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Investigations of a compressible second order finite volume code towards the incompressible limit

Langer, Stefan (2017) Investigations of a compressible second order finite volume code towards the incompressible limit. Computers & Fluids, 0045 (7930), pp. 119-137. Elsevier. doi: 10.1016/j.compfluid.2017.02.018. ISSN 0045-7930.

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Official URL: http://dx.doi.org/10.1016/j.compfluid.2017.02.018


The accuracy of many existing codes, originally implemented for transonic or supersonic problems, often degrades as the inflow Mach number tends to zero. At low Mach number, the Roe scheme or a similar formulated artificial viscosity scheme which is close to a Roe scheme presents an excess of artificial viscosity. As a result, several years ago a correction of these kinds of schemes was introduced by Turkel. Such correction yields a significant improvement of the accuracy of the solution for the low Mach regime. In particular, for inviscid low Mach number flows it was shown in the literature that the accuracy of the results obtained with the modification of Turkel is comparable with results obtained with CFD codes designed for incompressible flows. Unfortunately, a loss of robustness for the correction of Turkel is often observed when considering compressible high Reynolds number viscous flows. Typical examples investigated in aerodynamics are configurations at high angle of attack, for example an aircraft in landing configuration. Besides other complex flow phenomena, for these kinds of flows both strong locally compressible flows and large incompressible regions are observed. In particular for these kinds of flows the modification of the code needs to work reliably. Based on the work of Rossow and Swanson we are going to present a further modification for the extension of a compressible code towards the incompressible limit. Numerical examples demonstrate the superiority of the method when compared with the modification suggested by Turkel. Moreover, 2D and 3D examples are given demonstrating the applicability of the method to flows of locally compressible and large incompressible effects. Furthermore, the suggested method does not show severe robustness problems for these kinds of flows when compared with the non-modified scheme.

Item URL in elib:https://elib.dlr.de/111674/
Document Type:Article
Title:Investigations of a compressible second order finite volume code towards the incompressible limit
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Date:13 June 2017
Journal or Publication Title:Computers & Fluids
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
Page Range:pp. 119-137
Keywords:Compressible RANS equations Incompressible Limit Low Mach number preconditioning Accuracy investigation High Reynolds number turbulent flow
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Flight Physics (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Langer, Dr.rer.nat. Stefan
Deposited On:29 Mar 2017 12:01
Last Modified:06 Sep 2019 15:18

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