移動境界を考慮したSpace-Time有限要素法による浅水長波流れ解析

抄録

This paper presents a Space-Time finite element method for shallow water flows with moving boundaries. For the stabilization techniques, the streamline upwind/Petrov-Galerkin (SUPG) is employed and the shallow water equation based on conservation variables is used for water equation. In order to determine the position of shoreline accurately, an iterative algorithm is used. Wave run-up problems are solved for numerical example and the computed results are compared with experimental results. This method is shown to be a useful tool for the analysis of shallow water flows.