Level set based parallel computations of unsteady free surface flows

The simulation of free surface flow is a computationally demanding task. Real life simulations require often the treatment of unstructured grids to capture the complex geometries and the use of parallel supercomputers for the efficient solution. For that aim, we have developed an efficient parallel free surface flow solver based on a full...

Analysis of a hybrid p-Multigrid method for the discontinuous Galerkin discretisation of the Euler equations

A hybrid implicit and explicit p-Multigrid iteration strategy for the discretisation of the steady Euler equations with the discontinuous Galerkin finite element method is presented. The implicit strategy consists of an inexact damped Newton iteration, using an ILU(0)-preconditioned GMRES method for the solution of the linear system. Since the...