## 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.

Original language | English |
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Pages (from-to) | 668-692 |

Number of pages | 25 |

Journal | Journal of Computational Physics |

Volume | 330 |

DOIs | |

Publication status | Published - 1 Feb 2017 |

## Keywords

- Compressible multifluids
- Five-equation model
- Maximum-principle-satisfying scheme
- Space-time conservation element and solution element (CE/SE) method
- Upwind scheme

## ASJC Scopus subject areas

- Numerical Analysis
- Modelling and Simulation
- Physics and Astronomy (miscellaneous)
- Physics and Astronomy(all)
- Computer Science Applications
- Computational Mathematics
- Applied Mathematics