Abstract A residual-based compact (RBC) scheme originally designed on structured grids has been extended to unstructured grids. A second and third-order finite-volume (FV) formulations of the residual-based scheme have been proposed, which rely on a linear or quadratic least-square based solution reconstruction and an original dissipation flux. A simple matrix-free implicit scheme provides robustness and fast-convergence to a steady-state. The schemes are extended from a steady inviscid formulation to viscous and unsteady flows, keeping the same design principles and successively including new contributions to the residual. Computations of 2D and 3D external flows proposed in the ADIGMA project are presented and analyzed.
A Third-Order Finite-Volume Residual-Based Scheme on Unstructured Grids
ADIGMA - A European Initiative on the Development of Adaptive Higher-Order Variational Methods for Aerospace Applications ; 2 ; 167-180
2010-01-01
14 pages
Article/Chapter (Book)
Electronic Resource
English