KINETIC FLUX VECTOR SPLITTING METHOD BASED ON MAXWELL-BOLTZMANN DISTRIBUTION FUNCTION

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2002, Vol. 19 ›› Issue (1): 17-22.

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KINETIC FLUX VECTOR SPLITTING METHOD BASED ON MAXWELL-BOLTZMANN DISTRIBUTION FUNCTION

SHI Wei-ping¹, GENG Ai-fang², HUANG Ming-you¹, HU Shou-xin¹

1. Department of Mathematics, Jilin University, Changchun 130023, P R China;
2 Changchun Institute of Optics and Fine Mechanics, Changchun 130022, P R China

Received:2000-02-29 Revised:2000-11-06 Online:2002-01-25 Published:2002-01-25

Abstract

Abstract: The kinetic flux vector splitting method is combined with the two-time-step algorithm to simulate the inviscid ideal gas flow. The flux vectors of the equation are split on the basis of the local equilibrium Maxwell-Boltzmann distribution. Three 1-D standard test cases including shock waves, contact discontinuities and rarefaction waves are presented and compared with the exact solution.

Key words: Euler equations, Maxwell distribution function, flux vector splitting method

CLC Number:

SHI Wei-ping, GENG Ai-fang, HUANG Ming-you, HU Shou-xin. KINETIC FLUX VECTOR SPLITTING METHOD BASED ON MAXWELL-BOLTZMANN DISTRIBUTION FUNCTION[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2002, 19(1): 17-22.

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KINETIC FLUX VECTOR SPLITTING METHOD BASED ON MAXWELL-BOLTZMANN DISTRIBUTION FUNCTION

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