Hong-Sun Ryou. "COMPUTATION OF SOLIDIFICATION AND MELTING USING THE PISO ALGORITHM." Numerical Heat Transfer, Part B: Fundamentals 46, no. 2 (2004): 179–94. http://dx.doi.org/10.1080/10407790490438563.

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4

Seif, M. S., A. Asnaghi, and E. Jahanbakhsh. "Implementation of PISO algorithm for simulating unsteady cavitating flows." Ocean Engineering 37, no. 14-15 (2010): 1321–36. http://dx.doi.org/10.1016/j.oceaneng.2010.06.011.

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5

Tuković, Željko, Milovan Perić, and Hrvoje Jasak. "Consistent second-order time-accurate non-iterative PISO-algorithm." Computers & Fluids 166 (April 2018): 78–85. http://dx.doi.org/10.1016/j.compfluid.2018.01.041.

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J. Oliveira, Raad I. Issa, Paulo. "AN IMPROVED PISO ALGORITHM FOR THE COMPUTATION OF BUOYANCY-DRIVEN FLOWS." Numerical Heat Transfer, Part B: Fundamentals 40, no. 6 (2001): 473–93. http://dx.doi.org/10.1080/104077901753306601.

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7

Venier, Cesar M., César I. Pairetti, Santiago Marquez Damian, and Norberto M. Nigro. "On the stability analysis of the PISO algorithm on collocated grids." Computers & Fluids 147 (April 2017): 25–40. http://dx.doi.org/10.1016/j.compfluid.2017.01.017.

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8

Ren, Xiao Guang. "Performance Analysis of the PISO-Based CFD Simulation." Applied Mechanics and Materials 607 (July 2014): 872–76. http://dx.doi.org/10.4028/www.scientific.net/amm.607.872.

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Computational Fluid Dynamics (CFD) is widely applied for the simulation of fluid flows, and the performance of the simulation process is critical for the simulation efficiency. In this paper, we analyze the performance of CFD simulation application with profiling technology, which gets the portions of the main parts’ execution time. Through the experiment, we find that the PISO algorithm has a significant impact on the CFD simulation performance, which account for more than 90% of the total execution time. The matrix operations are also account for more than 60% of the total execution time, which provides opportunity for performance optimization.

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9

Wu, Jian Feng, Cai Hua Wang, and Lu Ping Yi. "The Selection of Pressure Velocity Coupling Algorithm in the Numerical Wind Tunnel of Arch Roof." Applied Mechanics and Materials 204-208 (October 2012): 4888–91. http://dx.doi.org/10.4028/www.scientific.net/amm.204-208.4888.

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using the FLUENT software, this paper taking the current code for the design of building structures as the comparison standard, have numerical wind tunnel simulation of the wind the surface wind pressure on arch roof. It focuses on the analysis of the effects of three kinds of pressure velocity coupling algorithm on the numerical simulation results, respectively SIMPLE, SIMPLEC, PISO, to provide a basis for the reasonable selection of algorithm.

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10

Albatati, F. A., A. M. Hegab, M. A. Rady, A. A. Abuhabaya, and S. M. El-Behery. "Turbulent Flow Characteristics in a Model of a Solid Rocket Motor Chamber with Sidewall Mass Injection and End-Wall Disturbance." Mathematical Problems in Engineering 2021 (June 15, 2021): 1–17. http://dx.doi.org/10.1155/2021/9978102.

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The present analytical, numerical, and experimental investigations are performed to study the flow field in acoustically simulated solid rocket motor (SRM) chamber geometry. The computational solution is carried out for a high Reynolds number and low Mach number internal flows driven by sidewall mass addition in a long chamber with end-wall disturbances. This kind of flow (transient, weakly viscous, and contains vorticity) have several features in common with a turbulent flow field. The numerical study is performed by solving the unsteady Reynolds-averaged Navier–Stokes equations along with the energy equation using the control volume approach based on a staggered grid system. The v2-f turbulence model has been implemented in the current study. A comparison of the SIMPLE and PISO algorithms showed that both algorithms provide identical results, and the computational time using the PISO algorithm is higher by about 6% than the corresponding value of the SIMPLE algorithm. A fair agreement has been obtained between the numerical, analytical, and experimental results. Moreover, the results showed that the complex turbulent internal flow patterns are induced inside the chamber due to the strong interaction of the sidewall injection with the traveling acoustic waves. Such a complex internal structure is shown to be dependent on the piston frequency and sidewall mass flux. The current study, for the first time, emphasizes the acoustic-fluid dynamics interaction mechanism and the accompanying unsteady rotational fields along with the effect of the generated turbulence on the unsteady vorticity and its impact on the real burning rate.

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11

Semião, V., and M. G. Carvalho. "LIMPO: an improved version of the PISO algorithm for turbulent swirling flows." Engineering Computations 14, no. 3 (1997): 325–41. http://dx.doi.org/10.1108/02644409710170997.

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12

Liu, Y. L., B. Lv, P. Zhang, and W. L. Wei. "2D Simulation of Flow Field of Horizontal Sedimentation Tank." Applied Mechanics and Materials 256-259 (December 2012): 2598–601. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.2598.

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In this paper, we use 3D time-averaged equations and the 3D k-ε turbulence model to numerically simulate the flow in a horizontal sedimentation tank. The PISO algorithm is used to couple velocity and pressure. The results show that the model can provide a reference in designing sedimentation tanks.

