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1

Wu, Y. L., C. Shu, and H. Ding. "Simulation of Incompressible Viscous Flows by Local DFD-Immersed Boundary Method." Advances in Applied Mathematics and Mechanics 4, no. 03 (2012): 311–24. http://dx.doi.org/10.4208/aamm.10-m1171.

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AbstractA local domain-free discretization-immersed boundary method (DFD-IBM) is presented in this paper to solve incompressible Navier-Stokes equations in the primitive variable form. Like the conventional immersed boundary method (IBM), the local DFD-IBM solves the governing equations in the whole domain including exterior and interior of the immersed object. The effect of immersed boundary to the surrounding fluids is through the evaluation of velocity at interior and exterior dependent points. To be specific, the velocity at interior dependent points is computed by approximate forms of sol
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2

Zhao, Xiang, Liming Yang, Chang Xu, and Chang Shu. "An overset boundary condition-enforced immersed boundary method for incompressible flows with large moving boundary domains." Physics of Fluids 34, no. 10 (2022): 103613. http://dx.doi.org/10.1063/5.0122257.

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Conventional immersed boundary methods (IBMs) have greatly simplified the boundary condition treatment by interpreting boundaries as forces in the source terms of governing equations. In conventional IBMs, uniform meshes of very high resolution must be applied near the immersed boundary to treat the solid–fluid interface. However, this can induce a high computational cost for simulating flows with large moving boundary domains, where everywhere along the trajectory of the moving object must be refined isotropically. In the worst scenario, a global refinement is required when the object is movi
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3

Hu, Yang, Decai Li, Shi Shu, and Xiaodong Niu. "An Efficient Immersed Boundary-Lattice Boltzmann Method for the Simulation of Thermal Flow Problems." Communications in Computational Physics 20, no. 5 (2016): 1210–57. http://dx.doi.org/10.4208/cicp.090815.170316a.

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AbstractIn this paper, a diffuse-interface immersed boundary method (IBM) is proposed to treat three different thermal boundary conditions (Dirichlet, Neumann, Robin) in thermal flow problems. The novel IBM is implemented combining with the lattice Boltzmann method (LBM). The present algorithm enforces the three types of thermal boundary conditions at the boundary points. Concretely speaking, the IBM for the Dirichlet boundary condition is implemented using an iterative method, and its main feature is to accurately satisfy the given temperature on the boundary. The Neumann and Robin boundary c
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4

LI, Q., C. SHU, and H. Q. CHEN. "SIMULATION OF INCOMPRESSIBLE VISCOUS FLOWS BY BOUNDARY CONDITION-IMPLEMENTED IMMERSED BOUNDARY METHOD." Modern Physics Letters B 23, no. 03 (2009): 345–48. http://dx.doi.org/10.1142/s0217984909018369.

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A new numerical approach is presented in this work to simulate incompressible flows. The present approach combines the ideas of the conventional immersed boundary method (IBM) for decoupling the solution of governing equations with the solid boundary and the local domain-free discretization (DFD) method for implementation of boundary conditions. Numerical results for simulation of flows around a circular cylinder showed that the present approach can provide accurate solutions effectively.
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5

JIANG, XIAOHAI, ZHIHUA CHEN, and HONGZHI LI. "NUMERICAL INVESTIGATION ON THE INTERACTION OF CYLINDER AND SHOCKWAVE BASED ON THE IMMERSED BOUNDARY METHOD." Modern Physics Letters B 23, no. 03 (2009): 317–20. http://dx.doi.org/10.1142/s0217984909018291.

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The immersed boundary method (IBM) is an innovative approach for modeling flow with complex geometries and is more efficient than traditional method. In the present investigation, the shock wave propagation over one circular cylinder is simulated numerically with the Ghost-Body Immersed Boundary Method and high-resolution Roe scheme. To validate the IBM, a plane incident shock wave passing through a square cylinder is predicted and good agreement with previous experiments was obtained. Then based on our calculation, the reflection and diffraction processes of a shock wave passing through a cir
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6

Wu, Jiayang, Yongguang Cheng, Chunze Zhang, and Wei Diao. "Three-Dimensional Simulation of Balloon Dynamics by the Immersed Boundary Method Coupled to the Multiple-Relaxation-Time Lattice Boltzmann Method." Communications in Computational Physics 17, no. 5 (2015): 1271–300. http://dx.doi.org/10.4208/cicp.2014.m385.

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AbstractThe immersed boundary method (IBM) has been popular in simulating fluid structure interaction (FSI) problems involving flexible structures, and the recent introduction of the lattice Boltzmann method (LBM) into the IBM makes the method more versatile. In order to test the coupling characteristics of the IBM with the multiple-relaxation-time LBM (MRT-LBM), the three-dimensional (3D) balloon dynamics, including inflation, release and breach processes, are simulated. In this paper, some key issues in the coupling scheme, including the discretization of 3D boundary surfaces, the calculatio
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7

Chen, Yong Guang, and Li Wan. "Immersed Boundary Lattice Boltzmann Method to Simulate Fluid Flows with Flexible Boundaries." Applied Mechanics and Materials 670-671 (October 2014): 659–63. http://dx.doi.org/10.4028/www.scientific.net/amm.670-671.659.

