CAJ | 학술논문

万方数据

计算数学 계산수학
MATHEMATICA NUMERICA SINICA
1999年 3期 375 ,共1页

汤华中%邬华谟湯華中%鄔華謨

탕화중%오화모

KFVS 有限体积方法%Euler 方程%Boltzmann 方程 KFVS 有限體積方法%Euler 方程%Boltzmann 方程
KFVS 유한체적방법%Euler 방정%Boltzmann 방정
KFVS finite volume methods%Euler equations%Boltzmann equations

This paper presents a class of high resolution KFVS (kinetic flux vector splitting) finite volume methodsfor solving three-dimensional compressibleEuler equations with γ-gas law.The schemes are obtained based on the important connectionbetween the Boltzmann equation and the Euler equations.According to the sign of the normal molecular velocitycomponent at the surface of any control volumes,one gives a splitting of the macroscopic flux vector, I.e.writes the macroscopic flux vector into the sum form ofa positive flux and a negative flux.The initial reconstruction is applied to improveresolution of the schemes. Several numerical resultsare also presented to show the performance of our schemes.