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Journal articles on the topic 'Incompressible and compressible flow'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Crnojevic´, C., and V. D. Djordjevic´. "Correlated Compressible and Incompressible Channel Flows." Journal of Fluids Engineering 119, no. 4 (1997): 911–15. http://dx.doi.org/10.1115/1.2819516.

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Compressible flow in channels of slowly varying cross section at moderately high Reynolds numbers is treated in the paper by employing some Stewartson-type transformations that convert the problem into an incompressible one. Both adiabatic flow and isothermal flow are considered, and a Poiseuille-type incompressible solution is mapped onto compressible plane in order to generate some exact solutions of the compressible governing equations. The results show striking effects that viscosity may have upon the flow characteristics in this case, in comparison with more conventional high Reynolds num

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2

Sun, Shuaihui, Pei Ren, Pengcheng Guo, Longgang Sun, and Xiaobo Zheng. "Influence of the Gas Model on the Performance and Flow Field Prediction of a Gas–Liquid Two-Phase Hydraulic Turbine." Energies 15, no. 17 (2022): 6325. http://dx.doi.org/10.3390/en15176325.

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A two-phase hydraulic turbine’s performance and flow field were predicted under different Inlet Gas Volume Fractions (IGVF) with incompressible and compressible models, respectively. The calculation equation of equivalent head, hydraulic efficiency, and flow loss considering the expanding work of compressible gas were deduced based on the energy conservation equations. Then, the incompressible and compressible results, including the output power and flow fields, are compared and analyzed. The compressible gas model’s equivalent head, output power, and flow loss are higher than the incompressib

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3

Aboelkassem, Yasser, and Georgios H. Vatistas. "New Model for Compressible Vortices." Journal of Fluids Engineering 129, no. 8 (2007): 1073–79. http://dx.doi.org/10.1115/1.2746897.

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A new analytical solution for self-similar compressible vortices is derived in this paper. Based on the previous incompressible formulation of intense vortices, we derived a theoretical model that includes density and temperature variations. The governing equations are simplified assuming strong vortex conditions. Part of the hydrodynamic problem (mass and momentum) is shown to be analogous to the incompressible kind and as such the velocity is obtained through a straightforward variable transformation. Since all the velocity components are bounded in the radial direction, the density and pres

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4

Mohammed, Fatima A. "Development of algorithm for Newtonian compressible fluid flow based on finite element method." BASRA JOURNAL OF SCIENCE 39, no. 3 (2021): 339–54. http://dx.doi.org/10.29072/basjs.2021302.

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In this article, we present the numerical investigation for compressible Newtonian flow in two dimensional axisymmetric channel. Galerkin finite element method is applied to accommodate compressible and incompressible flows. A continuity equation and time-dependent conservation of momentum equations are used to describe the motion of the fluid, which are maintained in the cylindrical coordinate system (axisymmetric). To meet the method analysis, Poiseuille flow along a circular channel under an isothermal state is used as a simple test problem. This test is conducted by taking a circular secti

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5

Choi, Young-Pil. "Compressible Euler equations interacting with incompressible flow." Kinetic and Related Models 8, no. 2 (2015): 335–58. http://dx.doi.org/10.3934/krm.2015.8.335.

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6

Kim, Donguk, Minsoo Kim, and Seungsoo Lee. "Extension of Compressible Flow Solver to Incompressible Flow Analysis." Journal of the Korean Society for Aeronautical & Space Sciences 49, no. 6 (2021): 449–56. http://dx.doi.org/10.5139/jksas.2021.49.6.449.

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7

Pretorius, J. J., A. G. Malan, and J. A. Visser. "A flow network formulation for compressible and incompressible flow." International Journal of Numerical Methods for Heat & Fluid Flow 18, no. 2 (2008): 185–201. http://dx.doi.org/10.1108/09615530810846338.

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8

Ng’aru, Joseph Mwangi, and Sunho Park. "Computational Analysis of Cavitating Flows around a Marine Propeller Using Incompressible, Isothermal Compressible, and Fully Compressible Flow Solvers." Journal of Marine Science and Engineering 11, no. 11 (2023): 2199. http://dx.doi.org/10.3390/jmse11112199.

