自由表面を有する非圧縮粘性流れの数値解析

抄録

The purpose of this paper is to calcurate imcompressible viscous flows with free surfaces by using the third-order upwind finite element scheme and the Arbitrary Lagrangian-Eulerian (ALE) method. Waves on the free surfaces are limited to the waves without braking conditions. Numerical dissipation added into the upwind finite element scheme is expressed by the fourth-differentials with respect to the flow velocities. The pressure is computed by the Poisson equation which is derived by making the divergence of the Navier-tokes equations. Numerical results of flows with free surfaces are presented to illustrate the effectiveness and robustness of the proposed upwind scheme.