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The immersed boundary method (IBM) for the simulation of the interaction between fluid and flexible boundaries in combination with the lattice Boltzmann method (LBM) is described. The LBM is used to compute the flow field, the interaction between fluid and flexible boundaries to be treated by the IBM. To analyze the key factors of combination method and implementation process. An example is presented to verify the efficiency and accuracy of the described algorithm. These will provide a base for large scale simulation involving flexible boundaries in the future.
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8

Bao, Jingyi, Fotini Katopodes Chow, and Katherine A. Lundquist. "Large-Eddy Simulation over Complex Terrain Using an Improved Immersed Boundary Method in the Weather Research and Forecasting Model." Monthly Weather Review 146, no. 9 (2018): 2781–97. http://dx.doi.org/10.1175/mwr-d-18-0067.1.

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Abstract The Weather Research and Forecasting (WRF) Model is increasingly being used for higher-resolution atmospheric simulations over complex terrain. With increased resolution, resolved terrain slopes become steeper, and the native terrain-following coordinates used in WRF result in numerical errors and instability. The immersed boundary method (IBM) uses a nonconformal grid with the terrain surface represented through interpolated forcing terms. Lundquist et al.’s WRF-IBM implementation eliminates the limitations of WRF’s terrain-following coordinate and was previously validated with a no-
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9

SALEEL, C. A., A. SHAIJA, and S. JAYARAJ. "COMPUTATIONAL SIMULATION OF FLUID FLOW OVER A TRIANGULAR STEP USING IMMERSED BOUNDARY METHOD." International Journal of Computational Methods 10, no. 04 (2013): 1350016. http://dx.doi.org/10.1142/s0219876213500163.

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Handling of complex geometries with fluid–solid interaction has been one of the exigent issues in computational fluid dynamics (CFD) because most engineering problems have complex geometries with fluid–solid interaction for the purpose. Two different approaches have been developed for the same hitherto: (i) The unstructured grid method and (ii) the immersed boundary method (IBM). This paper details the IBM for the numerical investigation of two-dimensional laminar flow over a backward facing step and various geometrically configured triangular steps in hydro-dynamically developing regions (ent
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10

Ye, Haixuan, Yang Chen, and Kevin Maki. "A Discrete-Forcing Immersed Boundary Method for Moving Bodies in Air–Water Two-Phase Flows." Journal of Marine Science and Engineering 8, no. 10 (2020): 809. http://dx.doi.org/10.3390/jmse8100809.

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For numerical simulations of ship and offshore hydrodynamic problems, it is challenging to model the interaction between the free surface and moving complex geometries. This paper proposes a discrete-forcing immersed boundary method (IBM) to efficiently simulate moving solid boundaries in incompressible air–water two-phase flows. In the present work, the air–water two-phase flows are modeled using the Volume-of-Fluid (VoF) method. The present IBM is suitable for unstructured meshes. It can be used combined with body-fitted wall boundaries to model the relative motions between solid walls, whic
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11

Hu, Yang, Xiao-Dong Niu, Shi Shu, Haizhuan Yuan, and Mingjun Li. "Natural Convection in a Concentric Annulus: A Lattice Boltzmann Method Study with Boundary Condition-Enforced Immersed Boundary Method." Advances in Applied Mathematics and Mechanics 5, no. 03 (2013): 321–36. http://dx.doi.org/10.4208/aamm.12-m12116.

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AbstractIn this paper, a boundary condition-enforced IBM is introduced into the LBM in order to satisfy the non-slip and temperature boundary conditions, and natural convections in a concentric isothermal annulus between a square outer cylinder and a circular inner cylinder are simulated. The obtained results show that the boundary condition-enforced method gives a better solution for the flow field and the complicated physics of the natural convections in the selected case is correctly captured. The calculated average Nusselt numbers agree well with the previous studies.
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12

BOFFI, DANIELE, NICOLA CAVALLINI, and LUCIA GASTALDI. "FINITE ELEMENT APPROACH TO IMMERSED BOUNDARY METHOD WITH DIFFERENT FLUID AND SOLID DENSITIES." Mathematical Models and Methods in Applied Sciences 21, no. 12 (2011): 2523–50. http://dx.doi.org/10.1142/s0218202511005829.

