Finite Volume Methods on Quadrilateral and Moving Meshes
(2006)- 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... (More) - 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. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/546666
- author
- Svensson, Fredrik LU
- supervisor
- opponent
-
- Professor Jeltsch, Rolf, ETH, Zurich, Switzerland
- organization
- publishing date
- 2006
- type
- Thesis
- publication status
- published
- subject
- keywords
- numerisk analys, system, kontroll, systems, control, numerical analysis, finite volume method, Datalogi, Computer science, moving mesh method, higher order reconstruction, hyperbolic conservation law
- publisher
- Numerical Analysis, Lund University
- defense location
- Room C, Centre for Mathematical Sciences, Sölvegatan 18, Lund Institute of Technology
- defense date
- 2006-05-12 13:15:00
- ISBN
- 91-628-6850-0
- 978-91-628-6850-5
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- bfdcc3a7-cfcb-48bd-8b0d-431c69864b20 (old id 546666)
- date added to LUP
- 2016-04-01 16:23:38
- date last changed
- 2018-11-21 20:41:05
@phdthesis{bfdcc3a7-cfcb-48bd-8b0d-431c69864b20,
abstract = {{The topic of this thesis is the study of finite volume methods for<br/><br>
<br/><br>
hyperbolic conservation laws on non-uniform meshes. A high-order<br/><br>
<br/><br>
hyperbolic reconstruction method is presented. The method is<br/><br>
<br/><br>
constructed for quadrilateral meshes, since more realistic hyperbolic<br/><br>
<br/><br>
problems involve more complicated problem domains than the standard<br/><br>
<br/><br>
rectangular ones. The method is an extension of the well known<br/><br>
<br/><br>
Piecewise Hyperbolic Method (PHM), which is known to yield sharp<br/><br>
<br/><br>
resolution around corners in the solution compared to other<br/><br>
<br/><br>
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<br/><br>
<br/><br>
computational costs. The moving mesh method employed is further developed to work with higher order reconstructions.}},
author = {{Svensson, Fredrik}},
isbn = {{91-628-6850-0}},
keywords = {{numerisk analys; system; kontroll; systems; control; numerical analysis; finite volume method; Datalogi; Computer science; moving mesh method; higher order reconstruction; hyperbolic conservation law}},
language = {{eng}},
publisher = {{Numerical Analysis, Lund University}},
school = {{Lund University}},
title = {{Finite Volume Methods on Quadrilateral and Moving Meshes}},
year = {{2006}},
}