A front-tracking method with projected interface conditions for compressible multi-fluid flows
A front-tracking method with projected interface conditions for compressible multi-fluid flows
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DOI：
10.1016/j.compfluid.2010.06.012
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发表时间：
2010-12
影响因子：
2.8
通讯作者：
H. Terashima;G. Tryggvason
中科院分区：
文献类型：
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作者：
H. Terashima;G. Tryggvason
提出了一种可压缩多流体流动的波前跟踪方法，其中标记点既用于跟踪流体界面，又用于构造界面上的黎曼问题。两个流体相之间的黎曼问题（在界面法线方向上定义）使用标记点上的精确黎曼解算器来求解。将解投影到固定网格点上，然后外推到相应的虚流体区域，用作边界条件。每个流体相是单独解决的虚流体方法。所提出的程序，特别是精确的黎曼解的投影到流体网格上，被设计成简单和一致的任何空间维度。几个多流体问题，包括破碎的水圆柱引起的冲击波的通道进行了计算，以证明所提出的方法的能力。
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 the two fluid phases (defined in the interface normal direction) is solved using the exact Riemann solver on the marker points. The solutions are projected onto fixed grid points and then extrapolated into the corresponding ghost-fluid regions, to be used as boundary conditions. Each fluid phase is solved separately as in the ghost-fluid method. The proposed procedures, especially the projection of the exact Riemann solutions onto the fluid grids, are designed to be simple and consistent in any spatial dimensions. 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 proposed method.