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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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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/ | ||||||||||||
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| 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: |
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| 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: |
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| 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 (old) | ||||||||||||
| 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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