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This research investigates cavitation around a marine propeller, employing computational fluid dynamic (CFD) solvers, including an incompressible, isothermal compressible, and fully compressible flow. The investigation commenced with simulations utilizing an incompressible flow solver, subsequently extending to the two compressible flow solvers. In the compressible flow, there is a close interrelation between density, pressure, and temperature, which significantly influences cavitation dynamics. To verify computational methods, verification tests were conducted for leading-edge cavitating flow

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9

Lee, Cheong, Kim, and Kim. "Numerical Analysis and Characterization of Surface Pressure Fluctuations of High-Speed Trains Using Wavenumber–Frequency Analysis." Applied Sciences 9, no. 22 (2019): 4924. http://dx.doi.org/10.3390/app9224924.

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The high-speed train interior noise induced by the exterior flow field is one of the critical issues for product developers to consider during design. The reliable numerical prediction of noise in a passenger cabin due to exterior flow requires the decomposition of surface pressure fluctuations into the hydrodynamic (incompressible) and the acoustic (compressible) components, as well as the accurate computation of the near aeroacoustic field, since the transmission characteristics of incompressible and compressible pressure waves through the wall panel of the cabin are quite different from eac

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10

VON ELLENRIEDER, KARL D., and BRIAN J. CANTWELL. "Self-similar, slightly compressible, free vortices." Journal of Fluid Mechanics 423 (November 3, 2000): 293–315. http://dx.doi.org/10.1017/s0022112000001853.

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Exact and numerical similarity solutions for compressible perturbations to an incompressible, two-dimensional, axisymmetric vortex reference flow are presented. The reference flow consists of a set of two-dimensional, self-similar, incompressible vortices. Similarity variables, which give explicit expressions for the decay rates of the velocities and thermodynamic variables in the vortex flows, are used to reduce the governing partial differential equations to a set of ordinary differential equations. The ODEs are solved analytically and numerically for a Taylor vortex reference flow, and nume

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11

Abramov, Rafail V. "Turbulence via intermolecular potential: A weakly compressible model of gas flow at low Mach number." Physics of Fluids 34, no. 12 (2022): 125104. http://dx.doi.org/10.1063/5.0128281.

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In our recent works, we proposed a theory of turbulence in inertial gas flow via the mean field effect of an intermolecular potential. We found that, in inertial flow, turbulence indeed spontaneously develops from a laminar initial condition, just as observed in nature and experiments. However, we also found that density and temperature behave unrealistically in our inertial flow model. The goal of the current work is to demonstrate the technical possibility of modeling compressible, turbulent flow at a low Mach number where both density and temperature behave in a more realistic fashion. Here

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12

Oggian, T., D. Drikakis, D. L. Youngs, and R. J. R. Williams. "Computing multi-mode shock-induced compressible turbulent mixing at late times." Journal of Fluid Mechanics 779 (August 19, 2015): 411–31. http://dx.doi.org/10.1017/jfm.2015.392.

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Both experiments and numerical simulations pertinent to the study of self-similarity in shock-induced turbulent mixing often do not cover sufficiently long times for the mixing layer to become developed in a fully turbulent manner. When the Mach number of the flow is sufficiently low, numerical simulations based on the compressible flow equations tend to become less accurate due to inherent numerical cancellation errors. This paper concerns a numerical study of the late-time behaviour of a single-shocked Richtmyer–Meshkov instability (RMI) and the associated compressible turbulent mixing using

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13

Sahay, Pratap N., and Tobias M. Müller. "Diffusion in deformable porous media: Incompressible flow limit and implications for permeability estimation from microseismicity." GEOPHYSICS 85, no. 2 (2020): A13—A17. http://dx.doi.org/10.1190/geo2019-0510.1.

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Injecting fluid in a borehole often has been observed to be causally related with seismicity. The standard explanation assumes that a stress perturbation spreads out and triggers rock failure. It has been suggested that this spreading is governed by Biot’s slow P-wave, which is a diffusion process associated with compressible fluid flow. Because the diffusion constant is proportional to the permeability, the space-time evolution of seismicity is exploited to estimate the permeability. However, the more plausible scenario of incompressible fluid flow is beyond the scope of Biot’s theory. We hav

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14

Nasu, Shoichi, and Mutsuto Kawahara. "An Analysis of Compressible Viscous Flows Around a Body Using Finite Element Method." Advanced Materials Research 403-408 (November 2011): 461–65. http://dx.doi.org/10.4028/www.scientific.net/amr.403-408.461.

