A front-tracking method for fluid interfaces in high-speed compressible flows

提出了一种可压缩多流体流动的前沿跟踪方法，利用标记点来跟踪流体界面并在界面上构造黎曼问题。用精确黎曼解算器求解了两相（在界面法线方向上）之间的黎曼问题。解被投影到固定的网格点上，然后外推到相应的鬼影流体区域，就像鬼影流体方法一样。建议的程序在任何方面都是一致的，并且易于实施。为了证明新方法的能力，计算了几个多流体问题，包括激波通过引起的水缸破裂。

A front tracking method for compressible multi-fluid flows is presented where marker points are used both for tracking fluid interfaces and also for constructing the Riemann problem on the interfaces. The Riemann problem between two fluid phases (defined in the interface normal direction) is solved using the exact Riemann solver on the maker points. The solutions are projected onto fixed grid points and then extrapolated into the corresponding ghost fluid regions, as in the ghost fluid method. The proposed procedures are designed to be consistent in any dimensions and to be simple to implement. Several multi-fluid problems, including the breakup of a water cylinder induced by the passage of a shock wave, were computed in order to demonstrate the capability of the new method.