rGFM方法在流-固界面问题数值模拟中的应用

rGFM(real Ghost Fluid Method)方法已经成功应用于气-水界面的数值模拟,体现了界面计算准确,守恒误差小等优点。结合Hydro-elasto-plastic固体模型,将rGFM方法推广于对流-固界面的数值计算。通过在界面处构造并求解Riemann问题,得到界面处流体的准确的流动状态。以此状态来定义界面边界条件,从而多介质流动问题转化为单介质流动问题来求解。数值结果表明,该方法可以用于流-固界面的数值计算,界面和其它间断计算准确。

Application of rGFM Method in Numerical Simulation of Fluid-Solid Interface

The rGFM method has been successfully applied to the numerical simulation of gas-water interface, The results show that the rGFM method can capture the shock waves and the material interface accurately, and have less conservation errors. In this paper, we combine the Hydro-elasto-plastic solid model,make the rGFM method popularized and applied to the numerical computation of fluid-solid material interface. In the rGFM ,a Riemann problem is defined at the interface and solved for predicting the interfacial status,using this status to difine the interfacial boundary conditions.In doing so,the multi-medium flow can be computed as single medium flow.One- dimensional cases show that the rGFM method can be applied to the fluid-solid interface,the material interface and other discontinuities are computedcorrectly,one-dimensional problems dovetail well into the exact solution.