真实虚拟流方法在多介质可压缩流动模拟中的应用

为了克服原始虚拟流方法(ghost fluid method,GFM)在处理激波与大密度比流体-流体（气-水）界面相互作用时遇到的困难，采用真实虚拟流法(real ghost fluid method,RGFM)处理流体界面附近的虚拟点，结合HLLC(Harten-Lax-Van Leer with contact discontinuities)格式求解Euler方程，采用五阶WENO(weighted essentially nonoscillatory)格式求解level set输运方程。通过一维和二维算例的物质界面捕捉研究，证明RGFM在处理小密度比界面问题时优于GFM，同时RGFM还可用于求解激波与大密度比物质界面相互作用问题。计算表明,将RGFM引入到本文算法中，可精确捕捉到激波与界面（气-气、气-水界面）相互作用的变化细节,包括大密度比界面的剧烈变形和破碎，并具有较高的计算分辨率。

Application of real ghost fluid method to simulation of compressible multi-fluid flows

 In order to avoid the difficulties of the original ghost fluid method (GFM) in simulating the interaction between shock wave and material (fluid-fluid, gas-water) interface with large density ratio, the real ghost fluid method (RGFM) was adopted to treat the ghost points near the material interface, the HLLC (Harten-Lax-Van Leer with contact discontinuities) Riemann solver was applied to solve the Euler equations, and the fifth-order weighted essentially nonoscillatory (WENO) scheme was implemented to solve the level set equation. Numerical simulations were carried out for one-dimensional and two dimensional examples, respectively. Simulated results show that the RGFM is superior to the GFM, and the images by the RGFM can display more details of the interaction between shock wave and material interface, which include the distinct deformation and fragmentation of the material interfaces with high density ratios.