Residual-Based Compactness versus Directionality for High-Order Compressible Flow Calculations
- 261 Downloads
A comparison is made of two approaches for constructing high-order accurate schemes: one is Directional Non Compact (DNC) and the other is Residual-Based Compact (RBC). Both methods are simple and tuning-parameter free. Real accuracy and computational efficiency are discussed for various 2-D hyperbolic problems including compressible flows with shocks. The DNC and RBC schemes produce high-order results, but the RBC scheme proves to be much better for shock capturing capabilities and computational efficiency.
KeywordsMach Number Compressible Flow Lift Coefficient Transonic Flow Numerical Flux
Unable to display preview. Download preview PDF.
- Lerat A. and Corre C., Residual-based compact schemes for multidimensional hyperbolic systems of conservation laws, Colloquium “State of the Art in CFD”, Marseille, France, September 1999, to be published in Comp. and Fluids. Google Scholar
- Lerat A. and Corre C., A compact third-order accurate scheme using a first-order dissipation for the compressible Navier-Stokes equations, submitted to J. Comp. Phys.. Google Scholar
- Lerat A. and Rezgui A., Schémas dissipatifs précis à l’ordre trois pour les systèmes hyperboliques, C.R. Acad. Sci., Paris, 323, II b, pp. 397–403 (1996).Google Scholar
- Van Leer B., Upwind-difference methods for aerodynamic problems governed by the Euler equations, Lect. in Appl. Math.,vol. 22, pp. 327–336 (1985).Google Scholar
- Lerat A., Corre C. and Hanss G., Efficient High-order Schemes on Non-uniform Meshes for Multi-D Compressible Flows, Frontiers of CFD - 2000,D. Caughey and M. Hafez Eds, World Scientific, to appear.Google Scholar
- Dervieux A., Van Leer B., Periaux J. and Rizzi A., Numerical simulation of compressible Euler flows, GAMM Workshop, Notes on Numerical Fluid Mechanics, vol. 26 (1989).Google Scholar
- Lerat A. and Sidès J., Efficient solution of the steady Euler equations with a centered implicit method, Numerical Methods for Fluid Dynamics 3, ed. by K.W.Morton and M.J. Baines, Clarendon Press Oxford, 65 (1988).Google Scholar