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research-article

On immiscibility preservation conditions of material interfaces in the generic five-equation model

Authors:

Shuang TanAuthors Info & Claims

Volume 513, Issue C

https://doi.org/10.1016/j.jcp.2024.113192

Published: 08 August 2024 Publication History

Abstract

Interfaces separating pure materials and mixtures tend to be severely smeared with interface-capturing methods for compressible multi-material flows, necessitating the requirement of various interface-sharpening techniques. However, these techniques have various problems related to consistency, conservation, and thermodynamic compatibility. In this work, we derive a general theoretical formulation of interface-sharpening techniques for the generic five-equation model. This theoretical formulation is not only conservative in mass, momentum, and total energy but also asymptotically compatible with the thermodynamic mixture laws of the mixture model upon which it is constructed, and is independent of various specific numerical algorithms. We further propose a general numerical method to solve this theoretical formulation. The proposed method is consistent and conservative, and it prevents spurious errors at the interfaces. Examples of one- and two-dimensional multimaterial compressible flow problems, including shocks and interfaces, are considered to verify the analysis and demonstrate the efficiency of the method.

Highlights

•

We first derived a general theoretical formulation of interface-sharpening techniques for the generic five-equation model.

•

A multi-material artificial compression method (MMACM) is proposed.

•

The proposed method can handle more complicated equations of state, and materials that is larger than two.

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Published In

cover image Journal of Computational Physics

Journal of Computational Physics Volume 513, Issue C

Sep 2024

1004 pages

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Elsevier Inc.

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Academic Press Professional, Inc.

United States

Publication History

Published: 08 August 2024

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