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The objective of this paper is an analysis of a body in a compressible viscous flow using the finite element method. Generally, when the fluid flow is analyzed, an incompressible viscous flow is often applied. However fluids have compressibility in actual phenomena. Therefore, the compressibility should be concerned in Computational Fluid Dynamics [CFD]. In this study, two kind of equation is applied to basic equations. One is compressible Navier-stokes equation, the other is incompressible Navier-stokes equation considering density variation. These analysis results of both equations are compa

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15

Marner, F., M. Scholle, D. Herrmann, and P. H. Gaskell. "Competing Lagrangians for incompressible and compressible viscous flow." Royal Society Open Science 6, no. 1 (2019): 181595. http://dx.doi.org/10.1098/rsos.181595.

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A recently proposed variational principle with a discontinuous Lagrangian for viscous flow is reinterpreted against the background of stochastic variational descriptions of dissipative systems, underpinning its physical basis from a different viewpoint. It is shown that additional non-classical contributions to the friction force occurring in the momentum balance vanish by time averaging. Accordingly, the discontinuous Lagrangian can alternatively be understood from the standpoint of an analogous deterministic model for irreversible processes of stochastic character. A comparison is made with

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16

BENDAHMANE, MOSTAFA, ZIAD KHALIL, and MAZEN SAAD. "CONVERGENCE OF A FINITE VOLUME SCHEME FOR GAS–WATER FLOW IN A MULTI-DIMENSIONAL POROUS MEDIUM." Mathematical Models and Methods in Applied Sciences 24, no. 01 (2013): 145–85. http://dx.doi.org/10.1142/s0218202513500498.

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This paper deals with construction and convergence analysis of a finite volume scheme for compressible/incompressible (gas–water) flows in porous media. The convergence properties of finite volume schemes or finite element scheme are only known for incompressible fluids. We present a new result of convergence in a two or three dimensional porous medium and under the only consideration that the density of gas depends on global pressure. In comparison with incompressible fluid, compressible fluids requires more powerful techniques; especially the discrete energy estimates are not standard.

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17

Tabrizi, Amir Bashirzadeh, and Binxin Wu. "The role of compressibility in computing noise generated at a cavitating orifice." International Journal of Aeroacoustics 18, no. 1 (2018): 73–91. http://dx.doi.org/10.1177/1475472x18812801.

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The computational fluid dynamics calculation can be accomplished by solving either compressible or incompressible Navier–Stokes equations to determine the flow-field variables of the noise source. The proper assumption depends on both the physical situation and the Mach number. Although in cavitating devices usually we are dealing with low Mach number flow, cavitation is an acoustic phenomenon that can be affected by compressibility. Cavitation behaves acoustically as a monopole and it is mentioned by some researchers that incompressible solution is sufficient to study the dipole sources. Howe

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18

Park, Sunho, Woochan Seok, Sung Taek Park, et al. "Compressibility Effects on Cavity Dynamics behind a Two-Dimensional Wedge." Journal of Marine Science and Engineering 8, no. 1 (2020): 39. http://dx.doi.org/10.3390/jmse8010039.

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To understand cavity dynamics, many experimental and computational studies have been conducted for many decades. As computational methods, incompressible, isothermal compressible, and fully compressible flow solvers were used for the purpose. In the present study, to understand the compressibility effect on cavity dynamics, both incompressible and fully compressible flow solvers were developed, respectively. Experiments were also carried out in a cavitation tunnel to compare with the computational results. The cavity shedding dynamics, re-entrant jet, transition from bounded shear layer vortic

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19

Yu, Qin, Chai, Huang, and Liu. "The Effect of Compressible Flow on Heat Transfer Performance of Heat Exchanger by Computational Fluid Dynamics (CFD) Simulation." Entropy 21, no. 9 (2019): 829. http://dx.doi.org/10.3390/e21090829.

