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A multi-resolution method for two-phase fluids with complex equations of state by binomial solvers in three space dimensions
- Source :
- Applied Numerical Mathematics. 167:92-107
- Publication Year :
- 2021
- Publisher :
- Elsevier BV, 2021.
-
Abstract
- In this paper, we propose approximate solvers for two-phase fluids with general equations of state (EOS) in high dimension. The standard finite volume scheme is used for each fluid away from material interface. The two-phase interfaces are captured by the level set method coupled with a multi-resolution algorithm. For the Riemann solver of two-phase fluids with general equations of state, we construct an iterative approximation method by the solver for binomial equations of state. The velocity of the interface and the interface exchange fluxes are obtained precisely. With the help of the adaptive multi-resolution algorithms, we extend the method to three space dimensions conveniently. Numerical examples are carried out to demonstrate the strength and robustness of this method.
- Subjects :
- Numerical Analysis
Level set method
Finite volume method
Complex differential equation
Interface (Java)
Applied Mathematics
010103 numerical & computational mathematics
Solver
Space (mathematics)
01 natural sciences
Riemann solver
010101 applied mathematics
Computational Mathematics
symbols.namesake
Dimension (vector space)
symbols
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 01689274
- Volume :
- 167
- Database :
- OpenAIRE
- Journal :
- Applied Numerical Mathematics
- Accession number :
- edsair.doi...........eec63ccf004d0912d80b148cb5815440