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The Immersed Boundary Method (IBM) has been designed by Peskin for the modeling and the numerical approximation of fluid-structure interaction problems, where flexible structures are immersed in a fluid. In this approach, the Navier–Stokes equations are considered everywhere and the presence of the structure is taken into account by means of a source term which depends on the unknown position of the structure. These equations are coupled with the condition that the structure moves at the same velocity of the underlying fluid. Recently, a finite element version of the IBM has been developed, wh
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Auguste, Franck, Christine Lac, Valery Masson, and Daniel Cariolle. "Large-Eddy Simulations with an Immersed Boundary Method: Pollutant Dispersion over Urban Terrain." Atmosphere 11, no. 1 (2020): 113. http://dx.doi.org/10.3390/atmos11010113.

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In urban canopies, the variability of pollution may be influenced by the presence of surface heterogeneities like orography and buildings. Using the Meso-NH model enhanced with an immersed boundary method (IBM) to represent accurately the impact of the 3D shape of buildings on the flow, large-eddy simulations are performed over city of Toulouse (France) with the dispersion of a plume following a plant explosion on 21 September 2001. The event is characterized by a large quantity of nitrogen dioxide released in a vertical column after the explosion, quickly dispersed by a moderate wind prevaili
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14

Kanchan, Mithun, and Ranjith Maniyeri. "Numerical Simulation of Flow in a Wavy Wall Microchannel Using Immersed Boundary Method." Recent Patents on Mechanical Engineering 13, no. 2 (2020): 118–25. http://dx.doi.org/10.2174/2212797613666200207111629.

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Background: Fluid flow in microchannels is restricted to low Reynolds number regimes and hence inducing chaotic mixing in such devices is a major challenge. Over the years, the Immersed Boundary Method (IBM) has proved its ability in handling complex fluid-structure interaction problems. Objectives: Inspired by recent patents in microchannel mixing devices, we study passive mixing effects by performing two-dimensional numerical simulations of wavy wall in channel flow using IBM. Methods: The continuity and Navier-Stokes equations governing the flow are solved by fractional step based finite vo
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15

Zhang, Pan, Zhenhua Xia, and Qingdong Cai. "Numerical simulation of h-adaptive immersed boundary method for freely falling disks." Modern Physics Letters B 32, no. 12n13 (2018): 1840002. http://dx.doi.org/10.1142/s021798491840002x.

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In this work, a freely falling disk with aspect ratio 1/10 is directly simulated by using an adaptive numerical model implemented on a parallel computation framework JASMIN. The adaptive numerical model is a combination of the h-adaptive mesh refinement technique and the implicit immersed boundary method (IBM). Our numerical results agree well with the experimental results in all of the six degrees of freedom of the disk. Furthermore, very similar vortex structures observed in the experiment were also obtained.
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16

Mizuno, Yusuke, Shun Takahashi, Taku Nonomura, Takayuki Nagata, and Kota Fukuda. "A Simple Immersed Boundary Method for Compressible Flow Simulation around a Stationary and Moving Sphere." Mathematical Problems in Engineering 2015 (2015): 1–17. http://dx.doi.org/10.1155/2015/438086.

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This study is devoted to investigating a flow around a stationary or moving sphere by using direct numerical simulation with immersed boundary method (IBM) for the three-dimensional compressible Navier-Stokes equations. A hybrid scheme developed to solve both shocks and turbulent flows is employed to solve the flow around a sphere in the equally spaced Cartesian mesh. Drag coefficients of the spheres are compared with reliable values obtained from highly accurate boundary-fitted coordinate (BFC) flow solver to clarify the applicability of the present method. As a result, good agreement was obt
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17

Auguste, Franck, Géraldine Réa, Roberto Paoli, Christine Lac, Valery Masson, and Daniel Cariolle. "Implementation of an immersed boundary method in the Meso-NH v5.2 model: applications to an idealized urban environment." Geoscientific Model Development 12, no. 6 (2019): 2607–33. http://dx.doi.org/10.5194/gmd-12-2607-2019.

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Abstract. This study describes the numerical implementation, verification and validation of an immersed boundary method (IBM) in the atmospheric solver Meso-NH for applications to urban flow modeling. The IBM represents the fluid–solid interface by means of a level-set function and models the obstacles as part of the resolved scales. The IBM is implemented by means of a three-step procedure: first, an explicit-in-time forcing is developed based on a novel ghost-cell technique that uses multiple image points instead of the classical single mirror point. The second step consists of an implicit s
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18

Ying, Wei, Ryu Fattah, Sinforiano Cantos, Siyang Zhong, and Tatiana Kozubskaya. "Computational aeroacoustics of aerofoil leading edge noise using the volume penalization-based immersed boundary methods." International Journal of Aeroacoustics 21, no. 1-2 (2022): 74–94. http://dx.doi.org/10.1177/1475472x221079557.

