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, . AGARD, 1988, Lissabon (P).
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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|
|Journal or Publication Title:||AGARD-CPP-437|
|In ISI Web of Science:||No|
|Keywords:||Accuracy, Finite Volume Method|
|Event Location:||Lissabon (P)|
|Event Type:||international Conference|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Aeronautics|
|HGF - Program Themes:||L AR - Aircraft Research|
|DLR - Research area:||Aeronautics|
|DLR - Program:||L AR - Aircraft Research|
|DLR - Research theme (Project):||L - Concepts & Integration|
|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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