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13

Jiejie, Huang, Ruibin Li, Zhanpeng Liu, et al. "Fast Fluid Dynamics Simulation of the Airflow Around a Single Bluff Body." E3S Web of Conferences 356 (2022): 04012. http://dx.doi.org/10.1051/e3sconf/202235604012.

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Fast and accurate simulation of the outdoor airflow distribution is important for studying urban microclimate. In this paper, two pressure-correction schemes (i.e., NIPC and NSPF) for solving the N-S equation item by item are implemented in OpenFOAM and their differences from the PISO algorithm in simulating the airflow around a single 1:1:2 bluff body are analyzed. The RNG k-ε turbulence model is chosen to study the airflow disturbance, while the second-order discretization scheme of Gauss limitedLinear is used to solve the advection term in the N-S equation. The results show that the NIPC can accurately predict the main airflow characteristics around the bluff body, while the NSPF cannot predict the recirculation region on its top. The two pressure-correction schemes underestimate the TKE distribution on the top and leeward sides of the bluff body when applying the RNG k-ε turbulence model, and the maximum relative error is about 30%. However, they are consistent with the results of the PISO algorithm under the same conditions. The two schemes are about 2.5-3.0 times faster than the PSIO algorithm when run on a CPU, and the NSPF is about 12% faster than the NIPC scheme.

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Wei, Wen Li, Pei Zhang, and Yu Ling Liu. "3D Numerical Simulation of Flow Field in a Circular Secondary Clarifier." Advanced Materials Research 393-395 (November 2011): 1080–83. http://dx.doi.org/10.4028/www.scientific.net/amr.393-395.1080.

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In this paper, we use two-phase mixture model and the 3D Realizable k-ε turbulence model to numerically simulate the advection secondary turbulence flow in a circular secondary clarifier. The PISO algorithm is used to decouple velocity and pressure. The results show that the model can provide a reference in designing sedimentation tanks.

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Liu, Y. L., P. Zhang, and W. L. Wei. "2D Simulation of Flow and Sludge Distribution in a Circular Secondary Clarifier." Advanced Materials Research 468-471 (February 2012): 798–801. http://dx.doi.org/10.4028/www.scientific.net/amr.468-471.798.

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In this paper, we use solid–liquid two-phase mixture model and the Realizable k-ε turbulence model to numerically simulate the advection secondary flow and sludge concentration distribution in a circular secondary clarifier. The PISO algorithm is used to decouple velocity and pressure. The velocity field and the sludge concentration distribution are obtained by the proposed model.

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16

Liu, Yu Ling, P. Zhang, and W. L. Wei. "2D Simulation of Effects of Position of Baffles on the Removal Rate of Solids in a Sedimentation Tank." Applied Mechanics and Materials 253-255 (December 2012): 861–64. http://dx.doi.org/10.4028/www.scientific.net/amm.253-255.861.

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In this paper, we use solid–liquid two-phase mixture model and the k-ε turbulence model to numerically simulate the effects of the position of baffles on the removal rate of solids in a sedimentation tank. The PISO algorithm is used to decouple velocity and pressure. The distribution of sludge concentration on different cross-sections is obtained by the proposed model.

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17

Frederix, E. M. A., M. Stanic, A. K. Kuczaj, M. Nordlund, and B. J. Geurts. "Extension of the compressible PISO algorithm to single-species aerosol formation and transport." International Journal of Multiphase Flow 74 (September 2015): 184–94. http://dx.doi.org/10.1016/j.ijmultiphaseflow.2015.04.015.

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18

Wei, W. L., Zhang Pei, and Y. L. Liu. "Numerical Simulation of Flow in a Horizontal Sedimentation Tank." Applied Mechanics and Materials 130-134 (October 2011): 3624–27. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.3624.

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In this paper, we use two-phase mixture model and the Realizable k-ε turbulence model to numerically simulate the advection secondary flow in a sedimentation tank. The PISO algorithm is used to decouple velocity and pressure. The comparisons between the measured and computed data are in good agreement, which indicates that the model can fully simulate the flow field in a sedimentation tank.

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19

Sun, Bo, Yong Zhe Li, Ying Jun Lv, and Hua Ping Lu. "Analysis of Chamber Shape’s Influencing on Axial Force in Hydrodynamic Coupling." Advanced Materials Research 614-615 (December 2012): 581–85. http://dx.doi.org/10.4028/www.scientific.net/amr.614-615.581.

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In order to research the law of chamber shape’s influencing on Axial Force in Hydrodynamic Coupling, flow field and axial force are numeric simulated at different chamber shapes in full filling rate by using separation solver, realizable k~ε model and PISO algorithm with CFD. The result shows that chamber shape has a greater impact on the axial force, and the influence weaks with the increase of speed ratio.

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20

Soulaine, Cyprien, Michel Quintard, Hervé Allain, Bertrand Baudouy, and Rob Van Weelderen. "A PISO-like algorithm to simulate superfluid helium flow with the two-fluid model." Computer Physics Communications 187 (February 2015): 20–28. http://dx.doi.org/10.1016/j.cpc.2014.10.006.

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21

Zhan, Xin, Hua Yang, and Feng Yun Jin. "Numerical Simulation of Indoor Thermal Environment of a Double-Skin Facade Office with Different Shutter Angles." Applied Mechanics and Materials 694 (November 2014): 256–59. http://dx.doi.org/10.4028/www.scientific.net/amm.694.256.

