Abstract
This paper presents a mesh re-generation technique based on background mesh for shallow water flows with moving boundaries. The stabilized space-time finite element method based on GLS (Galerkin Least Square) method is introduced for both space and time discretization to compute the moving boundary problems in shallow water flows, accurately. In order to improve the robustness of computation and the consideration of accurate landform the re-generation technique using a back-ground mesh is introduced. The present method is applied to several wave run-up problems. The efficiency of the present method is shown by numerical results.