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Broadband noise due to the turbulence-aerofoil interaction, which is also called the leading edge noise, is one of the major noise sources of aircraft (including the engine). To study the noise properties numerically is a popular approach with the increasing power of computers. Conventional approaches of using body-fitted grids at the boundaries would be convoluted due to the complex geometries, which can constrain the efficiency of parametric studies. A promising approach to tackle this issue is to use the immersed boundary method (IBM). Among various IBM variants, the volume penalization (VP
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19

Lundquist, Katherine A., Fotini Katopodes Chow, and Julie K. Lundquist. "An Immersed Boundary Method Enabling Large-Eddy Simulations of Flow over Complex Terrain in the WRF Model." Monthly Weather Review 140, no. 12 (2012): 3936–55. http://dx.doi.org/10.1175/mwr-d-11-00311.1.

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Abstract This paper describes a three-dimensional immersed boundary method (IBM) that facilitates the explicit resolution of complex terrain within the Weather Research and Forecasting (WRF) model. Two interpolation methods—trilinear and inverse distance weighting (IDW)—are used at the core of the IBM algorithm. This work expands on the previous two-dimensional IBM algorithm of Lundquist et al., which uses bilinear interpolation. Simulations of flow over a three-dimensional hill are performed with WRF’s native terrain-following coordinate and with both IB methods. Comparisons of flow fields fr
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20

Le, Cuong Q., H. Phan-Duc, and Son H. Nguyen. "Immersed boundary method combined with proper generalized decomposition for simulation of a flexible filament in a viscous incompressible flow." Vietnam Journal of Mechanics 39, no. 2 (2017): 109–19. http://dx.doi.org/10.15625/0866-7136/8120.

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In this paper, a combination of the Proper Generalized Decomposition (PGD) with the Immersed Boundary method (IBM) for solving fluid-filament interaction problem is proposed. In this combination, a forcing term constructed by the IBM is introduced to Navier-Stokes equations to handle the influence of the filament on the fluid flow. The PGD is applied to solve the Poission's equation to find the fluid pressure distribution for each time step. The numerical results are compared with those by previous publications to illustrate the robustness and effectiveness of the proposed method.
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21

Das, Saurish, Niels G. Deen, and J. A. M. Kuipers. "Immersed boundary method (IBM) based direct numerical simulation of open-cell solid foams: Hydrodynamics." AIChE Journal 63, no. 3 (2016): 1152–73. http://dx.doi.org/10.1002/aic.15487.

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22

Chen, You, Chang Shu, Yu Sun, Li Ming Yang, and Yan Wang. "A diffuse interface IBM for compressible flows with Neumann boundary condition." International Journal of Modern Physics B 34, no. 14n16 (2020): 2040070. http://dx.doi.org/10.1142/s0217979220400706.

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The recently proposed boundary condition-enforced immersed boundary-gas kinetic flux solver (IB-GKFS) is a new approach for simulation of compressible flows with curved and moving boundaries. In the previous application of IB-GKFS, only the Dirichlet boundary condition is considered, which cannot be applied directly to the Neumann boundary condition. In this paper, an auxiliary layer of Lagrangian points is introduced to tackle Neumann boundary condition. Two test cases, including flow around a circular cylinder and flow around a NACA0012 airfoil, are carried out for validation. The results ob
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Le-Quoc, C., Linh A. Le, V. Ho-Huu, P. D. Huynh, and T. Nguyen-Thoi. "An Immersed Boundary Proper Generalized Decomposition (IB-PGD) for Fluid–Structure Interaction Problems." International Journal of Computational Methods 15, no. 06 (2018): 1850045. http://dx.doi.org/10.1142/s0219876218500457.

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Proper generalized decomposition (PGD), a method looking for solutions in separated forms, was proposed recently for solving highly multidimensional problems. In the PGD, the unknown fields are constructed using separated representations, so that the computational complexity scales linearly with the dimension of the model space instead of exponential scaling as in standard grid-based methods. The PGD was proven to be effective, reliable and robust for some simple benchmark fluid–structure interaction (FSI) problems. However, it is very hard or even impossible for the PGD to find the solution o
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Vanella, Marcos, Kevin McGrattan, Randall McDermott, et al. "A Multi-Fidelity Framework for Wildland Fire Behavior Simulations over Complex Terrain." Atmosphere 12, no. 2 (2021): 273. http://dx.doi.org/10.3390/atmos12020273.

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A method for the large-eddy simulation (LES) of wildfire spread over complex terrain is presented. In this scheme, a cut-cell immersed boundary method (CC-IBM) is used to render the complex terrain, defined by a tessellation, on a rectilinear Cartesian grid. Discretization of scalar transport equations for chemical species is done via a finite volume scheme on cut-cells defined by the intersection of the terrain geometry and the Cartesian cells. Momentum transport and heat transfer close to the immersed terrain are handled using dynamic wall models and a direct forcing immersed boundary method
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Mizuno, Yusuke, Shun Takahashi, Kota Fukuda, and Shigeru Obayashi. "Direct Numerical Simulation of Gas–Particle Flows with Particle–Wall Collisions Using the Immersed Boundary Method." Applied Sciences 8, no. 12 (2018): 2387. http://dx.doi.org/10.3390/app8122387.

