Arbitrary-order high resolution schemes for model hyperbolic conservation laws

Shi, Jian

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.identifier.uri	http://hdl.handle.net/1826/188
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.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