A bi-hyperbolic finite volume method on quadrilateral meshes
Research output: Contribution to journal › Article
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.
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.
Details
| Authors | |
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| Organisations | |
| Research areas and keywords | Subject classification (UKÄ) – MANDATORY
Keywords
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| Original language | English |
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| Pages (from-to) | 237-260 |
| Journal | Journal of Scientific Computing |
| Volume | 26 |
| Issue number | 2 |
| Publication status | Published - 2006 |
| Publication category | Research |
| Peer-reviewed | No |
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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