Preprint
Anisotropic adaptive resolution of boundary layers for heat conduction problems
Abstract
We deal with the numerical solution of heat conduction problems featuring steep gradients. In order to solve the associated partial differential equation a finite volume technique is used and unstructured grids are employed. A discrete maximum principle for triangulations of a Delaunay type is developed. To capture thin boundary layers incorporating steep gradients an anisotropic mesh adaptation technique is implemented. Computational tests are performed for an academic problem where the exact solution is known as well as for a real world problem of a computer simulation of the thermoregulation of premature infants.
Citation
@article{urn:nbn:de:hebis:34-200604059034,
author={Breuß, Michael and Dolejsi, Vit and Meister, Andreas},
title={Anisotropic adaptive resolution of boundary layers for heat conduction problems},
year={2005}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2005$n2005 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-200604059034 3000 Breuß, Michael 3010 Dolejsi, Vit 3010 Meister, Andreas 4000 Anisotropic adaptive resolution of boundary layers for heat conduction problems / Breuß, Michael 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-200604059034=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel 7136 ##0##urn:nbn:de:hebis:34-200604059034
2006-04-05T12:22:21Z 2006-04-05T12:22:21Z 2005 urn:nbn:de:hebis:34-200604059034 http://hdl.handle.net/123456789/200604059034 5671550 bytes application/pdf eng Universität Kassel, FB 17, Mathematik/Informatik Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Numerische Mathematik Finite volume method Thermoregulation Maximum principle Anisotropic adaption 510 Anisotropic adaptive resolution of boundary layers for heat conduction problems Preprint We deal with the numerical solution of heat conduction problems featuring steep gradients. In order to solve the associated partial differential equation a finite volume technique is used and unstructured grids are employed. A discrete maximum principle for triangulations of a Delaunay type is developed. To capture thin boundary layers incorporating steep gradients an anisotropic mesh adaptation technique is implemented. Computational tests are performed for an academic problem where the exact solution is known as well as for a real world problem of a computer simulation of the thermoregulation of premature infants. open access Breuß, Michael Dolejsi, Vit Meister, Andreas Mathematische Schriften Kassel 05, 03 Mathematische Schriften Kassel 05, 03
The following license files are associated with this item:
:Urheberrechtlich geschützt