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Airflow and heat transfer simulation was conducted for a double-skin façade (DSF) system equipped with shading devices in the cavity, using computational fluid dynamics (CFD) with RNG turbulence model and PISO algorithm, for five conditions of slat angles (θ=0°, 30°, 45°, 60°, 90°). The present study indicates that the presence of shading devices influences the temperatures, the ventilation rate and the air distribution in the DSF system. Besides, the different angles will make different influences.

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22

Ding, Ying Tao, Ru Qing Liu, and Ri Na Su. "3D Numerical Simulation of Compressible Gas Synthetic Jet." Applied Mechanics and Materials 152-154 (January 2012): 266–70. http://dx.doi.org/10.4028/www.scientific.net/amm.152-154.266.

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Based on standard k-ε turbulent, PISO algorithm and the dynamic mesh model, numerical simulation of the 3D, viscous, unsteady compressible gas synthetic jet model was proposed. Two kinds of diaphragm boundary conditions， Helmholtz frequency characteristics and other factors affecting the performance of the 3D synthetic jet were discussed. Simulation results show that the dynamic mesh diaphragm boundary condition is more consistent with the experimental results and the theoretical results, which demonstrates the rationality of the dynamic mesh 3D compressible gas model.

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23

Xie, Bin, and Feng Xiao. "Accurate and robust PISO algorithm on hybrid unstructured grids using the multimoment finite volume method." Numerical Heat Transfer, Part B: Fundamentals 71, no. 2 (2017): 146–72. http://dx.doi.org/10.1080/10407790.2016.1265325.

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24

Rana, K. B., R. Zahoor, B. Mavrič, and B. Šarler. "Development and verification of meshless diffuse approximate method for simulation of compressible flow between parallel plates." Journal of Physics: Conference Series 2116, no. 1 (2021): 012021. http://dx.doi.org/10.1088/1742-6596/2116/1/012021.

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Abstract A meshless numerical model is developed to simulate single-phase, Newtonian, compressible flow in the Cartesian coordinate system. The coupled set of partial differential equations, i.e., mass conservation, momentum conservation, energy conservation, and equation of state is solved by using Diffuse Approximate Method (DAM) and Pressure Implicit with Splitting of Operators (PISO) pressure correction algorithm on an irregular node arrangement. DAM is structured by using the second-order polynomial basis functions and the Gaussian weight function, leading to the weighted least squares approximation on overlapping sub-domains. Implicit time discretization is performed for the predictor step of PISO, while in the corrector steps the equations are discretized explicitly. The numerical model is validated for flow between parallel plates with helium obeying ideal gas law. The solver’s accuracy is assessed by investigating the shape of the Gaussian weight and the number of the nodes in the local subdomains. The calculated velocity, temperature and pressure fields are compared with the Finite Volume Method (FVM) results obtained by OpenFOAM software and show a reasonably good agreement.

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Wen, Xiao Ping, Ming Ma, Wen Ce Sun, and Zhi Chao Liu. "The Quenching Characteristics of Gas Deflagration Flame in Narrow Channel." Advanced Materials Research 455-456 (January 2012): 289–95. http://dx.doi.org/10.4028/www.scientific.net/amr.455-456.289.

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In order to obtain fire retardant mechanism of gas deflagration flame in narrow channel, a numerical simulation adopting PISO algorithm and self-adapted grids was presented based on the single-step irreversible chemical reaction and the combustion model of EBU-Arrhenius. The numerical dates are well compatible with experimental results and indicate that the initial flame velocity and gap of channel are directly responsible for the quenching distance. And the smaller the flame velocity or gap of channel, the shorter the quenching distance, which means simpler to quench gas deflagration flame.

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Lian, Jiacheng, Qinghe Yao, and Zichao Jiang. "An Overlapping IBM-PISO Algorithm with an FFT-Based Poisson Solver for Parallel Incompressible Flow Simulations." Fluids 10, no. 7 (2025): 176. https://doi.org/10.3390/fluids10070176.

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This study addresses computational challenges in the immersed boundary method (IBM) with the pressure implicit with split operator (PISO) algorithm for simulating incompressible flows. We introduce a novel time-step splitting method to implement communication overlapping optimization, aiming to reduce costs dominated by the pressure Poisson solver. Using a fast Fourier transform (FFT)-based approach, the Poisson equation is solved efficiently with O(NlogN) complexity. Our method interleaves IBM force calculations with Poisson phases, employing asynchronous communication to overlap computation with global data exchanges. This reduces communication overhead, enhancing scalability. Validation through benchmark simulations, including flow around a cylinder and particle-laden flows, shows improved efficiency and accuracy comparable with traditional methods. Implemented in a custom C++ solver using the FFTW library, tests indicate substantial acceleration, with results showing a 40% speed-up and less than 3% deviation in drag and lift coefficients. This research provides an efficient and promising simulation tool for complex flow.

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Poblete, Luciano I., and Nelson O. Moraga. "Improving the Performance of Herschel-Bulkley Rheological Model in Liquid-Solid Phase Change Problems." Resúmenes de Mecánica Computacional 1, no. 7 (2024): 65. https://doi.org/10.70567/rmc.v1i7.161.

