Development of a High-Order Discontinuous Galerkin Method for Multi-Physics Problems Governed by Hyperbolic Equations
Abstract
This report results from a contract tasking FORTH/IACM as follows: Accurate predictions of skin friction and thermal loads caused by complex compressible flows require high resolution computations. High order, discontinuous Galerkin (DG) discretizations are used to compute viscous supersonic flows with strong shocks. Emphasis is given to accurate predictions of surface heat transfer. The two key ingredients, which make practical the use of the DG method for these calculations, are implementation of efficient implicit time marching methods, and use of solution adaptive procedures. Implicit time marching is necessary in order to overcome the severe stability limitations encountered with the increase of the order of spatial DG discretizations. On the other hand, solution adaptive schemes ensure high accuracy (p-type refinement) in regions with smooth but complex flow features, such as wall layers detached shear layers and vortices, while at the same time allow resolution of strong discontinuities without oscillations on a finer mesh (h-type refinement) where lower order expansions are used. The development and validation of such an implicit hp adaptive DG method for mixed-type elements is proposed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 15, 2010
- Accession Number
- ADA530862
Entities
People
- John Ekaterinarius