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

Löwe, Johannes and Probst, Axel and Knopp, Tobias and Kessler, Roland (2015) A Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite-Volume Flow Solvers. AIAA SciTech 2015, 04. – 08. Jan. 2015, Kissimmee, FL, USA. doi: 0.2514/6.2015-0815.

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Official URL: http://arc.aiaa.org/doi/pdf/10.2514/6.2015-0815


A new low-dissipation low-dispersion second-order scheme suitable for unstructured finite-volume flow solvers is presented which 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 in formation for computing face-values of the fluxes and to use this additional degree of freedom to improve the dispersion properties of the scheme. We motivate the scheme 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. Note: This paper is jointly published with a companion paper by Probst et al., where the low-dissipation low-dispersion 2nd-order scheme is applied to scale-resolving simulations of a channel flow, the backward-facing step flow, the flow around a rudimentary landing gear and around a 3-element airfoil near stall.

Item URL in elib:https://elib.dlr.de/95975/
Document Type:Conference or Workshop Item (Speech)
Title:A Low-Dissipation Low-Dispersion Second-Order Scheme for Unstructured Finite-Volume Flow Solvers
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Refereed publication:Yes
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Page Range:pp. 1-12
Series Name:Conference Proceedings online
Keywords:CFD, FVM, low dispersion
Event Title:AIAA SciTech 2015
Event Location:Kissimmee, FL, USA
Event Type:international Conference
Event Dates:04. – 08. Jan. 2015
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)
Location: Göttingen
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > C²A²S²E - Center for Computer Applications in AeroSpace Science and Engineering
Deposited By: Micknaus, Ilka
Deposited On:28 Apr 2015 16:40
Last Modified:28 Apr 2015 16:40

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