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A linear stability analysis of compressible hybrid lattice Boltzmann methods [article]

Florian Renard, Gauthier Wissocq, Jean-François Boussuge, Pierre Sagaut
2020 arXiv   pre-print
An original spectral study of the compressible hybrid lattice Boltzmann method (HLBM) on standard lattice is proposed.  ...  In this framework, the mass and momentum equations are addressed using the lattice Boltzmann method (LBM), while finite difference (FD) schemes solve an energy equation.  ...  Conclusion In this paper, an original von Neumann analysis of the hybrid lattice Boltzmann method under ideal gas thermodynamic closure has been conducted.  ... 
arXiv:2006.08477v1 fatcat:wnrmq25gg5edbbtnmv4mfgqiei

Page 2489 of Mathematical Reviews Vol. , Issue 2004c [page]

2004 Mathematical Reviews  
, VA); Rubinstein, Robert (1-NASA8-CMD; Hampton, VA) Theory of the lattice Boltzmann method: three-dimensional model for linear viscoelastic fluids.  ...  The macroscopic equations are also derived from the lattice Boltzmann model through the dis- persion equation analysis and the Chapman-Enskog analysis.  ... 

Hybrid recursive regularized thermal lattice Boltzmann model for high subsonic compressible flows

Y. Feng, P. Boivin, J. Jacob, P. Sagaut
2019 Journal of Computational Physics  
A thermal lattice Boltzmann model with a hybrid recursive regularization (HRR) collision operator is developed on standard lattices for simulation of subsonic and sonic compressible flows without shock  ...  The approach is hybrid: mass and momentum conservation equations are solved using a lattice Boltzmann solver, while the energy conservation is solved under entropy form with a finite volume solver.  ...  Hybrid recursive regularized collision model Regularization procedures were proposed as to improve the numerical stability of BGK collision models for lattice Boltzmann methods [10, 25, 33] .  ... 
doi:10.1016/ fatcat:4rhkdsw4rrctjgbo2zwjv5upfq

Theory of the lattice Boltzmann method: Acoustic and thermal properties in two and three dimensions

Pierre Lallemand, Li-Shi Luo
2003 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
The focus of the present work is to provide an analysis for the acoustic and thermal properties of the energy-conserving lattice Boltzmann models, and a solution to the numerical defects and instability  ...  We find that the numerical stability of the lattice Boltzmann scheme improves drastically once the spurious mode coupling is removed.  ...  Specifically, Appendix G and significant part of Appendix A are the results based on Professor Vahala's con-structive suggestions. L.S.L. would also like to thank Dr. Z. L. Guo and Dr. R.  ... 
doi:10.1103/physreve.68.036706 pmid:14524925 fatcat:tkq4n2wmn5anxfaknxg3jbgvsm

An efficient lattice Boltzmann method for compressible aerodynamics on D3Q19 lattice

S. Guo, Y. Feng, J. Jacob, F. Renard, P. Sagaut
2020 Journal of Computational Physics  
An efficient lattice Boltzmann (LB) model relying on a hybrid recursive regularization (HRR) collision operator on D3Q19 stencil is proposed for the simulation of three-dimensional high-speed compressible  ...  Then a non-conservative formulation of the entropy evolution equation is used, that is solved using a finite volume method.  ...  Acknowledgements This work was granted access to the HPC resources of Aix-Marseille Université financed by the project Equip@Meso (ANR-10-EQPX-29-01) of the program "Investissements d'Avenir" supervised  ... 
doi:10.1016/ fatcat:vnjrutuh3jh3pm3cdb3r2tp2bi

Advection–Diffusion Lattice Boltzmann Method With and Without Dynamical Filter

Zhihong Zhang, Zhiqiang Li, Yunke Wu
2022 Frontiers in Physics  
In order to improve the stability of advection–diffusion lattice Boltzmann method to simulate scalar transport in complex flow, a hybrid regularized collision operators and a dynamic filtering method which  ...  In addition, the adaptive filtering method can also improve the numerical stability of the lattice Boltzmann method with limited numerical dissipation.  ...  The funder was not involved in the study design, collection, analysis, interpretation of data, the writing of this article or the decision to submit it for publication.  ... 
doi:10.3389/fphy.2022.875628 fatcat:huagvwk3orffjhjqrkbedlmtiy

Digital Blood in Massively Parallel CPU/GPU Systems for the Study of Platelet Transport: Supplementary Material

Christos Kotsalos, Jonas Latt, Joel Beny, Bastien Chopard
Supplementary Material for the manuscript entitled "Digital Blood in Massively Parallel CPU/GPU Systems for the Study of Platelet Transport"  ...  Lattice Boltzmann Methods (LBM) The lattice Boltzmann method (LBM) is employed to solve indirectly the Navier-Stokes equations.  ...  Therefore for numerical accuracy and stability, it is required that Ma 1. For a complete overview of the lattice Boltzmann method, the reader should consult the work done by Krüger et al.  ... 
doi:10.6084/m9.figshare.13213333.v1 fatcat:ajdu6lzouve55oyby7rjalsrvu

