Fully implicit adaptive method using discontinuous Galerkin finite elements for high speed flows
by R. Becker; K. Gokpi; E. Schall; D. Trujillo
International Journal of Aerodynamics (IJAD), Vol. 2, No. 2/3/4, 2012

Abstract: In this paper, we present automatic and effective mesh refinement techniques for discontinuous Galerkin finite elements methods (DGFEMs) applied to high speed inviscid flows, and based on the CONCHA finite element Library. CONCHA is a C++ software designed for the simulation of complex flow problems. The structure of its finite element library is described in this publication. It also provides different implicit methods for numerical resolution, a posteriori error estimation, and local mesh refinement. The refinement techniques presented are built on hierarchical non-conforming meshes. Then, two test cases of supersonic flows are studied in order to emphasise CONCHA's efficiency, robustness and flexibility. Perspectives as well as limitations of such refinement techniques are finally discussed.

Online publication date: Fri, 31-Oct-2014

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