Arbitrary-order numerical schemes for linear hyperbolic systems

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dc.creator Shi, Jian
dc.date 1992
dc.date 2005-11-23T12:21:47Z
dc.date 2005-11-23T12:21:47Z
dc.date 1992
dc.date.accessioned 2022-05-09T10:17:10Z
dc.date.available 2022-05-09T10:17:10Z
dc.identifier http://hdl.handle.net/1826/189
dc.identifier.uri https://reports.aerade.cranfield.ac.uk/handle/1826/189
dc.description 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.
dc.description CIT
dc.format 1963 bytes
dc.format 396084 bytes
dc.format text/plain
dc.format application/pdf
dc.language en_UK
dc.relation College of Aeronautics Report;9211
dc.relation CIT/CoA/R;9211
dc.title Arbitrary-order numerical schemes for linear hyperbolic systems
dc.type Technical Report


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