| dc.creator |
Shi, Jian |
|
| dc.date |
1992 |
|
| dc.date |
2005-11-23T12:20:21Z |
|
| dc.date |
2005-11-23T12:20:21Z |
|
| dc.date |
1992 |
|
| dc.date.accessioned |
2022-05-09T10:17:08Z |
|
| dc.date.available |
2022-05-09T10:17:08Z |
|
| dc.identifier |
http://hdl.handle.net/1826/188 |
|
| dc.identifier.uri |
https://reports.aerade.cranfield.ac.uk/handle/1826/188 |
|
| dc.description |
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. |
|
| dc.description |
CIT |
|
| dc.format |
1963 bytes |
|
| dc.format |
2006696 bytes |
|
| dc.format |
text/plain |
|
| dc.format |
application/pdf |
|
| dc.language |
en_UK |
|
| dc.relation |
College of Aeronautics Report;9209 |
|
| dc.relation |
CIT/CoA/R;9209 |
|
| dc.title |
Arbitrary-order high resolution schemes for model hyperbolic conservation laws |
|
| dc.type |
Technical Report |
|