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Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite Volume Flow Solvers

Löwe, Johannes and Probst, Axel and Knopp, Tobias and Kessler, Roland (2016) Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite Volume Flow Solvers. AIAA Journal, 54 (10), pp. 2961-2971. American Institute of Aeronautics and Astronautics (AIAA). doi: 10.2514/1.J054956. ISSN 0001-1452.

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Official URL: https://doi.org/10.2514/1.J054956


A new low-dissipation low-dispersion second-order scheme suitable for unstructured finite volume flow solvers is presented that is designed for vortical flows and for scale-resolving simulations of turbulence. The idea is that, by optimizing its dispersion properties, a standard second-order method can be improved significantly for such flows. The key is to include gradient information for computing face values of the fluxes and to use this additional degree of freedom to improve the dispersion properties of the scheme. The scheme is motivated by a theoretical consideration of the dispersion properties for a one-dimensional scalar transport equation problem. Then, the new scheme is applied using the DLR TAU-code for compressible flows and the DLR THETA-code for incompressible flows for simulations of the moving vortex problem and the Taylor–Green vortex flow. The improved accuracy for small-scale transportation and the easy implementation make this scheme a promising candidate for efficient scale-resolving simulations of turbulent flows.

Item URL in elib:https://elib.dlr.de/110917/
Document Type:Article
Additional Information:AIAA JOURNAL Vol. 54, No. 10, October 2016
Title:Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite Volume Flow Solvers
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Löwe, Johannesjohannes.loewe (at) dlr.deUNSPECIFIED
Probst, Axelaxel.probst (at) dlr.deUNSPECIFIED
Knopp, Tobiastobias.knopp (at) dlr.deUNSPECIFIED
Kessler, Rolandroland.kessler (at) dlr.deUNSPECIFIED
Date:28 July 2016
Journal or Publication Title:AIAA Journal
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:Yes
DOI :10.2514/1.J054956
Page Range:pp. 2961-2971
EditorsEmailEditor's ORCID iD
Publisher:American Institute of Aeronautics and Astronautics (AIAA)
Keywords:CFD, FVM, low dispersion
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 - Simulation and Validation (old), E - Wind Energy (old)
Location: Göttingen
Institutes and Institutions:Institute for Aerodynamics and Flow Technology > CASE, GO
Deposited By: Bachmann, Barbara
Deposited On:27 Jan 2017 13:59
Last Modified:05 Nov 2020 17:15

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