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Computational rheology plays a pivotal role in mechanical engineering, with widespread applications: blood flow dynamics, latent heat energy storage, and casting of polymers and metal/alloys, among others. Generally, conventional rheological models depend on several parameters such as restrictive yield stress, power index, deformation rate, time, and temperature, inducing nonlinearities that increase the computation time in CFD approaches. For this reason, this work introduces a robust three-dimensional CFD model that simulates the complex unsteady liquid-solid phase change of a ternary aluminum alloy (Al-7%Si-0.3%Mn) using the non-Newtonian Herschel-Bulkley (H-B) rheology. The coupling of fluid flow, heat transfer, and phase change is assessed by the Finite Volume Method (FVM) and the pressure-correction algorithm SIMPLERnP. The 3D-FVM/SIMPLERnP scheme is validated with 2D solutions and numerical data in the scientific literature, showing negligible variations of velocity components and in the liquidus-solidus moving front during the convective solidification. The classical generalized H-B model is improved with three discontinuity regularizations: (i) Bercovier and Engelman, (ii) Papanastasiou, and (iii) Bi-viscosity. The results are focused on analyzing three key aspects: First, the variations in inner cycles of the pressure correction in the SIMPLERnP scheme; second, the accuracy and convergence of the H-B models; and, finally, exploring the performance of SIMPLERnP compared to three reliable P-V-T algorithms (SIMPLER, PISO, and IDEAL). The main findings established that the Bercovier and Engelman regularization leads to a reduction in the convergence time by 13%; for its part, Papanastasiou and Bi-viscosity models reduce the computational time by 17% and 8%, compared to the classical H-B model, maintain the same accuracy in the primitive variables. Finally, we concluded that SIMPLERnP with ten optimized inner cycles considerably reduces the time of computation compared to SIMPLER, PISO, and IDEAL algorithms during the liquid-solid phase change.

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Mu, Li Li, and Ning Xue. "Numerical Simulation of Micro Flow Field of Micro Injector." Advanced Materials Research 327 (September 2011): 61–65. http://dx.doi.org/10.4028/www.scientific.net/amr.327.61.

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In order to research the effects of digital micro droplet injected by the piezoelectric ceramic inertial driver, the calculation model of micro flow field of micro injector was established based on the VOF model of multiphase flow. The calculation selected the implicit segregated solver and the standard k-e model was used in turbulence of the micro-nozzle. The governing equation was separated in first order upwind, and solved by PISO algorithm. The flow pattern of the micro channel fluid and the dynamic evolution process of the micro droplet generation in the plus wave driving were researched.

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29

A.Arifjanov. "MATHEMATICAL MODELING OF PROCESSES IN A CYLINDRICAL COMBUSTION CHAMBER IN ANSYS FLUENT SOFTWARE PACKAGE." Journal of Hydraulics and Environmental Engineering 2, no. 1 (2023): 1–14. https://doi.org/10.5281/zenodo.10030920.

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When mathematically modeling gas combustion processes within the ANSYS Fluent software package, the main problem is the choice of a turbulence model. As part of the work, standard and modified methods were tested to describe turbulence  models, Spalart-Allmaras model,  model and RNG model   to describe the mixing and combustion of methane according to the Arrhenius law in a cylindrical chamber. The calculations used the control volume method embedded in ANSYS Fluent, where the velocity and pressure fields are related by the PISO algorithm. Satisfactory agreement between the calculation and experimental results was obtained when implementing the modified   models based on axial distributions of temperature and longitudinal velocity.

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Park, Tae Seon. "Effects of Time-Integration Method in a Large-Eddy Simulation Using PISO Algorithm: Part II—Thermal Field." Numerical Heat Transfer, Part A: Applications 50, no. 3 (2006): 247–62. http://dx.doi.org/10.1080/10407780600602234.

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Park, Tae Seon. "Effects of Time-Integration Method in a Large-Eddy Simulation Using the PISO Algorithm: Part I—Flow Field." Numerical Heat Transfer, Part A: Applications 50, no. 3 (2006): 229–45. http://dx.doi.org/10.1080/10407780600602374.

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Liu, Y. L., and Y. Bai. "Simulation of a Free Surface Flow over a Vertical Weir." Applied Mechanics and Materials 256-259 (December 2012): 2616–20. http://dx.doi.org/10.4028/www.scientific.net/amm.256-259.2616.

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In this paper the numerical simulation of a free surface flow over a vertical weir with in turns of a scour pool and a small hump weir is presented. Since in this case few of calculative examples adds scour pool and small hump weir in the model, it is meaningful to compute this example using a numerical software which is named Fluent 6.3. The numerical method used consists of Navier–Stokes turbulence solver and k-ε model together with a VOF method and PISO algorithm in pave meshes. Thus, the sketches of flow fields on each typical time point and velocity distributions on each section on 16s are provided to describe flow field accurately. A very good quantitative consequence which accords with hydraulics theoretical analysis has been obtained.

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Ahmed, Ridha Alwan. "Simulation of Unsteady Flow Around a Cylinder." Wasit Journal of Engineering Sciences 3, no. 2 (2015): 28–49. http://dx.doi.org/10.31185/ejuow.vol3.iss2.38.

