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Efficient and Robust Algorithms for Solution of the Adjoint Compressible Navier–Stokes Equations with Applications

Dwight, Richard and Brezillon, Joel (2008) Efficient and Robust Algorithms for Solution of the Adjoint Compressible Navier–Stokes Equations with Applications. International Journal for Numerical Methods in Fluids (60), pp. 365-389. Wiley InterScience. DOI: 10.1002/fld.1894

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Official URL: http://dx.doi.org/10.1002/fld.1894

Abstract

The complete discrete adjoint equations for an unstructured finite volume compressible Navier–Stokes solver are discussed with respect to the memory and time efficient evaluation of their residuals, and their solution. It is seen that application of existing iteration methods for the non-linear equation—suitably adjointed—has a property of guaranteed convergence provided that the non-linear iteration is well behaved. For situations where this is not the case, in particular for strongly separated flows, a stabilization technique based on the Recursive Projection Method is developed. This method additionally provides the dominant eigenmodes of the problem, allowing identification of flow regions that are unstable under the basic iteration. These are found to be regions of separated flow. Finally, an adjoint-based optimization with 96 design variables is performed on a wing–body configuration. The initial flow has large regions of separation, which are significantly diminished in the optimized configuration.

Item URL in elib:https://elib.dlr.de/66596/
Document Type:Article
Title:Efficient and Robust Algorithms for Solution of the Adjoint Compressible Navier–Stokes Equations with Applications
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Dwight, RichardRichard.Dwight (at) dlr.deUNSPECIFIED
Brezillon, JoelJoel.Brezillon (at) dlr.deUNSPECIFIED
Date:August 2008
Journal or Publication Title:International Journal for Numerical Methods in Fluids
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
DOI :10.1002/fld.1894
Page Range:pp. 365-389
Publisher:Wiley InterScience
Status:Published
Keywords:discrete adjoint; recursive projection method; eigensystem analysis; aerodynamic optimisation
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Simulation & Validation (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Brezillon, Joel
Deposited On:25 Nov 2010 09:22
Last Modified:31 Jul 2019 19:29

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