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We investigated particulate flows by coupling simulations of the three-dimensional incompressible Navier–Stokes equation with the immersed boundary method (IBM). The results obtained from the two-way coupled simulation were compared with those of the one-way simulation, which is generally applied for clarifying the particle kinematics in industry. In the present flow simulation, the IBM was solved using a ghost–cell approach and the particles and walls were defined by a level set function. Using proposed algorithms, particle–particle and particle–wall collisions were implemented simply; the su
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Wiersema, David J., Katherine A. Lundquist, and Fotini Katopodes Chow. "Mesoscale to Microscale Simulations over Complex Terrain with the Immersed Boundary Method in the Weather Research and Forecasting Model." Monthly Weather Review 148, no. 2 (2020): 577–95. http://dx.doi.org/10.1175/mwr-d-19-0071.1.

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Abstract Improvements to the Weather Research and Forecasting (WRF) Model are made to enable multiscale simulations over highly complex terrain with dynamically downscaled boundary conditions from the mesoscale to the microscale. Over steep terrain, the WRF Model develops numerical errors that are due to grid deformation of the terrain-following coordinates. An alternative coordinate system, the immersed boundary method (IBM), has been implemented into WRF, allowing for simulations over highly complex terrain; however, the new coordinate system precluded nesting within mesoscale simulations us
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Boukharfane, Radouan, Fábio Henrique Eugênio Ribeiro, Zakaria Bouali, and Arnaud Mura. "A combined ghost-point-forcing / direct-forcing immersed boundary method (IBM) for compressible flow simulations." Computers & Fluids 162 (January 2018): 91–112. http://dx.doi.org/10.1016/j.compfluid.2017.11.018.

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Arthur, Robert S., Katherine A. Lundquist, Jeffrey D. Mirocha, and Fotini K. Chow. "Topographic Effects on Radiation in the WRF Model with the Immersed Boundary Method: Implementation, Validation, and Application to Complex Terrain." Monthly Weather Review 146, no. 10 (2018): 3277–92. http://dx.doi.org/10.1175/mwr-d-18-0108.1.

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Abstract Topographic effects on radiation, including both topographic shading and slope effects, are included in the Weather Research and Forecasting (WRF) Model, and here they are made compatible with the immersed boundary method (IBM). IBM is an alternative method for representing complex terrain that reduces numerical errors over sloped terrain, thus extending the range of slopes that can be represented in WRF simulations. The implementation of topographic effects on radiation is validated by comparing land surface fluxes, as well as temperature and velocity fields, between idealized WRF si
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Baghalnezhad, Masoud, Abdolrahman Dadvand, and Iraj Mirzaee. "Simulation of Fluid-Structure and Fluid-Mediated Structure-Structure Interactions in Stokes Regime Using Immersed Boundary Method." Scientific World Journal 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/782534.

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The Stokes flow induced by the motion of an elastic massless filament immersed in a two-dimensional fluid is studied. Initially, the filament is deviated from its equilibrium state and the fluid is at rest. The filament will induce fluid motion while returning to its equilibrium state. Two different test cases are examined. In both cases, the motion of a fixed-end massless filament induces the fluid motion inside a square domain. However, in the second test case, a deformable circular string is placed in the square domain and its interaction with the Stokes flow induced by the filament motion
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Badreddine, Hassan, Yohei Sato, Matthias Berger, and Bojan Ničeno. "A Three-Dimensional, Immersed Boundary, Finite Volume Method for the Simulation of Incompressible Heat Transfer Flows around Complex Geometries." International Journal of Chemical Engineering 2017 (2017): 1–14. http://dx.doi.org/10.1155/2017/1726519.

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The current work focuses on the development and application of a new finite volume immersed boundary method (IBM) to simulate three-dimensional fluid flows and heat transfer around complex geometries. First, the discretization of the governing equations based on the second-order finite volume method on Cartesian, structured, staggered grid is outlined, followed by the description of modifications which have to be applied to the discretized system once a body is immersed into the grid. To validate the new approach, the heat conduction equation with a source term is solved inside a cavity with a
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Wu, Yan Ling. "Application of the hybrid Local Domain Free Discretization and Immersed Boundary Method (LDFD-IBM) to simulate moving boundary flow problems." Ocean Engineering 161 (August 2018): 111–20. http://dx.doi.org/10.1016/j.oceaneng.2018.04.097.

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Li, Bing-Hua, Xian-Wen Huang, Yao Zheng, Fang-Fang Xie, Jing Wang, and Jian-Feng Zou. "Performance of flapping airfoil propulsion with LBM method and DMD analysis." Modern Physics Letters B 32, no. 12n13 (2018): 1840024. http://dx.doi.org/10.1142/s0217984918400249.

