Arbitrary-order numerical schemes for linear hyperbolic systems

Shi, Jian

dc.contributor.author	Shi, Jian	en_UK
dc.date	1992	en_UK
dc.date.accessioned	2005-11-23T12:21:47Z
dc.date.available	2005-11-23T12:21:47Z
dc.date.issued	1992	en_UK
dc.identifier.uri	https://dspace.lib.cranfield.ac.uk/handle/1826/189
dc.description.abstract	This report is an extension of the work carried out in [16]. In [16] we defined arbitrary-order numerical methods for model scalar hyperbolic equation. In this report we extended these methods to linear hyperbolic systems where waves can propagate in both directions. First, we define a generalized numerical formula which can accommodate arbitrary wave speeds for scalar advection equation. Then to illustrate its application, we derive three, four, and five point generalization numerical schemes. Finally, according to the theory of linear systems, we extend the generalized schemes to linear hyperbolic systems in a straight forward manner.	en_UK
dc.description.sponsorship	CIT	en_UK
dc.format.extent	1963 bytes
dc.format.extent	396084 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;9211	en_UK
dc.relation.ispartofseries	CIT/CoA/R;9211	en_UK
dc.title	Arbitrary-order numerical schemes for linear hyperbolic systems	en_UK
dc.type	Technical Report	en_UK