Modeling Free Surface Flows Using Stabilized Finite Element Method

Abstract EN

This work aims to develop a numerical wave tank for viscous and inviscid flows.

The Navier-Stokes equations are solved by time-discontinuous stabilized space-time finite element method.

The numerical scheme tracks the free surface location using fluid velocity.

A segregated algorithm is proposed to iteratively couple the fluid flow and mesh deformation problems.

The numerical scheme and the developed computer code are validated over three free surface problems: solitary wave propagation, the collision between two counter moving waves, and wave damping in a viscous fluid.

The benchmark tests demonstrate that the numerical approach is effective and an attractive tool for simulating viscous and inviscid free surface flows.