On the Stability of the Finite Difference based Lattice Boltzmann Method

Procedia Computer Science ◽

10.1016/j.procs.2013.05.380 ◽

2013 ◽

Vol 18 ◽

pp. 2101-2108 ◽

Author(s):

M.F. El-Amin ◽

S. Sun ◽

A. Salama

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

The Stability ◽

Boltzmann Method

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Equivalent finite difference and partial differential equations for the lattice Boltzmann method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.03.014 ◽

2021 ◽

Vol 90 ◽

pp. 96-103

Author(s):

Radek Fučík ◽

Robert Straka

Keyword(s):

Partial Differential Equations ◽

Finite Difference ◽

Differential Equations ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Partial Differential ◽

Boltzmann Method

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Immersed boundary-finite difference lattice Boltzmann method using the feedback forcing scheme to simulate the incompressible flows

International Journal of Precision Engineering and Manufacturing ◽

10.1007/s12541-016-0127-4 ◽

2016 ◽

Vol 17 (8) ◽

pp. 1049-1057 ◽

Author(s):

Lae-Sung Kim ◽

Hui-Ju Yang ◽

Man-Yeoung Ha ◽

Zhe-Zhu Xu ◽

Hong Xiao ◽

...

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Incompressible Flows ◽

Immersed Boundary ◽

Boltzmann Method

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A Hybrid Lattice Boltzmann Method-Finite Difference Method Model for Sediment Transport and Riverbed Deformation

River Research and Applications ◽

10.1002/rra.2735 ◽

2014 ◽

Vol 31 (4) ◽

pp. 447-456 ◽

Author(s):

H. Liu ◽

Y. Ding ◽

M. Li ◽

P. Lin ◽

M. H. Yu ◽

...

Keyword(s):

Sediment Transport ◽

Finite Difference ◽

Finite Difference Method ◽

Lattice Boltzmann Method ◽

Difference Method ◽

Lattice Boltzmann ◽

Boltzmann Method ◽

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An Accurate Multi-level Finite Difference Scheme for 1D Diffusion Equations Derived from the Lattice Boltzmann Method

Journal of Statistical Physics ◽

10.1007/s10955-010-0004-y ◽

2010 ◽

Vol 140 (3) ◽

pp. 494-503 ◽

Author(s):

Shinsuke Suga

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Finite Difference Scheme ◽

Diffusion Equations ◽

Multi Level ◽

Boltzmann Method

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High-order weighted essentially nonoscillatory finite-difference formulation of the lattice Boltzmann method in generalized curvilinear coordinates

Physical Review E ◽

10.1103/physreve.95.023314 ◽

2017 ◽

Vol 95 (2) ◽

Author(s):

Kazem Hejranfar ◽

Mohammad Hossein Saadat ◽

Sina Taheri

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Curvilinear Coordinates ◽

Weighted Essentially Nonoscillatory ◽

Finite Difference Formulation ◽

Boltzmann Method ◽

Essentially Nonoscillatory

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Numerical investigation of heat transfer in a power-law non-Newtonian fluid in a C-Shaped cavity with magnetic field effect using finite difference lattice Boltzmann method

Computers & Fluids ◽

10.1016/j.compfluid.2018.09.012 ◽

2018 ◽

Vol 176 ◽

pp. 51-67 ◽

Author(s):

Saeed Aghakhani ◽

Ahmad Hajatzadeh Pordanjani ◽

Arash Karimipour ◽

Ali Abdollahi ◽

Masoud Afrand

Keyword(s):

Magnetic Field ◽

Heat Transfer ◽

Finite Difference ◽

Lattice Boltzmann Method ◽

Numerical Investigation ◽

Power Law ◽

Lattice Boltzmann ◽

Field Effect ◽

Magnetic Field Effect ◽

Boltzmann Method

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Immersed Boundary-Finite Difference Lattice Boltzmann Method for Liquid-Solid Two-Phase Flows

Journal of Fluid Science and Technology ◽

10.1299/jfst.6.1051 ◽

2011 ◽

Vol 6 (6) ◽

pp. 1051-1064 ◽

Author(s):

Roberto ROJAS ◽

Takeshi SETA ◽

Kosuke HAYASHI ◽

Akio TOMIYAMA

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Immersed Boundary ◽

Two Phase Flows ◽

Two Phase ◽

Boltzmann Method

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Simulation of Transonic Flows Past a Body by Finite Difference Lattice Boltzmann Method Using ALE Formulation

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series B ◽

10.1299/kikaib.73.989 ◽

2007 ◽

Vol 73 (728) ◽

pp. 989-995

Author(s):

Akinori TAMURA ◽

Michihisa TSUTAHARA

Keyword(s):

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Transonic Flows ◽

Ale Formulation ◽

Boltzmann Method

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Numerical simulation of shock wave propagation using the finite difference lattice Boltzmann method

KSME International Journal ◽

10.1007/bf02983840 ◽

2002 ◽

Vol 16 (10) ◽

pp. 1327-1335 ◽

Author(s):

Ho-Keun Kang ◽

Michihisa Tsutahara ◽

Ki-Deok Ro ◽

Young-Ho Lee

Keyword(s):

Numerical Simulation ◽

Wave Propagation ◽

Finite Difference ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Shock Wave Propagation ◽

Boltzmann Method

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Simulating compressible flows with shock waves using the finite-difference Lattice Boltzmann Method

Progress in Computational Fluid Dynamics An International Journal ◽

10.1504/pcfd.2009.024816 ◽

2009 ◽

Vol 9 (3/4/5) ◽

pp. 167 ◽

Author(s):

Ya Ling He ◽

Yong Wang ◽

Qing Li ◽

Wen Quan Tao

Keyword(s):

Finite Difference ◽

Shock Waves ◽

Lattice Boltzmann Method ◽

Lattice Boltzmann ◽

Compressible Flows ◽

Boltzmann Method

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