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As a part of vehicle thermal management, water-cooled intercoolers play an important role in engine efficiency. The incompressible simulation model was usually applied to estimate the performance of water-cooled intercoolers. In this paper, the computational fluid dynamics (CFD) compressible model is taken to analyze more accurate prediction models. The rate of section change, heat exchange, and the surface friction coefficient are used as the comparison basis of the compressible flow model and incompressible model on the pressurized air side of the water-cooled intercooler. By comparing the s

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20

TIMMERMANS, MARY-LOUISE E., JOHN R. LISTER, and HERBERT E. HUPPERT. "Compressible particle-driven gravity currents." Journal of Fluid Mechanics 445 (October 16, 2001): 305–25. http://dx.doi.org/10.1017/s0022112001005705.

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Large-scale particle-driven gravity currents occur in the atmosphere, often in the form of pyroclastic flows that result from explosive volcanic eruptions. The behaviour of these gravity currents is analysed here and it is shown that compressibility can be important in flow of such particle-laden gases because the presence of particles greatly reduces the density scale height, so that variations in density due to compressibility are significant over the thickness of the flow. A shallow-water model of the flow is developed, which incorporates the contribution of particles to the density and the

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21

Gibis, Tobias, Christoph Wenzel, Markus Kloker, and Ulrich Rist. "Self-similar compressible turbulent boundary layers with pressure gradients. Part 2. Self-similarity analysis of the outer layer." Journal of Fluid Mechanics 880 (October 9, 2019): 284–325. http://dx.doi.org/10.1017/jfm.2019.672.

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A thorough self-similarity analysis is presented to investigate the properties of self-similarity for the outer layer of compressible turbulent boundary layers. The results are validated using the compressible and quasi-incompressible direct numerical simulation (DNS) data shown and discussed in the first part of this study; see Wenzel et al. (J. Fluid Mech., vol. 880, 2019, pp. 239–283). The analysis is carried out for a general set of characteristic scales, and conditions are derived which have to be fulfilled by these sets in case of self-similarity. To evaluate the main findings derived, f

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22

Bazdidi-Tehrani, F., A. Abouata, M. Hatami, and N. Bohlooli. "Investigation of effects of compressibility, geometric and flow parameters on the simulation of a synthetic jet behaviour." Aeronautical Journal 120, no. 1225 (2016): 521–46. http://dx.doi.org/10.1017/aer.2016.8.

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ABSTRACTThe present paper focuses on a three-dimensional unsteady turbulent synthetic jet to assess the accuracy of a compressible simulation and some important parameters including the simulations of the actuator, cavity height and Reynolds number. The two-equationSST/k− ω turbulence model is used to predict the flow behaviour. Results show that the compressible simulation case is more accurate than the incompressible one and the dynamic mesh exhibits more reliable results than the mass flow inlet boundary in the compressible simulation. The compressible case displays a delay in the phase of

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23

Keogh, J., G. Doig, and S. Diasinos. "Flow compressibility effects around an open-wheel racing car." Aeronautical Journal 118, no. 1210 (2014): 1409–31. http://dx.doi.org/10.1017/s0001924000010125.

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AbstractA numerical investigation has been conducted into the influence of flow compressibility effects around an open-wheeled racing car. A geometry was created to comply with 2012 F1 regulations. Incompressible and compressible CFD simulations were compared – firstly with models which maintained Reynolds number as Mach number increased, and secondly allowing Mach number and Reynolds number to increase together as they would on track. Results demonstrated significant changes to predicted aerodynamic performance even below Mach 0·15. While the full car coefficients differed by a few percent, i

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24

Wang, Jianchun, Yipeng Shi, Lian-Ping Wang, Zuoli Xiao, X. T. He, and Shiyi Chen. "Effect of compressibility on the small-scale structures in isotropic turbulence." Journal of Fluid Mechanics 713 (October 17, 2012): 588–631. http://dx.doi.org/10.1017/jfm.2012.474.