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In this paper, the phenomena of vortex shedding from the circular cylinder surface has been studied at several Reynolds Numbers (40≤Re≤ 300).The 2D, unsteady, incompressible, Laminar flow, continuity and Navier Stokes equations have been solved numerically by using CFD Package FLUENT. In this package PISO algorithm is used in the pressure-velocity coupling. The numerical grid is generated by using Gambit program. The velocity and pressure fields are obtained upstream and downstream of the cylinder at each time and it is also calculated the mean value of drag coefficient and value of lift coefficient .The results showed that the flow is strongly unsteady and unsymmetrical at Re>60. The results have been compared with the available experiments and a good agreement has been found between them

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Ono, Akira, Makoto Chitose, Hiroki Suzuki, and Toshinori Kouchi. "Assessing OpenFOAM-based Large-eddy Simulation Using Decay Characteristics of An Isotropic Taylor-green Vortex." Journal of Physics: Conference Series 2694, no. 1 (2024): 012004. http://dx.doi.org/10.1088/1742-6596/2694/1/012004.

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Abstract The aim of this study is to investigate OpenFOAM using isotropic TGV flows. The main focus is on the establishment of energy conservation laws, in particular using inviscid fields to assess energy constancy; Large-Eddy Simulation (LES) is applied and the results are compared with those obtained using spectral methods; unlike previous studies of OpenFOAM, this study uses an unsteady turbulent TGV flow. The computational methods used are a central difference method, a PISO algorithm and a Smagorinsky model. The study revealed errors in the conservation of kinetic energy in the OpenFOAM analysis. In particular, the energy decay was significant at high spatial resolution, confirming the different turbulence energy decay characteristics of DNS and OpenFOAM. However, when the model constant was 0.6, the decay characteristics were shown to be in good agreement with DNS.

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M.M.Hamdamov and S.A.Muzaffarov. "MODELING OF A LOW-POWER WIND TURBINE WITH A VERTICAL AXIS OF ROTATION WITHIN THE FRAMEWORK OF THE ANSYS FLUENT SOFTWARE PACKAGE." Journal of Hydraulics and Environmental Engineering 2, no. 1 (2023): 1–12. https://doi.org/10.5281/zenodo.10030896.

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In mathematical modeling of wind turbine aerodynamics within the ANSYS Fluent software package, the main problem is the choice of a turbulence model. As part of the work, to describe the turbulent flow, the standard and modified   models were tested, Spalart-Allmaras model,   model and RNG model for mixing description. The calculations used the control volume method embedded in ANSYS Fluent, where the velocity and pressure fields are linked by the PISO algorithm. Satisfactory agreement between the results of calculation and experiment was obtained when implementing the modified   model according to the axial distributions of the longitudinal velocity. This model will be further used in determining the values of the tangential flow direction in the blades of the wind generator and the moment of its rotation.

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Feriadi, Yusron, Umar Fauzi, M. Rizqie Arbie, and Fariduzzaman. "The Effect of Porous Media Grain Size on non-Darcy Flow Behavior using Pore Scale Simulation." Journal of Physics: Conference Series 2734, no. 1 (2024): 012013. http://dx.doi.org/10.1088/1742-6596/2734/1/012013.

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Abstract The impact of grain size of the porous media of the 3D images of a beadpack on the permeability values and non-Darcy flow behaviour is analyzed using pore-scale flow modelling utilizing the finite volume method. In this study, the sample used was a 3D image from random tight packing of spheres (beadpack) with a size of 250×250×250 voxels and a porosity of 0.36. Variation in grain size is carried out by upscaling the 3D image sample, so that this treatment affects the specific surface area value but does not change the porosity and tortuosity of the sample. Several variations of grain diameter include 100 μm, 125 μm, 150 μm, 175 μm, and 200 μm. In this study, we adopted PIMPLE algorithm, which combines SIMPLE and PISO algorithms to accomplish the Navier-Stokes equations of fluid dynamics in such porous media. The simulation results show that the permeability value exhibits an inverse relationship with the specific surface area. This correlation is in accordance with the Kozeny-Carman equation. In addition, the initiation of non-Darcy flow occurs at the reference length-based Reynolds number of 2.06 and the permeability-based Reynolds number of 0.049.

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Zhou, Pengzhi, Haidong Wang, Yuwei Dai, and Chen Huang. "Evaluation of fast fluid dynamics with different solving schemes on scalar transport equation for predicting indoor contaminant concentration." E3S Web of Conferences 356 (2022): 04017. http://dx.doi.org/10.1051/e3sconf/202235604017.

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Predicting the transport of indoor pollution can assist designer to optimize ventilation mode of room. However, the high computational cost restricts the wide implementation of computational fluid dynamics (CFD) technique to predict indoor contaminant concentration. This study evaluated three potential numerical methods with scalar transport equation to resolve this dilemma which were combine fast fluid dynamics (FFD) and different solving schemes on scalar transport equation. To test the performance of three potential numerical methods, the conventional PISO algorithm was also employed to compare. A threedimensional ventilation case with experimental data of indoor CO2 concentration was adopted. The results show that the FFD with iterative scheme of scalar transport equation could predicting indoor CO2 concentration efficiently. The numerical method with semi-Lagrangian method and iterative scheme for predicting indoor air contaminant concentration could obtain satisfactory results at large time step size.

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Shim, E. B., and K. S. Chang. "Numerical Analysis of Three-Dimensional Bjo¨rk–Shiley Valvular Flow in an Aorta." Journal of Biomechanical Engineering 119, no. 1 (1997): 45–51. http://dx.doi.org/10.1115/1.2796063.

