2007 年 10 巻 p. 255-262
This paper presents an ALE finite element method for free surface flow problems based on background mesh. The mesh re-generation method based on background mesh is introduced to improve the applicability and the robustness of the method. And the decision method of free surface position is investigated to the complicated free surface shapes. The stabilization methods based on SUPG and PSPG methods are employed to improve numerical stabilities. As numerical examples, the present method is applied to the hydraulic jump problem and wave problem around a submerged breakwater. The efficiency and applicability of the present method are shown by numerical results.