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Self-adaptive mesh refinement for the computation of steady, compressible, viscous flows

Published online by Cambridge University Press:  04 July 2016

J. Fischer
J. Fischer*
Affiliation:
Cray Research, Germany
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Summary

An adaptive method for the computation of steady, viscous compressible flows over a wide range of Reynolds and Mach numbers is presented. The method is based on a well-proven scheme for the solution of the compressible Reynolds-averaged Navier-Stokes equations and employs the flexible AMR-grid structure for the adaptation of discretisation to the computed flow. The basic numerical scheme and the grid structure are reviewed and the sensors employed for the detection of the main flow phenomena are presented. Special attention is given to several flows computed with the adaptive method. The numerical results are partially compared to experimental data and generally a good agreement is observed. It is also recognised that, with the present adaptive method, flow features can be computed with high resolution using greatly reduced computing power. At this time, the method is limited to the simulation of two-dimensional flows, with the extension to three space dimensions currently under development.

Übersicht

Übersicht

Es wird ein adaptives Verfahren zur Berechnung stationärer reibungsbehafteter kompressibler Strömungen in einem weiten Mach- und Reynoldszahlbereich vorgestellt. Das Verfahren basiert auf einem bewährten Schema zur Lösung der kompressiblen Reynolds-gemittelten Navier-Stokesschen Gleichungen und verwendet die flexible AMR-Gitterstruktur zur Anpassung der Diskretisierung an die sich ergebende Strömung. Das zugrundeliegende Basisintegrationsverfahren und die Netzstruktur werden kurz besprochen und die zur Lokalisierung der wichtigsten Strömungsphänomene verwendeten Sensoren vorgestellt. Das Hauptaugenmerk wird auf verschiedene Strömungen gerichtet, welche mit dem adaptiven Verfahren berechnet wurden. Die numerischen Ergebnisse werden teilweise mit experimentell ermittelten Werten verglichen. Dabei kann überwiegend eine gute Übereinstimmung festgestellt werden. Es ist ebenfalls deutlich zu erkennen, daß mit dem vorliegenden adaptiven Verfahren einzelne Strömungsphänomene mit hoher Auflösung mit stark reduziertem Einsatz von Computerressourcen numerisch ermittelt werden können. Momentan ist das Verfahren auf die numerische Berechnung zweidimensionaler Strömungen beschränkt, es wird jedoch zur Zeit auf drei Raumdimensionen erweitert.

Type
Research Article
Information
The Aeronautical Journal , Volume 97 , Issue 970 , December 1993 , pp. 357 - 367
Copyright
Copyright © Royal Aeronautical Society 1993 

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