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A Time-Accurate Upwind Unstructured Finite Volume Method for Compressible Flow with Cure of Pathological BehaviorsA time-accurate, upwind, finite volume method for computing compressible flows on unstructured grids is presented. The method is second order accurate in space and time and yields high resolution in the presence of discontinuities. For efficiency, the Roe approximate Riemann solver with an entropy correction is employed. In the basic Euler/Navier-Stokes scheme, many concepts of high order upwind schemes are adopted: the surface flux integrals are carefully treated, a Cauchy-Kowalewski time-stepping scheme is used in the time-marching stage, and a multidimensional limiter is applied in the reconstruction stage. However even with these up-to-date improvements, the basic upwind scheme is still plagued by the so-called "pathological behaviors," e.g., the carbuncle phenomenon, the expansion shock, etc. A solution to these limitations is presented which uses a very simple dissipation model while still preserving second order accuracy. This scheme is referred to as the enhanced time-accurate upwind (ETAU) scheme in this paper. The unstructured grid capability renders flexibility for use in complex geometry; and the present ETAU Euler/Navier-Stokes scheme is capable of handling a broad spectrum of flow regimes from high supersonic to subsonic at very low Mach number, appropriate for both CFD (computational fluid dynamics) and CAA (computational aeroacoustics). Numerous examples are included to demonstrate the robustness of the methods.
Document ID
20070030207
Acquisition Source
Glenn Research Center
Document Type
Technical Memorandum (TM)
Authors
Loh, Ching Y. (Taitech, Inc. Beavercreek, OH, United States)
Jorgenson, Philip C. E. (NASA Glenn Research Center Cleveland, OH, United States)
Date Acquired
August 24, 2013
Publication Date
July 1, 2007
Subject Category
Numerical Analysis
Report/Patent Number
NASA/TM-2007-214918
E-16124
Meeting Information
Meeting: 18th AIAA CFD Conference
Location: Miami, FL
Country: United States
Start Date: June 25, 2007
End Date: June 28, 2007
Sponsors: American Inst. of Aeronautics and Astronautics
Funding Number(s)
CONTRACT_GRANT: NAS3-0372
WBS: WBS 561581.02.08.03.18.02
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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