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In this work, the performance of flapping airfoil propulsion at low Reynolds number of Re = 100–400 is studied numerically with the lattice Boltzmann method (LBM). Combined with immersed boundary method (IBM), the LBM has been widely used to simulate moving boundary problems. The influences of the reduced frequency on the plunging and pitching airfoil are explored. It is found that the leading-edge vertex separation and inverted wake structures are two main coherent structures, which dominate the flapping airfoil propulsion. However, the two structures play different roles in the flow and the
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LAIZET, S., and J. C. VASSILICOS. "MULTISCALE GENERATION OF TURBULENCE." Journal of Multiscale Modelling 01, no. 01 (2009): 177–96. http://dx.doi.org/10.1142/s1756973709000098.

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This paper presents a brief but general introduction to the physics and engineering of fractals, followed by a brief introduction to fluid turbulence generated by multiscale flow actuation. Numerical computations of such turbulent flows are now beginning to be possible because of the immersed boundary method (IBM) and terascale parallel high performance computing capabilities. The first-ever direct numerical simulation (DNS) results of turbulence generated by fractal grids are detailed and compared with recent wind tunnel measurements.
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Schillaci, Eugenio, Federico Favre, Peter Troch, and Assensi Oliva. "Numerical simulation of fluid structure interaction in free-surface flows: the WEC case." Journal of Physics: Conference Series 2116, no. 1 (2021): 012122. http://dx.doi.org/10.1088/1742-6596/2116/1/012122.

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Abstract In this work we present a numerical framework to carry-out numerical simulations of fluid-structure interaction phenomena in free-surface flows. The framework employs a single-phase method to solve momentum equations and interface advection without solving the gas phase, an immersed boundary method (IBM) to represent the moving solid within the fluid matrix and a fluid structure interaction (FSI) algorithm to couple liquid and solid phases. The method is employed to study the case of a single point wave energy converter (WEC) device, studying its free decay and its response to progres
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Li, Xiaohui, Guodong Liu, Junnan Zhao, Xiaolong Yin, and Huilin Lu. "IBM-LBM-DEM Study of Two-Particle Sedimentation: Drafting-Kissing-Tumbling and Effects of Particle Reynolds Number and Initial Positions of Particles." Energies 15, no. 9 (2022): 3297. http://dx.doi.org/10.3390/en15093297.

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Particle sedimentation is a fundamental process encountered in various industrial applications. In this study, we used immersed boundary lattice Boltzmann method and discrete element method (IBM-LBM-DEM) to investigate two-particle sedimentation. A lattice Boltzmann method was used to simulate fluid flow, a discrete element method was used to simulate particle dynamics, and an immersed boundary method was used to handle particle–fluid interactions. Via the IBM-LBM-DEM, the particles collision process in fluid or between rigid walls can be calculated to capture the information of particles and
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Kanchan, Mithun, and Ranjith Maniyeri. "Numerical simulation of buckling and asymmetric behavior of flexible filament using temporal second-order immersed boundary method." International Journal of Numerical Methods for Heat & Fluid Flow 30, no. 3 (2019): 1047–95. http://dx.doi.org/10.1108/hff-06-2019-0467.

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Purpose The purpose of this paper is to perform two-dimensional numerical simulation involving fluid-structure interaction of flexible filament. The filament is tethered to the bottom of a rectangular channel with oscillating fluid flow inlet conditions at low Reynolds number. The simulations are performed using a temporal second-order finite volume-based immersed boundary method (IBM). Further, to understand the relation between different aspect ratios i.e. ratio of filament length to channel height (Len/H) and fixed channel geometry ratio, i.e. ratio of channel height to channel length (H/Lc
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Sun, Hongyue, Weiye Ding, Xizeng Zhao, and Zhaochen Sun. "Numerical Study of Flat Plate Impact on Water Using a Compressible CIP–IBM–Based Model." Journal of Marine Science and Engineering 10, no. 10 (2022): 1462. http://dx.doi.org/10.3390/jmse10101462.

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Due to the entrapment of compressible air, the process of a flat plate impact on water is complicated, which cannot be reproduced using incompressible simulations. To investigate such a slamming process, an accuracy compressible fluid–structure interaction numerical model has been proposed. The solution of this model is based on the constrained interpolation profile (CIP) method to solve the Navier–Stokes equations for the computation of fluid, and an implicit immersed boundary method (IBM) is used to calculate the fluid–structure interaction. Firstly, the present (CIP–IBM–based) model is vali
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38

Delouei, A. Amiri, M. Nazari, M. H. Kayhani, and S. Succi. "Immersed Boundary – Thermal Lattice Boltzmann Methods for Non-Newtonian Flows Over a Heated Cylinder: A Comparative Study." Communications in Computational Physics 18, no. 2 (2015): 489–515. http://dx.doi.org/10.4208/cicp.060414.220115a.

