A Front Tracking Method for the Simulation of Compressible Multimedium Flows. (15th January 2016)

• Record Type: Journal Article
• Authors: Lu, Haitian; Zhao, Ning; Wang, Donghong
• Is Part Of: Communications in computational physics. Volume 19:Number 1(2016:Jan.)
• Page Start: 124
• Page End: 142
• Publication Date: 2016-01-15
• Subjects: 35L65, -- 76T10, -- 76T99; 47.10.ab, -- 47.11.-j, -- 47.55.Ca; Front tracking method, -- real ghost fluid method, -- compressible flows, -- Riemann problem, -- fluid interfaces; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.260314.310315a
• Languages: English
• ISSNs: 1815-2406

Abstract

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.