FIVER: A finite volume method based on exact two-phase Riemann problems and sparse grids for multi-material flows with large density jumps
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- 作者：Charbel Farhat ; Jean-Fr¨¦d¨¦ric Gerbeau ; Arthur Rallu
- 关键词：Arbitrary equation of state ; Compressible flow ; Finite volume method ; Large density jump ; Multi-material ; Multi-phase ; Two-phase Riemann solver ; Sparse grids
- 刊名：Journal of Computational Physics
- 出版年：2012
- 出版时间：1 August, 2012
- 年：2012
- 卷：231
- 期：19
- 页码：6360-6379
- 全文大小：862 K
文摘
A robust finite volume method for the solution of high-speed compressible flows in multi-material domains involving arbitrary equations of state and large density jumps is presented. The global domain of interest can include a moving or deformable subdomain that furthermore may undergo topological changes due to, for example, crack propagation. The key components of the proposed method include: (a) the definition of a discrete surrogate material interface, (b) the computation of a reliable approximation of the fluid state vector on each side of a discrete material interface via the construction and solution of a local, exact, two-phase Riemann problem, (c) the algebraic solution of this auxiliary problem when the equation of state allows it, and (d) the solution of this two-phase Riemann problem using sparse grid tabulations otherwise. The proposed computational method is illustrated with the three-dimensional simulation of the dynamics of an underwater explosion bubble.