Abstract In this paper we consider the very high order approximation of solutions of the Euler equations. We present a systematic generalization of the Residual Distribution method of [8] to very high order of accuracy, by extending the preliminary work discussed in [17]. We present extensive numerical validation for the third and fourth order cases with Lagrange finite elements. In particular, we demonstrate that we an both have a non oscillatory behavior, even for very strong shocks and complex flow patterns, and the expected accuracy on smooth problems. We also extend the scheme to laminar viscous problems.
Construction of High-Order Non Upwind Distribution Schemes
ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications ; 2 ; 107-128
2010-01-01
22 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Computational Fluid Dynamics , Mach Number , Euler Equation , Quadrature Formula , Distribution Scheme Engineering , Engineering Fluid Dynamics , Astronomy, Astrophysics and Cosmology , Classical Continuum Physics , Aerospace Technology and Astronautics , Appl.Mathematics/Computational Methods of Engineering , Numerical and Computational Physics