Arbitrary-order high resolution schemes for model hyperbolic conservation laws
| dc.contributor.author | Shi, Jian | en_UK |
| dc.date | 1992 | en_UK |
| dc.date.accessioned | 2005-11-23T12:20:21Z | |
| dc.date.available | 2005-11-23T12:20:21Z | |
| dc.date.issued | 1992 | en_UK |
| dc.description.abstract | This report investigates the general theory and methodology of high resolution numerical schemes for one-dimensional hyperbolic conservation laws. The Universal Formula from which 2-level explicit conservative arbitrary-order numerical methods can be derived is developed. This report also explores the issue of linear stability. A new approach to linear stability analysis is presented. The generalized formulation for TVD methods with stable region of -1 ≤ c ≤ 1 proposed. To demonstrate the theories, some third order and fourth order TVD methods are generated. | en_UK |
| dc.description.sponsorship | CIT | en_UK |
| dc.format.extent | 1963 bytes | |
| dc.format.extent | 2006696 bytes | |
| dc.format.mimetype | text/plain | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1826/188 | |
| dc.language.iso | en_UK | en_UK |
| dc.relation.ispartofseries | College of Aeronautics Report;9209 | en_UK |
| dc.relation.ispartofseries | CIT/CoA/R;9209 | en_UK |
| dc.title | Arbitrary-order high resolution schemes for model hyperbolic conservation laws | en_UK |
| dc.type | Technical Report | en_UK |