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Laminar vortical flow around a fully opened Bjo¨rk–Shiley valve in an aorta is obtained by solving the three-dimensional incompressible Navier–Stokes equations. Used is a noniterative implicit finite-element Navier–Stokes code developed by the authors, which makes use of the well-known finite difference algorithm PISO. The code utilizes segregated formulation and efficient iterative matrix solvers such as PCGS and ICCG. Computational results show that the three-dimensional vortical flow is recirculating with large shear in the sinus region of the valve chamber. Passing through the valve, the flow is split into major upper and lower jet flows. The spiral vortices generated by the disk are advected in the wake and attenuated rapidly downstream by diffusion. It is shown also that the shear stress becomes maximum near the leading edge of the disk valve.

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Hou, Xiao Xia, Ju Rui Yang, and Jian Shu Zheng. "The Numerical Simulation for Effects of Y-Shape Flaring Gate Pier Body Type on Aerated Cavity Length and Negative Pressure of Steps." Applied Mechanics and Materials 488-489 (January 2014): 847–53. http://dx.doi.org/10.4028/www.scientific.net/amm.488-489.847.

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Numerical simulation technology has been widely used to study the energy dissipation problem of hydroelectric engineering construction which combined flaring gate pier with stepped spillway. The main parameter of flaring gate pier is contraction ratio. This paper numerically simulated the length of aerated cavity and negative pressure of steps for stepped spillway combined with symmetrical Y-shape flaring gate pier which with the contraction ratio respectively of 0.4, 0.7 and 0.445. The RNG turbulence model ,VOF model of water vapor two-phase and iterative solution of geometry reconstruction format for unsteady flow has been applied to generate free surface. Velocity and pressure coupling method using PISO algorithm, with unsteady flow algorithm approaches stable solution of steady flow. And range from the upstream reservoir to downstream stilling basin. Comparatively analyze the experimental and simulation results of aeration cavity length, the two are basically in good agreement, and the maximum error is 10%. Therefore, the numerical simulation has a certain rationality and reliability. Simulation results show that aeration cavity length increased with the contraction ratio decreases, while the maximum negative pressure decreased, and more extensive distribution of negative pressure in stepped spillway.

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Castaño, Santiago López, Andrea Petronio, and Giovanni Petris and Vincenzo Armenio . "Assessment of Solution Algorithms for LES of Turbulent Flows Using OpenFOAM." Fluids 4, no. 3 (2019): 171. http://dx.doi.org/10.3390/fluids4030171.

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We validate and test two algorithms for the time integration of the Boussinesq form of the Navier—Stokes equations within the Large Eddy Simulation (LES) methodology for turbulent flows. The algorithms are implemented in the OpenFOAM framework. From one side, we have implemented an energy-conserving incremental-pressure Runge–Kutta (RK4) projection method for the solution of the Navier–Stokes equations together with a dynamic Lagrangian mixed model for momentum and scalar subgrid-scale (SGS) fluxes; from the other side we revisit the PISO algorithm present in OpenFOAM (pisoFoam) in conjunction with the dynamic eddy-viscosity model for SGS momentum fluxes and a Reynolds Analogy for the scalar SGS fluxes, and used for the study of turbulent channel flows and buoyancy-driven flows. In both cases the validity of the anisotropic filter function, suited for non-homogeneous hexahedral meshes, has been studied and proven to be useful for industrial LES. Preliminary tests on energy-conservation properties of the algorithms studied (without the inclusion of the subgrid-scale models) show the superiority of RK4 over pisoFoam, which exhibits dissipative features. We carried out additional tests for wall-bounded channel flow and for Rayleigh–Bènard convection in the turbulent regime, by running LES using both algorithms. Results show the RK4 algorithm together with the dynamic Lagrangian mixed model gives better results in the cases analyzed for both first- and second-order statistics. On the other hand, the dissipative features of pisoFoam detected in the previous tests reflect in a less accurate evaluation of the statistics of the turbulent field, although the presence of the subgrid-scale model improves the quality of the results compared to a correspondent coarse direct numerical simulation. In case of Rayleigh–Bénard convection, the results of pisoFoam improve with increasing values of Rayleigh number, and this may be attributed to the Reynolds Analogy used for the subgrid-scale temperature fluxes. Finally, we point out that the present analysis holds for hexahedral meshes. More research is need for extension of the methods proposed to general unstructured grids.

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Tang, Yue, Er Hui Liu, Ling Di Tang, and Wang Hui. "Numerical Simulation of the Transient Flow in a Centrifugal Pump during Regulating Period." Advanced Materials Research 268-270 (July 2011): 1407–10. http://dx.doi.org/10.4028/www.scientific.net/amr.268-270.1407.

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Centrifugal pump performance has transient effect obviously during rapid changing period and the pump hydrodynamic performance of transient is different from steady-state process. In order to research the speed regulation characteristics and the inner flow mechanism of the centrifugal pump, numerical method of solving the unsteady fluid flow around the accelerating blade was established. The dynamical changes of the pressure and velocity were simulated by Fluent6.2, using standard k-epsilon turbulence model, PISO algorithm. The dynamic mesh technology and UDF were used to deal with the moving boundary caused by changing speed. Simulation results shown that faster angular acceleration made larger pressure fluctuations. Different regulated time had different influence in the system transient characteristics. And the evolution of the internal flow rate present strong transient performance in the regulating process. The study confirmed the feasibility of dynamic mesh method in solving the transient fluid flow during pump regulating period.