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AbstractUsing a simulated highly compressible isotropic turbulence field with turbulent Mach number around 1.0, we studied the effects of local compressibility on the statistical properties and structures of velocity gradients in order to assess salient small-scale features pertaining to highly compressible turbulence against existing theories for incompressible turbulence. A variety of statistics and local flow structures conditioned on the local dilatation – a measure of local flow compressibility – are studied. The overall enstrophy production is found to be enhanced by compression motions

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25

Ding, Shijin, Jinrui Huang, Huanyao Wen, and Ruizhao Zi. "Incompressible limit of the compressible nematic liquid crystal flow." Journal of Functional Analysis 264, no. 7 (2013): 1711–56. http://dx.doi.org/10.1016/j.jfa.2013.01.011.

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26

Zienkiewicz, O. C., J. Szmelter, and J. Peraire. "Compressible and incompressible flow; An algorithm for all seasons." Computer Methods in Applied Mechanics and Engineering 78, no. 1 (1990): 105–21. http://dx.doi.org/10.1016/0045-7825(90)90155-f.

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27

Moreira, E. A., M. D. M. Innocentini, and J. R. Coury. "Permeability of ceramic foams to compressible and incompressible flow." Journal of the European Ceramic Society 24, no. 10-11 (2004): 3209–18. http://dx.doi.org/10.1016/j.jeurceramsoc.2003.11.014.

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28

Wang, Dehua, and Cheng Yu. "Incompressible Limit for the Compressible Flow of Liquid Crystals." Journal of Mathematical Fluid Mechanics 16, no. 4 (2014): 771–86. http://dx.doi.org/10.1007/s00021-014-0185-2.

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29

Danabasoglu, G., A. Saati, and S. Biringen. "Three-dimensional simulations of incompressible and compressible flow stability." Computer Physics Communications 65, no. 1-3 (1991): 76–83. http://dx.doi.org/10.1016/0010-4655(91)90157-g.

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30

Lee, Songjune, Cheolung Cheong, Byunghee Kim, and Jaehwan Kim. "Comparative Analysis of Surface Pressure Fluctuations of High-Speed Train Running in Open-Field and Tunnel Using LES and Wavenumber-Frequency Analysis." Applied Sciences 11, no. 24 (2021): 11702. http://dx.doi.org/10.3390/app112411702.

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The interior noise of a high-speed train due to the external flow disturbance is more than ever a major problem for product developers to consider during a design state. Since the external surface pressure field induces wall panel vibration of a high-speed train, which in turn generates the interior sound, the first step for low interior noise design is to characterize the surface pressure fluctuations due to external disturbance. In this study, the external flow field of a high-speed train cruising at a speed of 300 km/h in open-field and tunnel are numerically investigated using high-resolut

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31

Chen, Jian, Linlin Geng, Esteve Jou, and Xavier Escaler. "Comparative Performance Assessment between Incompressible and Compressible Solvers to Simulate a Cavitating Wake." Fluids 9, no. 9 (2024): 218. http://dx.doi.org/10.3390/fluids9090218.

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To study the effects of fluid compressibility on the dynamics of a cavitating vortex street flow in a regime where the vortex shedding frequency increases as a result of the cavitation increase, the cavitating wake behind a wedge was simulated employing both incompressible and compressible solvers. To do this, a compressible cavitation model was implemented, modifying the Zwart-Gerber-Belamri (ZGB) incompressible solver and including a pressure limit and absorbing boundary conditions to prevent a non-physical pressure field. To validate the performance of the compressible model, preliminary si

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32

Amiet, R. K. "On the second-order solution to the Sears problem for compressible flow." Journal of Fluid Mechanics 254 (September 1993): 213–28. http://dx.doi.org/10.1017/s0022112093002095.

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Significant simplifications and minor corrections are made to a previous second-order solution of Graham & Kullar for the lift on a flat-plate airfoil encountering a sinusoidal gust in compressible flow. The related cases of a skewed gust in incompressible flow, a parallel gust in compressible flow and the generalized case of a skewed gust in compressible flow are considered. In addition to the simplifications, the solutions are combined into a composite solution that is more accurate than the solutions from which it is composed, making it useful for numerical calculations.

