An unstructured, three-dimensional, shock-fitting solver for hypersonic flows
An unstructured, three-dimensional, shock-fitting solver for hypersonic flows
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DOI：
10.1016/j.compfluid.2012.12.022
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发表时间：
2010-06
影响因子：
2.8
通讯作者：
A. Bonfiglioli;M. Grottadaurea;R. Paciorri;F. Sabetta
中科院分区：
文献类型：
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作者：
A. Bonfiglioli;M. Grottadaurea;R. Paciorri;F. Sabetta
提出了一种新的三维流动非结构激波拟合法。这一新技术能够与任何非结构化顶点中心求解器结合使用。在整个计算区域的背景四面体网格中，使用一个三角化表面来描述拟合的激波阵面，该表面允许在服从Rankine-Hugoniot跳跃关系的情况下移动。在每个时间步，在激波阵面附近应用局部的约束Delaunay四面体剖分，以确保组成激波表面的三角形属于整个四面体网格。拟合波阵面作为非结构激波捕捉解算器的内边界，用于求解光滑区域内的离散控制方程。本算法已经针对三维物体的高速流动进行了测试，即使使用粗粒四面体也能提供高质量的结果。
A novel unstructured shock-fitting algorithm for three-dimensional flows is proposed in this paper. This new technique is able to work coupled with any unstructured vertex centred solver. The fitted shock front is described using a triangulated surface that is allowed to move, while obeying to the Rankine–Hugoniot jump relations, throughout a background tetrahedral mesh which covers the entire computational domain. At each time step, a local, constrained Delaunay tetrahedralization is applied in the neighbourhood of the shock front to ensure that the triangles, which make up the shock surface, belong to the overall tetrahedral grid. The fitted shock front acts as an interior boundary for the unstructured shock-capturing solver, used to solve the discretised governing equations in the smooth regions of the flow-field. The present algorithm has been tested against high speed flows past three-dimensional bodies, providing high quality results even using coarse grain tetrahedralization.