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ssakhov, A. A., and Zh B. Rakhymzhanova. "DETERMINATION OF THE FLOODING ZONE DURING A DAM BREAKS USING THE VOF METHOD BY NUMERICAL SIMULATION." BULLETIN Series of Physics & Mathematical Sciences 76, no. 4 (2021): 29–37. http://dx.doi.org/10.51889/2021-4.1728-7901.04.

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In this paper, we investigated the problem of dam breakage. The authors studied this problem using numerical modeling based on the Navier-Stokes equations with a turbulent k-epsilon RNG model and used the Volume of Fluid (VOF) method and the PISO algorithm. To verify the numerical model, the authors used the test problem of dam break in a 450 channel. The simulation results were compared with experimental data and with numerical data of another author. Having convinced of the correctness of the mathematical model, the authors carried out a numerical simulation of the main problem in three versions: without barriers, with one obstacle, with two obstacles. As the obstructions restrained the flow, a decrease in the water level and a slower time for the appearance of water could be observed. The main goal of this work is to analyze the flow in a channel with complex turn reliefs.

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Gil, Jesús Miguel Sánchez, Tom-Robin Teschner, and László Könözsy. "Implementation of the fractional-step, artificial compressibility with pressure projection (FSAC-PP) method into openfoam for unsteady flows." Multidiszciplináris tudományok 11, no. 5 (2021): 85–91. http://dx.doi.org/10.35925/j.multi.2021.5.9.

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Commercial and open-source CFD solvers rely mostly on incompressible approximate projection methods to overcome the pressure-velocity decoupling, such as the SIMPLE (Patankar, 1980) or PISO (Issa, 1986) algorithm. Incompressible methods based on the Artificial Compressibility method (Chorin, 1967) lack a mechanism to evolve in time and need to be supplemented by a real time derivative through the dual time scheme. The current study investigates the implementation of the explicit dual time discretization of the Artificial Compressibility method into OpenFOAM and extends on that by applying the dual time scheme to the incompressible FSAC-PP method (Könözsy, 2012). Applied to the Couette 2D flow at Re=100 and Re=1000, results show that for both methods accurate time evolutions of the velocity profiles are presented, where the FSAC-PP methods seemingly produces smoother profiles compared to the AC method, especially during the start-up of the simulation.

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KORTYAEVA, Darya O., and Maxim N. NIKITIN. "NUMERICAL STUDY OF NATURAL CONVECTION IN ENCLOSED VOLUME." Urban construction and architecture 6, no. 3 (2016): 146–50. http://dx.doi.org/10.17673/vestnik.2016.03.24.

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A numerical study of natural convection was conducted with Code Saturne soft ware package. A numerical model based on combined k-ω SST turbulence model was developed. The results of simulation of natural convection in enclosed volume of air were obtained in two variants of boundary conditions specification: by heat flux and by heat transfer coefficient. The problem was solved in a non-stationary formulation using a pressure-velocity coupling algorithm PISO. This simulation model adequacy is evaluated. Experimental data on the temperature profile in the central section is used as a benchmark criteria. Assumptions about the destructive factors reducing the accuracy of the solution, are partly supported by the results of comparative analysis of the intensity of convective mixing. Assumptions partially confirmed by the results of comparative analysis of the intensity of convective mixing, performed on the basis of upward velocity profiles for the heated air.

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Ye, Shuai, Yufei Lin, Liyang Xu, and Jiaming Wu. "Improving Initial Guess for the Iterative Solution of Linear Equation Systems in Incompressible Flow." Mathematics 8, no. 1 (2020): 119. http://dx.doi.org/10.3390/math8010119.

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The pressure equation, generated while solving the incompressible Navier–Stokes equations with the segregated iterative algorithm such as PISO, produces a series of linear equation systems as the time step advances. In this paper, we target at accelerating the iterative solution of these linear systems by improving their initial guesses. We propose a weighted group extrapolation method to obtain a superior initial guess instead of a general one, the solution of the previous linear equation system. In this method, the previous solutions that are used to extrapolate the predicted solutions are carefully organized to address the oscillatory solution on each grid. The proposed method uses a weighted average of the predicted solutions as the new initial guess to avoid over extrapolating. Three numerical test results show that the proposed method can accelerate the iterative solution of most linear equation systems and reduce the simulation time up to 61.3%.

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Chang, Jiaqing, Rongchang Xu, Jinsheng Cui, Qiaolin Song, and Teng Shen. "Influences of Liquid Viscosity and Relative Velocity on the Head-On Collisions of Immiscible Drops." Energies 15, no. 22 (2022): 8544. http://dx.doi.org/10.3390/en15228544.

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Many researchers have devoted themselves to the collision processes of binary droplets of the same liquid. However, the liquids used in their study were limited, and the phase diagram of the collision outcome was depicted in terms of the Weber and the non-dimensional impact parameter. In this research, the variety of liquid was broadened, and the phase diagram characterized by the Weber number and the Ohnesorge number for head-on collisions of immiscible drops was provided. First, a ternary flow model of binary collision of immiscible drops in quiescent ambient air was proposed. Second, the three-phase fluid interface was tracked and updated by iterating the VOF (Volume of Fluid) functions. The flow field was also updated with the PISO (Pressure-Implicit with Splitting of Operators) algorithm. Finally, the effects of the impact velocity and the viscosities of the liquids on the deformation degree of droplets were analyzed.

