多介质流体非守恒律欧拉方程组的数值计算方法

对多介质流体在界面处满足的Euler方程进行了探讨 ,方程组中增加了描述材料参数间断性质的对流形式非守恒律方程组。以波传播算法为基础 ,通过Roe方程近似求解Riemann问题 ,同时采用相同的数值差分格式求解流体动力学Euler方程组和界面方程组。该方法可以有效消除多介质流体在界面处压力、速度可能出现的非物理振荡。给出了部分典型一维和二维数值计算结果。

Numerical Methods of Multicomponent Flows of Non-conservative Euler Equations

Numerical methods to study contact discontinuity of multicomponent flow is discussed in this paper.A series of advection non conservative equations describing the material qualities are incorporated in the conservative Euler equations.Based on the high resolution wave propagation algorithm,a kind of uniform Roe schemes are presented to solve the non conservative Euler equations,which can eliminate nonphysical oscillations near the contact discontinuity.Some typical one and two dimension examples are presented.