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Simulation of the rlw equation using a lattice boltzmann model
Yan Guangwu
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1999, 16 (
4
): 395-400.
Abstract
（
202
）
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（224KB）（
705
）
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A 5-Bit lattice lattice Boltzmann model is pr oposed for RLW equation.Using Chapman Enskog expansion and multiscale technique,it obt a ins the higher order moments of equilibrium distribution function,the 3rd dispers ion coefficients and 4th order viscosity.The parameters in this scheme can be de termined by analysis of the stability.
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AN EULER SOLVER BASED ON LATTICE BOLTZMANN GODUNOV METHOD WITH BI-DISTRIBUTION FUNCTIONS
Yan Guangwu, Hu Shouxin, Shi Weiping
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1998, 15 (
2
): 193-198.
Abstract
（
266
）
PDF
（219KB）（
677
）
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A new lattice Boltzmann method is proposed for constructing a 1-D scheme by using bi distribution functions and Godunov scheme of decomposition. The Ideal Case(IC) problem has been hence removed.
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AN IMPROVED LATTICE BOLTZMANN METHOD FOR THE SHALLOW WATER LONG WAVE EQUATION
Shi Weiping, Hu Shouxin, Yan Guangwu
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1997, 14 (
S1
): 663-665.
Abstract
（
253
）
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（131KB）（
647
）
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Based on the equivalence between the aerdynamical Euler equation and the shallow water long wave equation, the equilibrum distribution function of the orginal LBM is improved, and hence the macrodynamical equation of shallow water long waves is derived. The resoults of one dimentional numerical test are compaired with those obtained by discrete velocity model.
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A LATTICE BOLTZMANN MODEL WITH 2 SPEED 3 ENTROPY LEVEL FOR EULER EQUATIONS
Yan Guangwu, Hu Shouxin, Shi Weiping
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1997, 14 (
S1
): 584-586.
Abstract
（
212
）
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（131KB）（
766
）
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A new lattice Boltzmann model is proposed for treating Euler equations. The numerical example shows that it can be used to simulate shock wave and contact discontinuity. The results are comparable with those obtained by traditional methods.
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A DIFFERENCE TYPE LATTICE GAS SCHEMES FOR CONSERVATION EQUATIONS
Yan Guangwu, Hu Shouxin, Shi Weiping
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1997, 14 (
2
): 190-194.
Abstract
（
232
）
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（189KB）（
805
）
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A Lattice Gas Method has been used for conservation equation in a model equation by defined general distribution function. The model became a bridge between Lattice Gas Method and Finite Difference Method. It is shown that the method is effective by simulating model equation with MacCormark and Warming Beam schemes.
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DETERMINING PERMEABILITIES OF POROUS MEDIA BY LATTICE BOLTZMANN METHOD
Yan Guangwu, Hu Shouxin, Shi Weiping
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1997, 14 (
1
): 63-67.
Abstract
（
260
）
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（219KB）（
941
）
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The 7-Bit model of Lattice Boltzmann Method is used for simulation the porous media. Darcy law are found and the relationships of void ratio coefficient of viscosity and density with permeabilities are obtained as well.
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