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A Sharp Interface Method for Compressible Multi-Phase Flows Based on the Cut Cell and Ghost Fluid Methods

Part of: Optics, electromagnetic theory - General

Published online by Cambridge University Press:  11 July 2017

Xiao Bai  and
Xiaolong Deng
Xiao Bai*
Affiliation:
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China Building 9, East Zone, ZPark II, No. 10 East Xibeiwang Road, Haidian District, Beijing Computational Science Research Center, Beijing 100193, China
Xiaolong Deng*
Affiliation:
Building 9, East Zone, ZPark II, No. 10 East Xibeiwang Road, Haidian District, Beijing Computational Science Research Center, Beijing 100193, China
*
*Corresponding author. Email:baixiao@csrc.ac.cn (X. Bai), xiaolong.deng@csrc.ac.cn (X. L. Deng)
*Corresponding author. Email:baixiao@csrc.ac.cn (X. Bai), xiaolong.deng@csrc.ac.cn (X. L. Deng)

Abstract

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A new sharp interface method with the combination of Ghost Fluid Method (GFM) and Cut Cell scheme is developed to study compressible multi-phase flows with clear interfaces. Straight-line cutting is applied on the cells passed by the interface. A new real-ghost mixing method is presented and applied around the cut cells to deal with very small cut cells. A cut face reconstruction method similar to volume of fluid is applied to deal with topological change problems. A high order Level Set (LS) method is applied to evolve the free interface, with the Level Set velocities from exact Riemann solver on the cut faces. Various 1D and 2D numerical examples are tested to show the robustness and ability of the present method in wide flow variable domains. This method benefits from cut cell on the sharp interface description, shows good conservation performance, and does not have the topological change difficulty of the full cut cell method presented in Chang, Deng & Theofanous, J. Comput. Phys., 242 (2013), pp. 946–990.

Keywords

Compressible multi-phase flowscut cell methodlevel set methodghost fluid methodinterfacial dynamics

MSC classification

Secondary: 78A48: Composite media; random media

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 9 , Issue 5 , October 2017 , pp. 1052 - 1075
Copyright
Copyright © Global-Science Press 2017 

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