本文针对一维问题的FrontTracking方法,提出了一种较易实现的守恒型界面追踪方法.利用双波近似求解Riemann问题来确定界面处的数值通量,在固定的网格上采用统一的有限体积格式进行内点和交界面点的计算,通过守恒插值以及守恒量的重新分配,保证数值解在全场实现一致守恒.将该方法应用于一维多介质可压缩流动的模拟,给出了满意的数值模拟结果.
In this paper, a conservative Front Tracking method is described in one dimension. The numerical flux at interface is based on Riemann problem using two-shock approximation. Finite volume method is used at fixed grid. The fully conservative method is based upon a simple idea:starting from a conservative interpolation ,then redistributing conservative variable. The numerical results are in good agreement for one-dimensional compressible multi-fluid flow.