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AbstractIn this study, we compare different diffuse and sharp interface schemes of direct-forcing immersed boundary — thermal lattice Boltzmann method (IB-TLBM) for non-Newtonian flow over a heated circular cylinder. Both effects of the discrete lattice and the body force on the momentum and energy equations are considered, by applying the split-forcing Lattice Boltzmann equations. A new technique based on predetermined parameters of direct forcing IB-TLBM is presented for computing the Nusselt number. The study covers both steady and unsteady regimes (20<Re<80) in the power-law index ra
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39

Liou, Yu-Chieng, Shao-Fan Chang, and Juanzhen Sun. "An Application of the Immersed Boundary Method for Recovering the Three-Dimensional Wind Fields over Complex Terrain Using Multiple-Doppler Radar Data." Monthly Weather Review 140, no. 5 (2012): 1603–19. http://dx.doi.org/10.1175/mwr-d-11-00151.1.

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This study develops an extension of a variational-based multiple-Doppler radar synthesis method to construct the three-dimensional wind field over complex topography. The immersed boundary method (IBM) is implemented to take into account the influence imposed by a nonflat surface. The IBM has the merit of providing realistic topographic forcing without the need to change the Cartesian grid configuration into a terrain-following coordinate system. Both Dirichlet and Neumann boundary conditions for the wind fields can be incorporated. The wind fields above the terrain are obtained by variational
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40

Stotsky, Jay A., Jason F. Hammond, Leonid Pavlovsky, et al. "Variable viscosity and density biofilm simulations using an immersed boundary method, part II: Experimental validation and the heterogeneous rheology-IBM." Journal of Computational Physics 317 (July 2016): 204–22. http://dx.doi.org/10.1016/j.jcp.2016.04.027.

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41

Li, Dinggen, Haifeng Zhang, Peixin Ye, and Zihao Yu. "Natural convection of power-law nanofluid in a square enclosure with a circular cylinder: An immersed boundary-lattice Boltzmann study." International Journal of Modern Physics C 29, no. 11 (2018): 1850105. http://dx.doi.org/10.1142/s012918311850105x.

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In this paper, natural convection of power-law Al2O3-water nanofluids with temperature-dependent properties in a square enclosure with a circular cylinder is studied. The governing equations of the flow and temperature fields are solved by the lattice Boltzmann method (LBM), and the curved velocity and thermal boundary conditions are treated by immersed boundary method (IBM). The effects of Rayleigh number, power-law index, nanoparticle volume fractions, radius of circular cylinder, nanoparticle diameter and temperature difference on flow and heat transfer characteristics are discussed in deta
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42

Grondeau, Mickael, Sylvain S. Guillou, Jean Charles Poirier, Philippe Mercier, Emmnuel Poizot, and Yann Méar. "Studying the Wake of a Tidal Turbine with an IBM-LBM Approach Using Realistic Inflow Conditions." Energies 15, no. 6 (2022): 2092. http://dx.doi.org/10.3390/en15062092.

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The lattice Boltzmann method is used to model a horizontal axis tidal turbine. Because tidal turbines generally operate in highly turbulent flows, a synthetic eddy method is implemented to generate realistic turbulent inflow condition. The approach makes use of the open-source code Palabos. Large eddy simulation is employed. A coupling between an immersed boundary method and a wall model is realized to model the turbine. Calculations are performed at two different turbulence rates. The upstream flow condition is first set up to match with experimental results. Numerical simulations of a tidal
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43

Kuo, F. A., C. H. Chiang, M. C. Lo, and J. S. Wu. "Development of a Parallel Explicit Finite-Volume Euler Equation Solver using the Immersed Boundary Method with Hybrid MPI-CUDA Paradigm." Journal of Mechanics 36, no. 1 (2019): 87–102. http://dx.doi.org/10.1017/jmech.2019.9.

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ABSTRACTThis study proposed the application of a novel immersed boundary method (IBM) for the treatment of irregular geometries using Cartesian computational grids for high speed compressible gas flows modelled using the unsteady Euler equations. Furthermore, the method is accelerated through the use of multiple Graphics Processing Units – specifically using Nvidia’s CUDA together with MPI - due to the computationally intensive nature associated with the numerical solution to multi-dimensional continuity equations. Due to the high degree of locality required for efficient multiple GPU computat
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Ni, Chen, and Di Jiang. "Three-Dimensional Numerical Simulation of Particle Focusing and Separation in Viscoelastic Fluids." Micromachines 11, no. 10 (2020): 908. http://dx.doi.org/10.3390/mi11100908.