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33

Brower, W. B., E. Eisler, E. J. Filkorn, J. Gonenc, C. Plati, and J. Stagnitti. "On the Compressible Flow Through an Orifice." Journal of Fluids Engineering 115, no. 4 (1993): 660–64. http://dx.doi.org/10.1115/1.2910195.

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A new theory for the compressible flow through an orifice is presented which provides a significant advance over the approach currently employed. As the flow approaches the critical regime (local sonic condition), measurements diverge from the theoretical result due to the non-one-dimensionality of the flow. Nevertheless, a straightforward correlation is available, and the measurements for different pipe/orifice geometries all appear to lie in the vicinity of a single, universal curve. As the flow approaches the incompressible condition the correlation factor (the discharge coefficient) become

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34

Kwon, O. Key, R. H. Pletcher, and R. A. Delaney. "Solution Procedure for Unsteady Two-Dimensional Boundary Layers." Journal of Fluids Engineering 110, no. 1 (1988): 69–75. http://dx.doi.org/10.1115/1.3243513.

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An accurate and reliable solution procedure is presented for solving the two-dimensional, compressible, unsteady boundary layer equations. The procedure solves the governing equations in a coupled manner using a fully implicit finite-difference numerical algorithm. Several unsteady compressible and incompressible laminar flows are considered. Example results for two unsteady incompressible turbulent flows are also included. An algebraic mixing length closure model is used for the turbulent flow calculations. The computed results compare favorably with experimental data and available analytical

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35

Mitsuya, Y., and S. Fukui. "Stokes Roughness Effects on Hydrodynamic Lubrication. Part I—Comparison Between Incompressible and Compressible Lubricating Films." Journal of Tribology 108, no. 2 (1986): 151–58. http://dx.doi.org/10.1115/1.3261153.

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A perturbation method for the Navier-Stokes equations is presented for analyzing Stokes roughness effects on hydrodynamic lubrication in both incompressible and compressible films. The solution is obtained from direct numerical calculation by using an actual rough spacing, without applying the currently accepted assumption that the roughness height should be small. The roughness wavelength and height influences on flow rate, load carrying capacity and frictional force are clarified. Secondary quantities induced by Stokes effects are found to be proportional to wavenumber n squared for sufficie

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Wittbrodt, M. J., and M. J. Pechersky. "A Hydrodynamic Analysis of Fluid Flow Between Meshing Spur Gear Teeth." Journal of Mechanisms, Transmissions, and Automation in Design 111, no. 3 (1989): 395–401. http://dx.doi.org/10.1115/1.3259012.

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A hydrodynamic analysis of the pumping action resulting from the meshing of spur gear teeth was performed. Both compressible (for air) and incompressible (for oil) flow cases were considered. The computed results included the velocity of the fluid at the minimum flow area between the meshing teeth. The pressure and temperature in the mesh region were also computed for the compressible flow case. The velocities were computed as a function of the mesh angle with the pitch line velocity as the normalizing parameter. The calculations required a detailed analysis of the involute geometry to compute

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37

MANELA, A., and I. FRANKEL. "On the compressible Taylor–Couette problem." Journal of Fluid Mechanics 588 (September 24, 2007): 59–74. http://dx.doi.org/10.1017/s0022112007007422.

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We consider the linear temporal stability of a Couette flow of a Maxwell gas within the gap between a rotating inner cylinder and a concentric stationary outer cylinder both maintained at the same temperature. The neutral curve is obtained for arbitrary Mach (Ma) and arbitrarily small Knudsen (Kn) numbers by use of a ‘slip-flow’ continuum model and is verified via comparison to direct simulation Monte Carlo results. At subsonic rotation speeds we find, for the radial ratios considered here, that the neutral curve nearly coincides with the constant-Reynolds-number curve pertaining to the critic

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38

Fannon, J. S., I. R. Moyles, and A. C. Fowler. "Application of the compressible -dependent rheology to chute and shear flow instabilities." Journal of Fluid Mechanics 864 (February 14, 2019): 1026–57. http://dx.doi.org/10.1017/jfm.2019.43.

