A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics

A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics
DOI: 10.2514/6.2014-2923
Abstract: The nature of boundary conditions, and how they are implemented, can have a significant impact on the stability and accuracy of a Computational Fluid Dynamics (CFD) solver. The objective of this paper is to assess how different boundary conditions impact the performance of compact discontinuous high-order spectral element methods (such as the discontinuous Galerkin method and the Flux Reconstruction approach), when these schemes are used to solve the Euler and compressible Navier-Stokes equations on unstructured grids.