First Investigations on High-Order Discretization Schemes for Finite Volume Methods in Cartesian Grids
Yang, Y. and Pahlke, K. (2000) First Investigations on High-Order Discretization Schemes for Finite Volume Methods in Cartesian Grids. DLR-Interner Bericht. 129-00/10, 50 S.
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Based on a finite-volume method, a spatially fourth-order accurate scheme is proposed for solving the unsteady compressible Euler Equations for subsonic flows on Cartesian background grids in the frame of a Chimera method (Ref , ). The Chimera grids serve as background grids while curvilinear grids are used close to the solid surface of an airfoil or wing. The basic idea to achieve the high-order accuracy is realized by defining the flow values or flux terms at the interfaces of the control cell with high-order interpolation. Accuracy analysis of the high order discretization schemes is given and compared with the conventional second-order discretization scheme. A dual-time stepping method is used for time integration, thus making these schemes best suited for unsteady problems. To verify the improvement of the fourth-order scheme, a two-dimensional convecting vortex in a uniform stream and 2D BVI effects are simulated. For the 2D BVI simulations, a curvilinear grid with the original second-order scheme is used as a child grid to deal with the realistic solid surface and flow discontinuities in the near flow region. The fourth-order scheme is applied on the Cartesian background grid. The results of the simulations show that the diffusion of the moving vortex is considerably reduced compared to the original second-order discretization scheme.
|Document Type:||Monograph (DLR-Interner Bericht)|
|Title:||First Investigations on High-Order Discretization Schemes for Finite Volume Methods in Cartesian Grids|
|Number of Pages:||50|
|Keywords:||CFD, Euler equations, highly accurate schemes, vortex advection, unsteady flows, Chimera|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Aeronautics|
|HGF - Program Themes:||L RR - Rotorcraft Research|
|DLR - Research area:||Aeronautics|
|DLR - Program:||L RR - Rotorcraft Research|
|DLR - Research theme (Project):||L - The Virtual Aerodynamic Rotorcraft|
|Location:||Köln-Porz , Braunschweig , Göttingen|
|Institutes and Institutions:||Institute of Aerodynamics and Flow Technology > Institut für Entwurfsaerodynamik|
|Deposited By:||Claudia Grant|
|Deposited On:||16 Sep 2005|
|Last Modified:||14 Jan 2010 20:19|
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