A conservative interface-interaction method for compressible multi-material flows

• Published in: Journal of computational physics Vol. 371; pp. 870 - 895
• Main Authors: Pan, Shucheng, Han, Luhui, Hu, Xiangyu, Adams, Nikolaus A.
• Format: Journal Article
• Language: English
• Published: Cambridge Elsevier Inc 15.10.2018; Elsevier Science Ltd
• Subjects: Cells; Compressible fluids; Compressible multi-material flows; Computational fluid dynamics; Computational physics; Computer simulation; Conservation; Efficiency; Fluid dynamics; Inertial confinement fusion; Interface scale separation; Level-set method; Multi-resolution simulations; Robustness (mathematics); Sharp interface method; Simulation; Sharp interface method; Multi-resolution simulations; Level-set method; Interface scale separation; Compressible multi-material flows
• ISSN: 0021-9991; 1090-2716
• DOI: 10.1016/j.jcp.2018.02.007

In this paper we develop a conservative interface-interaction method dedicated to simulating multiple compressible fluids with sharp interfaces. Numerical models for finite-volume cells cut by more than two material-interface are proposed. First, we simplify the interface interaction inside such a cell to avoid the need for explicit interface reconstruction and very complex flux calculation. Second, conservation is strictly preserved by an efficient conservation correction procedure for the cut cell. To improve robustness, a multi-material scale separation model is developed to remove consistently non-resolved interface scales. In addition, a multi-resolution method and a local time-stepping scheme are incorporated into the proposed multi-material method to speed up high-resolution simulations. Various numerical test cases, including the multi-material shock tube problem, inertial confinement fusion implosion, triple-point shock interaction and shock interaction with multi-material bubbles, show that the method is suitable for a wide range of complex compressible multi-material flows. •A conservative interface-interaction method dedicated to simulating multiple (three or more) compressible fluids.•Simple and fully conservative numerical models for finite-volume cut cells.•A multi-material scale separation model to improve robustness.•A multi-resolution method and a local time-stepping scheme incorporated.•High robustness for high-resolution simulations.