A velocity-based moving mesh Discontinuous Galerkin method for the
advection-diffusion equation
A velocity-based moving mesh Discontinuous Galerkin method for the
advection-diffusion equation
In convection-dominated flows, robustness of the spatial discretisation is a key property. While Interior Penalty Galerkin (IPG) methods already proved efficient in the situation of large mesh Peclet numbers, Arbitrary Lagrangian-Eulerian (ALE) methods are able to reduce the convection-dominance by moving the mesh. In this paper, we introduce and analyse …