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Towards a Validated DNS-Solver by Using the DLR FLOWer-Code with a Fourth Order Finite-Difference Method

Lüdeke, Heinrich (2016) Towards a Validated DNS-Solver by Using the DLR FLOWer-Code with a Fourth Order Finite-Difference Method. DLR-Interner Bericht. DLR-IB-AS-BS-2016-44, 36 S.

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Goal of the following study is the identification and benchmarking of a compressible block-structured Navier-Stokes solver for reliable DNS-predictions (Direct Numerical Simulations) which is capable to simulate relevant cases for aerospace applications as well as to fulfill the high demands of DNS calculations. These requirements are accuracy, low dissipation, low dispersion and furthermore good parallelization properties due to computationally expensive test-cases. For this purpose a $4^{th}$-order implicit finite-difference method is chosen to resolve turbulent structures as well as transitional modes even at a limited grid-resolution. This approach has shown good results in the hypersonic regime by simulating transition-scenarios by Mack-modes directly in supersonic boundary layers. It was originally derived for Large Eddy Simulations (LES) over recent years and has proven its quality regarding the necessary properties. As a test-bed, different standard-benchmarks for DNS-verification and spacial resolution are simulated for different grids and flow-conditions, like the Taylor-Green vortex, the compressible turbulent channel-flow at two Mach~numbers, the von~Karman vortex-street under consideration of acoustic pressure waves of the periodic-hill flow. Furthermore, direct numerical simulations (DNS) of Tollmien-Schlichting waves in attached boundary layers under different conditions will be shown in comparison with local linear stability theory (LST) over smooth- or rippled surfaces of flat plates and laminar wing-profiles. For all simulations, the implicit finite-difference scheme in cell-centered formulation has demonstrated it's capabilities as an efficient and reliable tool for fully resolved turbulence and transitional simulations in different Mach-number regimes under nearly incompressible, transsonic as well as supersonic flow-conditions.

Item URL in elib:https://elib.dlr.de/107695/
Document Type:Monograph (DLR-Interner Bericht)
Title:Towards a Validated DNS-Solver by Using the DLR FLOWer-Code with a Fourth Order Finite-Difference Method
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Lüdeke, HeinrichHeinrich.Luedeke (at) dlr.deUNSPECIFIED
Date:February 2016
Refereed publication:No
Open Access:No
Gold Open Access:No
In ISI Web of Science:No
Number of Pages:36
ISSN:ISSN 1614-7790
Keywords:DNS, Navier-Stokes Solver, high-order method, finite-difference approach, pade-scheme
Institution:DLR: Institut für Aerodynamik und Strömungstechnik
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: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > Transport Aircraft
Deposited By: Lüdeke, Dr.-Ing. Heinrich
Deposited On:14 Nov 2016 14:13
Last Modified:14 Nov 2016 14:13

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