Finite Volume Methods on Quadrilateral and Moving Meshes

Fredrik Svensson

Research output: ThesisDoctoral Thesis (compilation)

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.
Original languageEnglish
QualificationDoctor
Awarding Institution
  • Mathematics (Faculty of Engineering)
Supervisors/Advisors
  • Schroll, Achim, Supervisor
Award date2006 May 12
Publisher
ISBN (Print)91-628-6850-0, 978-91-628-6850-5
Publication statusPublished - 2006

Bibliographical note

Defence details

Date: 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

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