DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

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.

Full text not available from this repository.


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 [1], [2]). 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.

Item URL in elib:https://elib.dlr.de/13355/
Document Type:Monograph (DLR-Interner Bericht)
Additional Information: LIDO-Berichtsjahr=2001,
Title:First Investigations on High-Order Discretization Schemes for Finite Volume Methods in Cartesian Grids
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Number of Pages:50
Keywords:CFD, Euler equations, highly accurate schemes, vortex advection, unsteady flows, Chimera
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Rotorcraft (old)
DLR - Research area:Aeronautics
DLR - Program:L RR - Rotorcraft Research
DLR - Research theme (Project):L - The Virtual Aerodynamic Rotorcraft (old)
Location: Köln-Porz , Braunschweig , Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Institut für Entwurfsaerodynamik
Deposited By: Grant, Claudia
Deposited On:16 Sep 2005
Last Modified:14 Jan 2010 20:19

Repository Staff Only: item control page

Help & Contact
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.