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A Front Tracking Method for the Simulation of Compressible Multimedium Flows

Part of: Hyperbolic equations and systems Two-phase and multiphase flows

Published online by Cambridge University Press:  15 January 2016

Haitian Lu ,
Ning Zhao  and
Donghong Wang
Haitian Lu
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, P.R. China
Ning Zhao*
Affiliation:
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, P.R. China
Donghong Wang
Affiliation:
College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, P.R. China
*
*Corresponding author. Email addresses:lhtgkzy@126.com (H. Lu), zhaoam@nuaa.edu.cn (N. Zhao), wangdonghong@nuaa.edu.cn (D. Wang)
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Abstract

A front tracking method combined with the real ghost fluid method (RGFM) is proposed for simulations of fluid interfaces in two-dimensional compressible flows. In this paper the Riemann problem is constructed along the normal direction of interface and the corresponding Riemann solutions are used to track fluid interfaces. The interface boundary conditions are defined by the RGFM, and the fluid interfaces are explicitly tracked by several connected marker points. The Riemann solutions are also used directly to update the flow states on both sides of the interface in the RGFM. In order to validate the accuracy and capacity of the new method, extensive numerical tests including the bubble advection, the Sod tube, the shock-bubble interaction, the Richtmyer-Meshkov instability and the gas-water interface, are simulated by using the Euler equations. The computational results are also compared with earlier computational studies and it shows good agreements including the compressible gas-water system with large density differences.

Keywords

47.10.ab47.11.-j47.55.CaFront tracking methodreal ghost fluid methodcompressible flowsRiemann problemfluid interfaces

MSC classification

Secondary: 35L65: Conservation laws 76T10: Liquid-gas two-phase flows, bubbly flows 76T99: None of the above, but in this section
Type
Research Article
Information
Communications in Computational Physics , Volume 19 , Issue 1 , January 2016 , pp. 124 - 142
Copyright
Copyright © Global-Science Press 2016 

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