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Finite Volume Methods on Quadrilateral and Moving Meshes

Svensson, Fredrik LU (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)
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author
supervisor
opponent
  • Professor Jeltsch, Rolf, ETH, Zurich, Switzerland
organization
publishing date
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},
  language     = {eng},
  publisher    = {Numerical Analysis, Lund University},
  school       = {Lund University},
  title        = {Finite Volume Methods on Quadrilateral and Moving Meshes},
  year         = {2006},
}