基于Riemann问题的解在自适应无结构网格上求解Euler方程

给出了一种根据 Riemann问题的解 ,计算网格单元边界处的守恒量通量的方法。该方法不受网格单元形状的限制 ,具有较好的通用性。实际计算表明 ,采用这一方法在自适应无结构网格上求解 Euler方程 ,对于复杂的流动细节具有较高的分辨率 ,并且使用多重网格法能够加速收敛

An Algorithm for Euler Equations Using Adaptive Unstructured Grid Based on Riemann Problem Solution

An algorithm to solve two dimensional Euler equations on adaptive unstructured grids is presented.It uses the analytical solution of Riemann problem to calculate the numerical conservative fluxes.With the velocity tangent to the face being treated as a passively advected quantity, the flux is obtained by solving Riemann problem for the projected equations along the normal to that face.Within the framework of adaptive mesh refinement,the algorithm obtains high resolution.Convergence to steady state is accelerated by multigrid method.Cases are run for subsonic and supersonic internal flows.The results show that the algorithm is robust and accurate,even in the presence of nonlinear discontinuities.