Abstract We present an extension of the multidimensional upwind distributive schemes to high order solution spaces. We look into different high-order discretization issues such as: quadratic and cubic boundary curvature; monotonicity of the schemes in presence of solutions with discontinuities; discretisation of temporal terms for unsteady applications and discretization of diffusive fluxes. Results of test cases representative of all these issues are presented.
High Order Residual Distribution Schemes Based on Multidimensional Upwinding
ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications ; 2 ; 129-143
2010-01-01
15 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
Order Preserve , High Order Scheme , Curve Geometry , Monotone Scheme , Scalar Advection 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