Adaptive Mesh Redistibution Method Based on Godunov's Scheme

Abstract

In this work, a detailed description for an efficent adaptive mesh\nredistribution algorithm based on the Godunov's scheme is presented.\nAfter each mesh iteration a second-order finite-volume flow solver is\nused to update the flow parameters at the new time level directly\nwithout using interpolation. Numerical experiments are perfomed\nto demonstrate the efficency and robustness of the proposed adaptive\nmesh algorithm in one and two dimensions.