Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I: One Dimensional Euler Equations
Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I: One Dimensional Euler Equations
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DOI：
10.4208/cicp.140313.111013s
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发表时间：
2014-04
影响因子：
3.7
通讯作者：
Jin Qi;Yue Wang;Jiequan Li
中科院分区：
文献类型：
--
作者：
Jin Qi;Yue Wang;Jiequan Li
本文发展了一种求解一维可压缩流动的无重映射自适应GRP方法。基于有限体积法的框架，一维欧拉方程离散在移动体上，产生的数值通量直接计算的GRP方法。因此，省略了早期自适应GRP算法[17，18]中的重映射过程。该方法采用柔性移动网格策略，可适用于多流体问题。将两种流体的界面保持在计算网格的节点上，并相应地将GRP求解器扩展到多流体流动的材料界面上。一些典型的数值试验表明，新方法的竞争力的性能，特别是对接触不连续性的单流体的情况下和多流体的情况下的材料界面跟踪。AMS科目分类：76M12、76N15、76T99
In this paper, a remapping-free adaptive GRP method for one dimensional (1-D) compressible flows is developed. Based on the framework of finite volume method, the 1-D Euler equations are discretized on moving volumes and the resulting numerical fluxes are computed directly by the GRP method. Thus the remapping process in the earlier adaptive GRP algorithm [17,18] is omitted. By adopting a flexible moving mesh strategy, this method could be applied for multi-fluid problems. The interface of two fluids will be kept at the node of computational grids and the GRP solver is extended at the material interfaces of multi-fluid flows accordingly. Some typical numerical tests show competitive performances of the new method, especially for contact discontinuities of one fluid cases and the material interface tracking of multi-fluid cases. AMS subject classifications: 76M12, 76N15, 76T99