A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows
Year: 2022
Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 3 : pp. 715–743
Abstract
We propose a hybrid scheme combing the level set method and the multi-component diffuse interface method to simulate complex multi-phase flows. The overall numerical scheme is based on a sharp interface framework where the level set method is adopted to capture the material interface, the Euler equation is used to describe a single-phase flow on one side of the interface and the six-equation diffuse interface model is applied to model the multi-phase mixture or gas-liquid cavitation on the other side. An exact Riemann solver, between the Euler equation and the six-equation model with highly nonlinear Mie-Grüneisen equations of state, is developed to predict the interfacial states and compute the phase interface flux. Several numerical examples, including shock tube problems, cavitation problems, air blast and underwater explosion applications are presented to validate the numerical scheme and the Riemann solver.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/nmtma.OA-2021-0162
Numerical Mathematics: Theory, Methods and Applications, Vol. 15 (2022), Iss. 3 : pp. 715–743
Published online: 2022-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 29
Keywords: Multi-phase flow sharp interface diffuse interface level set six-equation model exact Riemann solver Mie-Grüneisen equation of state.