Upwind relaxation method for hypersonic flow simulation

Upwind relaxation strategies have been developed for space and time marching methods to solve the 3D Euler and thin-layer Navier-Stokes equations for steady hypersonic flow of perfect gas over pointed and blunt bodies, respectively. The inviscid fluxes are discetized by the upwind scheme of Harten a...

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Bibliographische Detailangaben
1. Verfasser: Müller, Bernhard (VerfasserIn)
Format: UnknownFormat
Sprache:eng
Veröffentlicht: Köln 1991
Ausgabe:Als Ms. gedr.
Schriftenreihe:Deutsche Forschungsanstalt für Luft- und Raumfahrt <Köln>: Forschungsbericht 1991,36
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Zusammenfassung:Upwind relaxation strategies have been developed for space and time marching methods to solve the 3D Euler and thin-layer Navier-Stokes equations for steady hypersonic flow of perfect gas over pointed and blunt bodies, respectively. The inviscid fluxes are discetized by the upwind scheme of Harten and Yee, and the vicous fluxes are second-order central-differenced. For pointed bodies, the space marching method iterates the time-dependent difference equations to the steady state in crossflow planes starting from a conical solution near the body apex. For blunt bodies, the time marching method employs an alternating planar Gauss-Seidekl relaxation in the streamwise direction. Stability and convergence are enhanced by underrelaxing each wave in the crossflow planes individually. The methods are validated for inviscid and laminar hypersonic flows over a 10° circular cone and a shpere-15° cone. The present space marching method is about one order of magnitude more efficient that the time marching method"--Pg. 4
Beschreibung:84 S.
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