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On the usage of finite differences for the development of discrete linearised and adjoint CFD solvers

Engels-Putzka, Anna and Backhaus, Jan and Frey, Christian (2014) On the usage of finite differences for the development of discrete linearised and adjoint CFD solvers. In: Proceedings of the 6th. European Conference on Computational Fluid Dynamics - ECFD VI, pp. 5058-5070. 6th. European Conference on Computational Fluid Dynamics - ECFD VI, 20.-25. Juli 2014, Barcelona, Spanien.

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Official URL: http://www.wccm-eccm-ecfd2014.org/admin/files/filePaper/p1796.pdf

Abstract

In this paper we discuss the usage of finite differences for the computation of the flux Jacobian in the framework of a discrete adjoint or time-linearised flow solver, in particular the associated choice of an appropriate step size. For comparison, we apply algorithmic differentiation to obtain an exact flux Jacobian. It turns out that the results depend strongly on the choice of the slope limiter. A careful choice of this function is crucial for computations with exact flux linearisations as well as for finite difference approximations.

Item URL in elib:https://elib.dlr.de/90138/
Document Type:Conference or Workshop Item (Speech)
Title:On the usage of finite differences for the development of discrete linearised and adjoint CFD solvers
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Engels-Putzka, Annaanna.engels-putzka (at) dlr.deUNSPECIFIED
Backhaus, Janjan.backhaus (at) dlr.deUNSPECIFIED
Frey, ChristianChristian.Frey (at) dlr.deUNSPECIFIED
Date:July 2014
Journal or Publication Title:Proceedings of the 6th. European Conference on Computational Fluid Dynamics - ECFD VI
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Page Range:pp. 5058-5070
Editors:
EditorsEmail
Onate, EugenioUniversitat Politècnica de Catalunya
Oliver, XavierUniversitat Politècnica de Catalunya
Huerta, AntonioUniversitat Politècnica de Catalunya
Status:Published
Keywords:Time-linearised Methods, Adjoint Methods, Finite Differences, Algorithmic Differentiation
Event Title:6th. European Conference on Computational Fluid Dynamics - ECFD VI
Event Location:Barcelona, Spanien
Event Type:international Conference
Event Dates:20.-25. Juli 2014
Organizer:Spanish Association for Numerical Methods in Engineering (SEMNI)
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:propulsion systems
DLR - Research area:Aeronautics
DLR - Program:L ER - Engine Research
DLR - Research theme (Project):L - Virtual Engine and Validation methods
Location: Köln-Porz
Institutes and Institutions:Institute of Propulsion Technology > Numerical Methodes
Deposited By: Engels-Putzka, Anna
Deposited On:11 Aug 2014 07:13
Last Modified:31 Jul 2019 19:47

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