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Cheng, Wenzhuo, and Gan Cui. "Numerical Simulation of Gas Leak Diffusion and Optimization of Sensor Layout in Gas Stations." Applied and Computational Engineering 130, no. 1 (2025): 232–39. https://doi.org/10.54254/2755-2721/2025.20883.

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As a hub for oilfield production and transportation, natural gas stations have complex layouts and numerous pipelines, involving gaseous components such as methane and hydrogen sulfide. In the event of a leak, serious risks such as explosions and poisoning may occur. To address this safety issue, conducting research on the diffusion patterns of natural gas leaks can help prevent and reduce accidents. This paper focuses on a natural gas station as the research object, establishing a model using computational fluid dynamics (CFD) software Fluent combined with the PISO algorithm for leak accident simulation. The results show that, compared to open spaces, leaked gases are more likely to accumulate between two separators or near the tank wall, reaching explosive or toxic concentrations, thus posing higher risks. Based on the gas diffusion patterns obtained from simulations, the sensor layout of the station was optimized to enhance the safety management of the gas station.

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Issakhov, Alibek, and Medina Imanberdiyeva. "Numerical Study of the Movement of Water Surface of Dam Break Flow by VOF Methods for Various Obstacles." International Journal of Nonlinear Sciences and Numerical Simulation 21, no. 5 (2020): 475–500. http://dx.doi.org/10.1515/ijnsns-2018-0278.

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AbstractIn this paper, the movement of the water surface is numerically simulated when a dam is broken by the volume of fluid (VOF) method. The mathematical model is based on the Navier–Stokes equations and uses the large eddy simulation turbulent model, describing the flow of an incompressible viscous fluid and the equation for the phase. These equations are discretized by the finite-volume method. Numerical PISO (Pressure-Implicit with Splitting of Operators) algorithm was chosen for numerical solution of this equation system. The movement of the water surface is captured by using the VOF method, which leads to a strict mass conservation law. The accuracy of the three-dimensional model and the chosen numerical algorithm were tested using several laboratory experiments on dam break problem. In each of the problems, the obtained results were compared with the experimental data and several calculations by other authors and in each of the test problems, the developed model showed results close to the experimental data. Comparison of simulation results with experimental data for various turbulent models was also performed. And also two combined problems were performed which are more close to real conditions; with the help of these problems, flooding zones and flooding time were identified that would help in evacuating people from dangerous zones.

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Fakhari, Ahmad, Željko Tukovic, Olga Sousa Carneiro, and Célio Fernandes. "An Effective Interface Tracking Method for Simulating the Extrudate Swell Phenomenon." Polymers 13, no. 8 (2021): 1305. http://dx.doi.org/10.3390/polym13081305.

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The extrudate swell, i.e., the geometrical modifications that take place when the flowing material leaves the confined flow inside a channel and moves freely without the restrictions that are promoted by the walls, is a relevant phenomenon in several polymer processing techniques. For instance, in profile extrusion, the extrudate cross-section is subjected to a number of distortions that are motivated by the swell, which are very difficult to anticipate, especially for complex geometries. As happens in many industrial processes, numerical modelling might provide useful information to support design tasks, i.e., to allow for identifying the best strategy to compensate the changes promoted by the extrudate swell. This study reports the development of an improved interface tracking algorithm that employs the least-squares volume-to-point interpolation method for the grid movement. The formulation is enriched further with the consistent second-order time-accurate non-iterative Pressure-Implicit with Splitting of Operators (PISO) algorithm, which allows for efficiently simulating free-surface flows. The accuracy and robustness of the proposed solver is illustrated through the simulation of the steady planar and asymmetric extrudate swell flows of Newtonian fluids. The role of inertia on the extrudate swell is studied, and the results that are obtained with the newly improved solver show good agreement with reference data that are found in the scientific literature.

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Gao, Feng, Yanfeng Li, Zhihe Su, Chunlin Wang, Haidong Wang, and Junmei Li. "Optimal human respiratory simulation for exhaled gas based on CFD method." PLOS ONE 19, no. 11 (2024): e0313522. http://dx.doi.org/10.1371/journal.pone.0313522.

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Human breathing is crucial for studying indoor environments and human health. Computational Fluid Dynamics (CFD) is a key tool for simulating human respiration. To enhance the accuracy of CFD simulations and reduce computation time, a new simulation strategy for human respiration is proposed in this paper. The effects of steady versus unsteady boundary conditions on simulation results were examined. For the unsteady boundary, sinusoidal exhalation velocities and non-inhalation gas were assumed, while the steady boundary involved constant velocities during both exhalation and inhalation phases. The jet center trajectory under different boundary conditions was analyzed and compared with experimental data. Additionally, variations in pollutant dispersion near the mouth under the two boundary conditions were discussed. Furthermore, the paper compared the calculation accuracy, calculation time and memory occupied by a single turbulence model or switching flow character models in human respiration simulation. Differences in exhaled gas vorticity and jet penetration depth across different flow models were identified. Finally, combined with the non-iterative algorithm, the optimal strategy of human respiration simulation was proposed. Results show that under the comprehensive consideration of calculation accuracy, calculation time and memory occupancy, using sinusoidal expiratory boundary conditions combined with the PISO algorithm, with the RNG k-ε model during expiratory phase, and switching into the laminar flow during inspiratory phase, is the optimal strategy of simulating human breathing.

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