应用改进虚拟流方法计算多介质可压缩流动

Modified ghost fluid method and computation for compressible multi-fluid flows

原始的虚拟流(GFM)方法在处理强激波与物质界面作用时遇到了困难,计算结果不准确.本文采用改进虚拟流方法(MGFM)对多介质可压缩流体进行了数值模拟,采用二阶TVD-WAF格式结合HLLC求解器求解Euler方程得到流场参数分布,应用五阶WENO求解level set方程捕捉物质界面.在此基础上分别计算了一维和二维数值算例.结果表明,该方法在能精确捕捉到物质界面的同时可以计算较强激波情况下的流场,并且可以捕获激波、物质界面和各类间断的相互作用.

It is found that original ghost fluid method （GFM） did not work consistently and efficiently when applied to a strong shock impacting on a material interface. In this work, as to the numerical simulation of multi-fluid flow, the second-order TVD-WAF scheme with Riemann solver HLLC was applied to solve Euler equations; fifth-order WENO was implemented to solve level set equation; material interface was treated with modified ghost fluid method （MGFM）. Numerical results of 1-D and 2-D cases show that the code not only captures material interface accurately but also works well when applied to a strong shock impacting on a material interface with high resolution.