The wave equation applied to the solution of
Navier-Stokes equations in finite elements
WIT Transactions on The Built Environment, (2005)Abstract
This paper deals with the numerical solution of 3-dimensional Navier-Stokes
equations with a free surface, in the framework of finite elements and the
Telemac system. The idea of the wave equation is applied here. It was previously
used for solving Shallow Water Equations and consists of eliminating the
velocity in the depth-averaged continuity equation thanks to an expression
obtained with the momentum equations. After an overview of the basic solution
procedure in Telemac-3D we detail the new algorithm and show its advantages
in terms of computer time.