An adaptive multiwavelet-based DG discretization for compressible fluid flow
Adaptation methods based on multiresolution analysis using biorthogonal wavelets have been successfully used with Finite-Volume solvers for compressible fluid flow. The extension of the concept to higher-order Discontinuous Galerkin (DG) discretization may be done using so-called multiwavelets, but is yet to be fully developed. In this paper we provide a proof of concept for a solution methodology for compressible inviscid flow, using a multiwavelet-based DG discretization. A suitable adaptation algorithm based on the multiwavelet framework is established and fundamental questions regarding construction of the multiresolution scheme are addressed. We present validation using a DG solver for dimensionally reduced Euler equations. © 2011 Springer-Verlag Berlin Heidelberg.
