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Maximum-principle-satisfying space-time conservation element and solution element scheme applied to compressible multifluids
- Source :
- Journal of Computational Physics. 330:668-692
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- A maximum-principle-satisfying space-time conservation element and solution element (CE/SE) scheme is constructed to solve a reduced five-equation model coupled with the stiffened equation of state for compressible multifluids. We first derive a sufficient condition for CE/SE schemes to satisfy maximum-principle when solving a general conservation law. And then we introduce a slope limiter to ensure the sufficient condition which is applicative for both central and upwind CE/SE schemes. Finally, we implement the upwind maximum-principle-satisfying CE/SE scheme to solve the volume-fraction-based five-equation model for compressible multifluids. Several numerical examples are carried out to carefully examine the accuracy, efficiency, conservativeness and maximum-principle-satisfying property of the proposed approach.
- Subjects :
- Numerical Analysis
Conservation law
Equation of state
Mathematical optimization
Physics and Astronomy (miscellaneous)
Applied Mathematics
Space time
Upwind scheme
01 natural sciences
010305 fluids & plasmas
Computer Science Applications
010101 applied mathematics
Computational Mathematics
Maximum principle
Modeling and Simulation
0103 physical sciences
Compressibility
Applied mathematics
Flux limiter
0101 mathematics
Element (category theory)
Mathematics
Subjects
Details
- ISSN :
- 00219991
- Volume :
- 330
- Database :
- OpenAIRE
- Journal :
- Journal of Computational Physics
- Accession number :
- edsair.doi...........cc1b73acb161f59154304d0fabdaffad