论文部分内容阅读
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。
The Euler equation satisfied at the interface of multi-medium fluid is discussed. In the system of equations, the system of convection-type non-conservation laws describing the discontinuity of material parameters is added. Based on the wave propagation algorithm, the Roe equation is used to approximate the Riemann problem, and the same numerical difference scheme is used to solve the Euler equations and the interface equations of hydrodynamics. The proposed method can effectively eliminate the non-physical oscillations of multi-media fluid at the interface pressure and velocity. Some typical one-dimensional and two-dimensional numerical results are given.