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We consider the instability properties of dense granular flow in inclined plane and plane shear geometries as tests for the compressible inertial-dependent rheology. The model, which is a recent generalisation of the incompressible $\unicode[STIX]{x1D707}(I)$ rheology, constitutes a hydrodynamical description of dense granular flow which allows for variability in the solids volume fraction. We perform a full linear stability analysis of the model and compare its predictions to existing experimental data for glass beads on an inclined plane and discrete element simulations of plane shear in the

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39

Pérez-Ràfols, F., P. Wall, and A. Almqvist. "On compressible and piezo-viscous flow in thin porous media." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2209 (2018): 20170601. http://dx.doi.org/10.1098/rspa.2017.0601.

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In this paper, we study flow through thin porous media as in, e.g. seals or fractures. It is often useful to know the permeability of such systems. In the context of incompressible and iso-viscous fluids, the permeability is the constant of proportionality relating the total flow through the media to the pressure drop. In this work, we show that it is also relevant to define a constant permeability when compressible and/or piezo-viscous fluids are considered. More precisely, we show that the corresponding nonlinear equation describing the flow of any compressible and piezo-viscous fluid can be

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40

Gao, Yuan, Liuming Yang, Yang Yu, Guoxiang Hou, and Zhongbao Hou. "Improved simplified and highly stable lattice Boltzmann methods for incompressible flows." International Journal of Modern Physics C 32, no. 06 (2021): 2150077. http://dx.doi.org/10.1142/s0129183121500777.

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In this work, improved simplified and highly stable lattice Boltzmann methods (SHSLBMs) are developed for incompressible flows. The SHSLBM is a newly developed scheme within the lattice Boltzmann method (LBM) framework, which utilizes the fractional step technology to resolve the governing equations recovered from lattice Boltzmann equation (LBE) and reconstructs the equations in the Lattice Boltzmann frame. By this treatment, the SHSLBM directly tracks the macroscopic variables in the evolution process rather than the distribution functions of each grid node, which greatly saves virtual memor

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TAYLOR, M. J., and N. PEAKE. "The long-time impulse response of compressible swept-wing boundary layers." Journal of Fluid Mechanics 379 (January 25, 1999): 333–50. http://dx.doi.org/10.1017/s0022112098003516.

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Following the investigation of the long-time limit of the impulse response of an incompressible swept boundary layer (Taylor & Peake 1998), we now consider the corresponding behaviour of two representative sets of compressible swept-wing profiles, one set in subsonic flow and the other in supersonic flow. The key feature of the incompressible analysis was the occurrence of modal pinch points in the cross-flow wavenumber plane, and in this paper the existence of such pinches over a wide portion of space in high-speed flow is confirmed. We also show that close to the attachment line, no unst

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Benacchio, Tommaso, Warren P. O’Neill, and Rupert Klein. "A Blended Soundproof-to-Compressible Numerical Model for Small- to Mesoscale Atmospheric Dynamics." Monthly Weather Review 142, no. 12 (2014): 4416–38. http://dx.doi.org/10.1175/mwr-d-13-00384.1.

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Abstract A blended model for atmospheric flow simulations is introduced that enables seamless transition from fully compressible to pseudo-incompressible dynamics. The model equations are written in nonperturbation form and integrated using a well-balanced second-order finite-volume discretization. The semi-implicit scheme combines an explicit predictor for advection with elliptic corrections for the pressure field. Compressibility is implemented in the elliptic equations through a diagonal term. The compressible/pseudo-incompressible transition is realized by suitably weighting the term and p

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Parmar, M., A. Haselbacher, and S. Balachandar. "On the unsteady inviscid force on cylinders and spheres in subcritical compressible flow." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 366, no. 1873 (2008): 2161–75. http://dx.doi.org/10.1098/rsta.2008.0027.

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The unsteady inviscid force on cylinders and spheres in subcritical compressible flow is investigated. In the limit of incompressible flow, the unsteady inviscid force on a cylinder or sphere is the so-called added-mass force that is proportional to the product of the mass displaced by the body and the instantaneous acceleration. In compressible flow, the finite acoustic propagation speed means that the unsteady inviscid force arising from an instantaneously applied constant acceleration develops gradually and reaches steady values only for non-dimensional times c ∞ t / R ≳10, where c ∞ is the

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El Ouafa, Simon, Stephane Vincent, Vincent Le Chenadec, Benoît Trouette, Syphax Ferreka, and Amine Chadil. "A Compressible Formulation of the One-Fluid Model for Two-Phase Flows." Fluids 9, no. 4 (2024): 90. http://dx.doi.org/10.3390/fluids9040090.

