A bi-hyperbolic finite volume method on quadrilateral meshes

Research output: Contribution to journalArticle


A non-oscillatory, high resolution reconstruction method
on quadrilateral meshes in 2D is presented. It is a two-dimensional extension of Marquina's hyperbolic method.
The generalization to quadrilateral meshes allows the method to simulate realistic flow problems in complex domains. An essential point in the construction of the method is a second order accurate approximation of gradients on an irregular, quadrilateral mesh. The resulting scheme is optimal in the sense that it is third order accurate and the reconstruction requires only nearest neighbour information.

Numerical experiments are presented and the computational results are compared to experimental data.


  • Achim Schroll
  • Fredrik Svensson
Research areas and keywords

Subject classification (UKÄ) – MANDATORY

  • Mathematics


  • high resolution finite volume scheme, quadrilateral mesh., hyperbolic reconstruction, Conservation law
Original languageEnglish
Pages (from-to)237-260
JournalJournal of Scientific Computing
Issue number2
Publication statusPublished - 2006
Publication categoryResearch

Bibliographic note

The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004), Centre for Mathematical Sciences (011015000)

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