多介质流体计算的Lax-Friedrichs格式

针对当前多介质流体计算中出现的速度和压强在介质界面处产生伪振荡的问题，我们设计了一种基于非平衡态的Lax-Friedrichs格式．我们构造的算法保证了多个守恒性质：总质量和分质量守恒，总动量和总能量守恒，它还可以保证分质量非负．更重要的是它消除了速度和压强在介质界面处的伪振荡．数值例子表明这一算法是有效的．

Lax-Friedrichs Scheme Based on Nonequilibrium for Multifluid Flows

To solve the problem that velovity and pressure produce spurious oscillations near material interfaces in numerical simulations of multifluid flows,we develop a Lax-Friedrichs scheme based on nonequilibrium for numerical simulations of multifluid flows.The scheme is fully conservative in the sense that it conserves the total as well as individual masses,momentum and total energy,it maintains the positivity of the total and individual densities,and,more important,it maintains the uniformness of the velocity ...