Contributed Talk
Implicit multi-derivative time discretization for the DG method
UHasselt University, Belgium
Abstract
In this talk, we present recent results on how to efficiently combine a discontinuous Galerkin method with a deferred correction multi-derivative time discretization. We show how to augment the spatial operator in such a way that the fully discrete scheme is stable; this ultimately results in an extended system matrix. We investigate and develop preconditioners for this extended matrix and show how to efficiently solve the resulting non-linear algebraic equations using a state-of-the-art Jacobian-free Newton-Krylov approach. Finally, numerical results for the compressible Navier-Stokes equation are shown.