From Lattice Boltzmann Method to Lattice Boltzmann Flux Solver

Yan Wang, Liming Yang, Chang Shu
2015 Entropy  
Based on the lattice Boltzmann method (LBM), the lattice Boltzmann flux solver (LBFS), which combines the advantages of conventional Navier-Stokes solvers and lattice Boltzmann solvers, was proposed recently  ...  Particularly, there is a lack of a systematic investigation on its accuracy, efficiency, stability and capability in simulating isothermal flows, thermal flows at high Reynolds/Rayleigh numbers, and compressible  ...  Conflicts of Interest The authors declare no conflict of interest.  ... 
doi:10.3390/e17117713 fatcat:nyxv3tozijezdb7lre4iccdrc4

A hybrid lattice Boltzmann flux solver for integrated hypersonic fluid-thermal-structural analysis

Jiawei Li, Jiangfeng Wang, Liming Yang, Chang Shu
2020 Chinese Journal of Aeronautics  
In this paper, a hybrid Lattice Boltzmann Flux Solver (LBFS) with an improved switch function is proposed for simulation of integrated hypersonic fluid-thermal-structural problems.  ...  The accuracy and stability of the present hybrid solver are validated by simulating several numerical examples, including the fluid-thermal-structural problem of cylindrical leading edge.  ...  Acknowledgments This study was co-supported by the Postgraduate Research & Practice Innovation Program of Jiangsu Province of China (No.  ... 
doi:10.1016/j.cja.2020.04.020 fatcat:4w2utkmpofgwvf2dhqozxx7qxa

Galilean invariant lattice Boltzmann scheme for natural convection on square and rectangular lattices

R. G. M. van der Sman
2006 Physical Review E  
Via inverse Chapman-Enskog analysis of LB schemes including source terms, we show that for consistency with physics it is required that the moments of the equilibrium distributions equal those of the Maxwell-Boltzmann  ...  The analysis of source terms shows that fluxes are really defined on the boundaries of the Wigner-Seitz cells, and not on the lattice sites where the densities are defined-which is quite similar to the  ...  The analysis of the scheme has been performed with perturbation analysis of the linearized dispersion equation, which is rarely used to analyze lattice Boltzmann schemes.  ... 
doi:10.1103/physreve.74.026705 pmid:17025565 fatcat:64rmznonvvb5tg4pcs7n6z6gna

Prandtl number effects in MRT Lattice Boltzmann models for shocked and unshocked compressible fluids [article]

Feng Chen, Aiguo Xu, Guangcai Zhang, Yingjun Li
2011 arXiv   pre-print
A 375 (2011) 2129.]. In this paper, we construct a new MRT Lattice Boltzmann model which is not only for the shocked compressible fluids, but also for the unshocked compressible fluids.  ...  For compressible fluids under shock wave reaction, we have proposed two Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) models [F. Chen, et al, EPL 90 (2010) 54003; Phys. Lett.  ...  Acknowledgements This work is supported by the Science Foundations of LCP and CAEP [under Grant Nos.  ... 
arXiv:1106.0785v1 fatcat:vpaog7u6kjabrlmd4biubevfwu

Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis [article]

Thomas Bellotti
2022 arXiv   pre-print
Lattice-Boltzmann methods are known for their simplicity, efficiency and ease of parallelization, usually relying on uniform Cartesian meshes with a strong bond between spatial and temporal discretization  ...  We carefully test our method to conclude on its adaptability to a wide family of existing lattice Boltzmann schemes, treating both hyperbolic and parabolic systems of equations, thus being less problem-dependent  ...  Thomas Bellotti is supported by a PhD funding (year 2019) from the Ecole polytechnique.  ... 
arXiv:2103.02903v2 fatcat:vvziulwo2jcsxaqz7rz74yt5mm

Improved compressible Hybrid Lattice Boltzmann Method on standard lattice for subsonic and supersonic flows [article]

Florian Renard and Yongliang Feng and Jean-François Boussuge and Pierre Sagaut
2020 arXiv   pre-print
A D2Q9 Hybrid Lattice Boltzmann Method (HLBM) is proposed for the simulation of both compressible subsonic and supersonic flows.  ...  The result is a hybrid method that resolves the mass and momentum equations with an LBM algorithm, and resolves the entropy-based energy equation with a finite volume method.  ...  A third method to recover the full compressible Navier-Stokes-Fourier equations is the Hybrid LBM method (HBLM).  ... 
arXiv:2002.03644v3 fatcat:i3lazrncwfbq7kfs5vyym7ddee

Extended Lattice Boltzmann Model for Gas Dynamics [article]

M. H. Saadat, S. A. Hosseini, B. Dorschner, I.V. Karlin
2021 arXiv   pre-print
We propose a two-population lattice Boltzmann model on standard lattices for the simulation of compressible flows.  ...  The accuracy and performance of the model are analyzed through simulations of compressible benchmark cases including Sod shock tube, sound generation in shock-vortex interaction and compressible decaying  ...  CONCLUSION In this work, we proposed a lattice Boltzmann framework for the simulation of compressible flows on standard lattices.  ... 
arXiv:2102.09512v1 fatcat:65gnpbjol5c3doq6cz4xvx32xy


2011 Procedia Computer Science  
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 984 Optimization of Multi-Phase Compressible Lattice Boltzmann Codes on Massively Parallel Multi-Core Systems Luca Biferale  ...  ligand VCAM-1: a lattice Boltzmann analysis Weiwei Yan, Yang Liu and Bingmei Fu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  ... 
doi:10.1016/s1877-0509(11)00325-5 fatcat:dn2lthsrqrgdvmvgwsh7ef3oh4
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