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Goal-Oriented Mesh Adaptation using a Dissipation-Based Error Indicator

Dwight, Richard (2007) Goal-Oriented Mesh Adaptation using a Dissipation-Based Error Indicator. International Journal of Numerical Methods in Fluids. DOI: 10.1002/fld.1582

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Abstract

The accuracy of functionals of solutions of the Euler equations, solved using a finite volume code, are examined under grid refinement. It is shown that a commonly used adaptation indicator based on local solution gradients is ineffective in reducing functional error for flows with supersonic regions. A novel indicator is introduced which attempts to quantify that part of the error in the functional due to the explicitly added dissipation present in the numerical flux. The scheme is considerably simpler and computationally cheaper than other recently proposed a posteriori error estimators for finite volume schemes, but does not account for all sources of error. In mind of this, emphasis is placed on numerical evaluation of the performance of the scheme, and it is shown to be extremely effective in both estimating and reducing error for a wide range of flows.

Item URL in elib:https://elib.dlr.de/50703/
Document Type:Article
Title:Goal-Oriented Mesh Adaptation using a Dissipation-Based Error Indicator
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Dwight, RichardUNSPECIFIEDUNSPECIFIED
Date:August 2007
Journal or Publication Title:International Journal of Numerical Methods in Fluids
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
DOI :10.1002/fld.1582
Status:Published
Keywords:A posteriori error estimation; mesh adaptation; finite volume; sensitivity analysis
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:Aeronautics
DLR - Program:L - no assignment
DLR - Research theme (Project):L - no assignment (old)
Location: Braunschweig
Institutes and Institutions:Institute of Aerodynamics and Flow Technology > CASE
Deposited By: Dwight, Dr.(PH.D.) Richard
Deposited On:10 Aug 2007
Last Modified:31 Jul 2019 19:20

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