| Title | Finite Volume Methods on Quadrilateral and Moving Meshes |
| Authors | Fredrik Svensson |
| Full-text | Available as PDF, Restricted Access |
| Year | 2006 |
| Document type | Thesis |
| Language | eng |
| Publisher | Numerical Analysis, Centre for Mathematical Sciences, Lund University |
| Abstract English | The topic of this thesis is the study of finite volume methods for<br> <br> hyperbolic conservation laws on non-uniform meshes. A high-order<br> <br> hyperbolic reconstruction method is presented. The method is<br> <br> constructed for quadrilateral meshes, since more realistic hyperbolic<br> <br> problems involve more complicated problem domains than the standard<br> <br> rectangular ones. The method is an extension of the well known<br> <br> Piecewise Hyperbolic Method (PHM), which is known to yield sharp<br> <br> resolution around corners in the solution compared to other<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> computational costs. The moving mesh method employed is further developed to work with higher order reconstructions. |
| Keywords | numerisk analys, system, kontroll, systems, control, numerical analysis, finite volume method, Datalogi, Computer science, moving mesh method, higher order reconstruction, hyperbolic conservation law, |
| ISBN/ISSN/Other | ISSN: 1404-0034 ISBN: 978-91-628-6850-5 |
Questions: webmaster
Last update: 2013-04-11
Centre for Mathematical Sciences, Box 118, SE-22100, Lund. Telefon: +46 46-222 00 00 (vx)