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In this paper, we introduce a compressible formulation for dealing with 2D/3D compressible interfacial flows. It integrates a monolithic solver to achieve robust velocity–pressure coupling, ensuring precision and stability across diverse fluid flow conditions, including incompressible and compressible single-phase and two-phase flows. Validation of the model is conducted through various test scenarios, including Sod’s shock tube problem, isothermal viscous two-phase flows without capillary effects, and the impact of drops on viscous liquid films. The results highlight the ability of the scheme

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Jiang, Ning, Yi-Long Luo, and Shaojun Tang. "On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow." Mathematical Models and Methods in Applied Sciences 29, no. 01 (2019): 121–83. http://dx.doi.org/10.1142/s0218202519500052.

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We study the well-posedness of the Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow. Inspired by our study for incompressible case [N. Jiang and Y.-L. Luo, On well-posedness of Ericsen–Leslie’s hyperbolic incompressible liquid crystal model, preprint (2017), arXiv:1709.06370v1 ] and some techniques from compressible Navier–Stokes equations, we first prove the local-in-time existence of the classical solution to the system with finite initial energy, under some natural constraints on the Leslie coefficients which ensure that the basic energy law is dissipative. F

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Gu, F., A. Engeda, and E. Benisek. "A comparative study of incompressible and compressible design approaches of radial inflow turbine volutes." Proceedings of the Institution of Mechanical Engineers, Part A: Journal of Power and Energy 215, no. 4 (2001): 475–86. http://dx.doi.org/10.1243/0957650011538730.

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The one-dimensional design approaches of radial inflow turbine volutes can be catalogued into incompressible and compressible. This paper investigates the degree to which they differ from each other in terms of design parameters, such as the distribution of ratio of area to radius A/ r and radius r, and in terms of flow deviation from the free vortex pattern. Theoretical analysis proves that the incompressible approaches failed to provide free vortex and uniform flow for the wheel in compressible flow regimes. A numerical simulation on a previously designed and tested volute shows that the wak

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Song, Charles C. S., and Mingshun Yuan. "A Weakly Compressible Flow Model and Rapid Convergence Methods." Journal of Fluids Engineering 110, no. 4 (1988): 441–45. http://dx.doi.org/10.1115/1.3243575.

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A weakly compressible flow model for small Mach number flows is applied to the computation of steady and unsteady inviscid flows. The equations of continuity and motion are decoupled from the energy equation, but, unlike the equations for incompressible fluids, these equations retain the ability to represent rapidly changing flows such as hydraulic transients and hydroacoustics. Two methods to speed up the process of convergence when an explicit method is used to calculate steady incompressible flows are proposed. The first method which is quite similar to the artificial compressiblity method

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Turgeon, E., and D. Pelletier. "Unified Formulation for Compressible-Incompressible Flow Simulation with Mesh Adaptation." AIAA Journal 39, no. 12 (2001): 2425–27. http://dx.doi.org/10.2514/2.1260.

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Turgeon, E., and D. Pelletier. "Unified formulation for compressible-incompressible flow simulation with mesh adaptation." AIAA Journal 39 (January 2001): 2425–27. http://dx.doi.org/10.2514/3.15049.

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Marjanovic´, Predrag, and Vladan Djordjevic´. "On the Compressible Flow Losses Through Abrupt Enlargements and Contractions." Journal of Fluids Engineering 116, no. 4 (1994): 756–62. http://dx.doi.org/10.1115/1.2911846.

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The well-known structure of incompressible flow through abrupt enlargements and contractions is applied to the subsonic compressible flow through the same area change. Using the basic system of equations for 1-D model of flow, both cases are solved for adiabatic and isothermal conditions. The changes for all flow parameters (M, v, p, p0, T, T0, s) are obtained analytically and shown graphically. The results are compared with the available experimental data.

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