Abstract
The topic of this thesis is the study of finite volume methods for
hyperbolic conservation laws on non-uniform meshes. A high-order
hyperbolic reconstruction method is presented. The method is
constructed for quadrilateral meshes, since more realistic hyperbolic
problems involve more complicated problem domains than the standard
rectangular ones. The method is an extension of the well known
Piecewise Hyperbolic Method (PHM), which is known to yield sharp
resolution around corners in the solution compared to other
reconstruction methods of the same order. Furthermore, the method is applied in a moving mesh adaptive framework in order to better resolve discontinuities without increasing
computational costs. The moving mesh method employed is further developed to work with higher order reconstructions.
hyperbolic conservation laws on non-uniform meshes. A high-order
hyperbolic reconstruction method is presented. The method is
constructed for quadrilateral meshes, since more realistic hyperbolic
problems involve more complicated problem domains than the standard
rectangular ones. The method is an extension of the well known
Piecewise Hyperbolic Method (PHM), which is known to yield sharp
resolution around corners in the solution compared to other
reconstruction methods of the same order. Furthermore, the method is applied in a moving mesh adaptive framework in order to better resolve discontinuities without increasing
computational costs. The moving mesh method employed is further developed to work with higher order reconstructions.
Original language | English |
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Qualification | Doctor |
Awarding Institution |
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Supervisors/Advisors |
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Award date | 2006 May 12 |
Publisher | |
ISBN (Print) | 91-628-6850-0, 978-91-628-6850-5 |
Publication status | Published - 2006 |
Bibliographical note
Defence detailsDate: 2006-05-12
Time: 13:15
Place: Room C, Centre for Mathematical Sciences, Sölvegatan 18, Lund Institute of Technology
External reviewer(s)
Name: Jeltsch, Rolf
Title: Professor
Affiliation: ETH, Zurich, Switzerland
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The information about affiliations in this record was updated in December 2015.
The record was previously connected to the following departments: Numerical Analysis (011015004)
Subject classification (UKÄ)
- Mathematics
Free keywords
- numerisk analys
- system
- kontroll
- systems
- control
- numerical analysis
- finite volume method
- Datalogi
- Computer science
- moving mesh method
- higher order reconstruction
- hyperbolic conservation law