A front trackingmethod combinedwith the real ghost fluidmethod(RGFM)is proposed for simulations of fluid interfaces in two-dimensional compressible flows.In this paper the Riemann problem is constructed along the norm...A front trackingmethod combinedwith the real ghost fluidmethod(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.展开更多
基金All the authors are supported by NSFC grants 91130030 and 11432007Additional support is provided by a project funded by the Priority Academic Program Development(PAPD)of Jiangsu Higher Education Institutions.The authors would like to thank Pro-fessor Jie Wu for his useful suggestions.
文摘A front trackingmethod combinedwith the real ghost fluidmethod(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.
