On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas

Kiyoshi Inoue; Takaaki Nishida

doi:10.1007/bf02106189

On the Broadwell model of the Boltzmann equation for a simple discrete velocity gas

Applied Mathematics & Optimization ◽

10.1007/bf02106189 ◽

1976 ◽

Vol 3 (1) ◽

pp. 27-49 ◽

Cited By ~ 25

Author(s):

Kiyoshi Inoue ◽

Takaaki Nishida

Keyword(s):

Boltzmann Equation ◽

Discrete Velocity ◽

The Boltzmann Equation

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Lid-driven cavity flow using a discrete velocity method for solving the Boltzmann equation

10.1063/1.4967549 ◽

2016 ◽

Cited By ~ 1

Author(s):

Aarthi Sekaran ◽

Philip Varghese ◽

Samuel Estes ◽

David Goldstein

Keyword(s):

Boltzmann Equation ◽

Cavity Flow ◽

Driven Cavity ◽

Discrete Velocity ◽

The Boltzmann Equation ◽

Discrete Velocity Method ◽

Driven Cavity Flow

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Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2013078 ◽

2013 ◽

Vol 47 (5) ◽

pp. 1515-1531 ◽

Cited By ~ 12

Author(s):

Clément Mouhot ◽

Lorenzo Pareschi ◽

Thomas Rey

Keyword(s):

Boltzmann Equation ◽

Summation Methods ◽

Discrete Velocity ◽

The Boltzmann Equation ◽

Fast Summation

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Discrete Velocity Models of the Boltzmann Equation: A Survey on the Mathematical ASPECTS of the Theory

SIAM Review ◽

10.1137/1030045 ◽

1988 ◽

Vol 30 (2) ◽

pp. 213-255 ◽

Cited By ~ 140

Author(s):

Tadeusz Platkowski ◽

Reinhard Illner

Keyword(s):

Boltzmann Equation ◽

Discrete Velocity Models ◽

Discrete Velocity ◽

Velocity Models ◽

The Boltzmann Equation

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Geometry and Discrete Velocity Approximations to the Boltzmann Equation

Differential Equations, Proceedings of the Conference held at The University of Alabama in Birmingham - North-Holland Mathematics Studies ◽

10.1016/s0304-0208(08)73733-2 ◽

1984 ◽

pp. 477-483

Author(s):

Michael C. Reed

Keyword(s):

Boltzmann Equation ◽

Discrete Velocity ◽

The Boltzmann Equation

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Lattice points on circles and discrete velocity models for the Boltzmann equation

SIAM Journal on Mathematical Analysis ◽

10.1137/040618916 ◽

2006 ◽

Vol 37 (6) ◽

pp. 1903-1922 ◽

Cited By ~ 18

Author(s):

Laura Fainsilber ◽

Pär Kurlberg ◽

Bernt Wennberg

Keyword(s):

Boltzmann Equation ◽

Lattice Points ◽

Discrete Velocity Models ◽

Discrete Velocity ◽

Velocity Models ◽

The Boltzmann Equation

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Discrete velocity scheme for solving the Boltzmann equation with the GPGPU

10.1063/1.4769532 ◽

2012 ◽

Cited By ~ 2

Author(s):

E. A. Malkov ◽

S. O. Poleshkin ◽

M. S. Ivanov

Keyword(s):

Boltzmann Equation ◽

Discrete Velocity ◽

The Boltzmann Equation

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A random discrete velocity model and approximation of the Boltzmann equation

Journal of Statistical Physics ◽

10.1007/bf01053594 ◽

1993 ◽

Vol 70 (3-4) ◽

pp. 773-792 ◽

Cited By ~ 13

Author(s):

Reinhard Illner ◽

Wolfgang Wagner

Keyword(s):

Boltzmann Equation ◽

Velocity Model ◽

Discrete Velocity ◽

The Boltzmann Equation ◽

Discrete Velocity Model

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Convergence of Discrete-Velocity Schemes for the Boltzmann Equation

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050050060 ◽

1997 ◽

Vol 140 (1) ◽

pp. 53-77 ◽

Cited By ~ 10

Author(s):

Stéphane Mischler

Keyword(s):

Boltzmann Equation ◽

Discrete Velocity ◽

The Boltzmann Equation

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An efficient discrete-velocity method for the Boltzmann equation

Computer Physics Communications ◽

10.1016/s0010-4655(06)70120-5 ◽

1999 ◽

Vol 121-122 ◽

pp. 717

Author(s):

T. Płatkowski ◽

W. Waluś

Keyword(s):

Boltzmann Equation ◽

Discrete Velocity ◽

The Boltzmann Equation ◽

Discrete Velocity Method

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A discrete velocity direction model for the Boltzmann equation and applications to micro gas flows

Journal of Computational Physics ◽

10.1016/j.jcp.2008.01.030 ◽

2008 ◽

Vol 227 (10) ◽

pp. 5256-5271 ◽

Cited By ~ 4

Author(s):

Zhenyu Zhang ◽

Jianzhong Xu ◽

Zhiguo Qi ◽

Guang Xi

Keyword(s):

Boltzmann Equation ◽

Gas Flows ◽

Discrete Velocity ◽

The Boltzmann Equation ◽

Direction Model

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