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Investigation of the Accuracy of Finite Volume Methods for 2- and 3-Dimensional Flows

Rossow, Cord-Christian and Kroll, Norbert and Radespiel, Rolf and Scherr, Steven (1988) Investigation of the Accuracy of Finite Volume Methods for 2- and 3-Dimensional Flows. In: AGARD-CPP-437, 17.1-17.11. AGARD, 1988, Lissabon (P).

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Abstract

The accuracy of finite volume methods for the discretization of the unsteady Euler equations in the cartesian coordinate frame is investigated. For finite volume methods, general requirements are derived for a spatial discretization which yields first order accuracy on arbitrary meshes. An error analysis shows that in two dimensions methods based on a cell vertex scheme meet these requirements whereas methods based on a cell centered scheme do not. Numerical results on different two-dimensional meshes confirm the theoretical statement that only cell vertex schemes perform accurately on grids with slope discontinuities. Using structured coordinate grids for complex three-dimensional flow problems, even cell vertex schemes require additional effort to ensure first order accuracy on arbitrary meshes. The applicability of the cell vertex scheme is demonstrated by the calculation of the flow field in a nozzle and the flow around a powered nacelle.

Document Type:Conference or Workshop Item (Speech)
Title:Investigation of the Accuracy of Finite Volume Methods for 2- and 3-Dimensional Flows
Authors:
AuthorsInstitution or Email of Authors
Rossow, Cord-ChristianUNSPECIFIED
Kroll, NorbertUNSPECIFIED
Radespiel, RolfUNSPECIFIED
Scherr, StevenWright Patterson AFB
Date:1988
Journal or Publication Title:AGARD-CPP-437
Refereed publication:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:17.1-17.11
Status:Published
Keywords:Accuracy, Finite Volume Method
Event Title:AGARD
Event Location:Lissabon (P)
Event Type:international Conference
Event Dates:1988
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Concepts & Integration
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology
Deposited By: Prof. Dr.-Ing. Cord-Christian Rossow
Deposited On:09 May 2006
Last Modified:27 Apr 2009 04:52

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