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Particle focusing and separation using viscoelastic microfluidic technology have attracted lots of attention in many applications. In this paper, a three-dimensional lattice Boltzmann method (LBM) coupled with the immersed boundary method (IBM) is employed to study the focusing and separation of particles in viscoelastic fluid. In this method, the viscoelastic fluid is simulated by the LBM with two sets of distribution functions and the fluid–particle interaction is calculated by the IBM. The performance of particle focusing under different microchannel aspect ratios (AR) is explored and the f
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Ahn, Joon, Jeong Chul Song, and Joon Sik Lee. "Fully Coupled Large Eddy Simulation of Conjugate Heat Transfer in a Ribbed Channel with a 0.1 Blockage Ratio." Energies 14, no. 8 (2021): 2096. http://dx.doi.org/10.3390/en14082096.

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Large eddy simulations are performed to analyze the conjugate heat transfer of turbulent flow in a ribbed channel with a heat-conducting solid wall. An immersed boundary method (IBM) is used to determine the effect of heat transfer in the solid region on that in the fluid region in a unitary computational domain. To satisfy the continuity of the heat flux at the solid–fluid interface, effective conductivity is introduced. By applying the IBM, it is possible to fully couple the convection on the fluid side and the conduction inside the solid and use a dynamic subgrid scale model in a Cartesian
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46

Zgheib, N., J. J. Fedele, D. C. J. D. Hoyal, M. M. Perillo, and S. Balachandar. "Bedform dynamics from coupled bed-flow direct numerical simulations." MATEC Web of Conferences 261 (2019): 03001. http://dx.doi.org/10.1051/matecconf/201926103001.

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We present results of time-evolving coupled direct numerical simulations between an erodible bed and an overlying pressure-driven, turbulent flow field. A total of 6 simulations are considered, the details of which are shown in Table 1. The numerical setup consists of a horizontally periodic open channel, and the simulations are run at a shear Reynolds number of Reτ = 180. The coupling between the spatially and temporally evolving sediment bed and the flow field is enforced through the explicit immersed boundary method (IBM) of Uhlmann [1]. The flow field is fully resolved and is obtained by i
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Mountrakis, Lampros, Eric Lorenz, and Alfons G. Hoekstra. "Validation of an efficient two-dimensional model for dense suspensions of red blood cells." International Journal of Modern Physics C 25, no. 12 (2014): 1441005. http://dx.doi.org/10.1142/s0129183114410058.

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Many rheological properties of blood, along with transport properties of blood cells can be captured by means of modeling blood through its main constituents, red blood cells (RBCs) and plasma. In the current work, we present a fully resolved two-dimensional model for blood suspension flow, employing a discrete element model (DEM) for RBCs and coupling it to a lattice Boltzmann method (LBM) fluid solver using the immersed boundary method (IBM). We identify an efficient computationally reduced mesoscopic representation of cells and flow, still able to recover essential physics and physiological
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Tafti, Danesh K., Long He, and K. Nagendra. "Large eddy simulation for predicting turbulent heat transfer in gas turbines." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, no. 2022 (2014): 20130322. http://dx.doi.org/10.1098/rsta.2013.0322.

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Blade cooling technology will play a critical role in the next generation of propulsion and power generation gas turbines. Accurate prediction of blade metal temperature can avoid the use of excessive compressed bypass air and allow higher turbine inlet temperature, increasing fuel efficiency and decreasing emissions. Large eddy simulation (LES) has been established to predict heat transfer coefficients with good accuracy under various non-canonical flows, but is still limited to relatively simple geometries and low Reynolds numbers. It is envisioned that the projected increase in computationa
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Tan, Sisi, and Mingze Xu. "Smoothed Particle Hydrodynamics Simulations of Whole Blood in Three-Dimensional Shear Flow." International Journal of Computational Methods 17, no. 10 (2020): 2050009. http://dx.doi.org/10.1142/s0219876220500097.

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Numerical modeling of whole blood still faces great challenges although significant progress has been achieved in recent decades, because of the large differences of physical and geometric properties among blood components, including red blood cells (RBCs), platelets (PLTs) and white blood cells (WBCs). In this work, we develop a three-dimensional (3D) smoothed particle hydrodynamics (SPH) model to study the whole blood in shear flow. The immersed boundary method (IBM) is used to deal with the interaction between the fluid and cells, which provides a possibility to model the RBCs, PLTs and WBC
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50

Wang, Cheng, Jianxu Ding, Sirui Tan, and Wenhu Han. "High Order Numerical Simulation of Detonation Wave Propagation Through Complex Obstacles with the Inverse Lax-Wendroff Treatment." Communications in Computational Physics 18, no. 5 (2015): 1264–81. http://dx.doi.org/10.4208/cicp.160115.150915a.

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AbstractThe high order inverse Lax-Wendroff (ILW) procedure is extended to boundary treatment involving complex geometries on a Cartesian mesh. Our method ensures that the numerical resolution at the vicinity of the boundary and the inner domain keeps the fifth order accuracy for the system of the reactive Euler equations with the two-step reaction model. Shock wave propagation in a tube with an array of rectangular grooves is first numerically simulated by combining a fifth order weighted essentially non-oscillatory (WENO) scheme and the ILW boundary treatment. Compared with the experimental
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