A bi-hyperbolic finite volume method on quadrilateral meshes
(2006) In Journal of Scientific Computing 26(2). p.237-260- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/527277
- author
- Schroll, Achim LU and Svensson, Fredrik LU
- organization
- publishing date
- 2006
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- high resolution finite volume scheme, quadrilateral mesh., hyperbolic reconstruction, Conservation law
- in
- Journal of Scientific Computing
- volume
- 26
- issue
- 2
- pages
- 237 - 260
- publisher
- Springer
- external identifiers
-
- scopus:32944460299
- ISSN
- 1573-7691
- 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), Centre for Mathematical Sciences (011015000)
- id
- ec8c5ef8-1cee-4123-a4c5-cf1b253b7a4f (old id 527277)
- alternative location
- http://www.hyke.org/preprint/2004/13/130.pdf
- date added to LUP
- 2016-04-04 08:54:16
- date last changed
- 2022-01-29 07:34:11
@article{ec8c5ef8-1cee-4123-a4c5-cf1b253b7a4f, abstract = {{A non-oscillatory, high resolution reconstruction method<br/><br> on quadrilateral meshes in 2D is presented. It is a two-dimensional extension of Marquina's hyperbolic method.<br/><br> 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. <br/><br> <br/><br> Numerical experiments are presented and the computational results are compared to experimental data.}}, author = {{Schroll, Achim and Svensson, Fredrik}}, issn = {{1573-7691}}, keywords = {{high resolution finite volume scheme; quadrilateral mesh.; hyperbolic reconstruction; Conservation law}}, language = {{eng}}, number = {{2}}, pages = {{237--260}}, publisher = {{Springer}}, series = {{Journal of Scientific Computing}}, title = {{A bi-hyperbolic finite volume method on quadrilateral meshes}}, url = {{https://lup.lub.lu.se/search/files/5204172/624051.pdf}}, volume = {{26}}, year = {{2006}}, }