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Please use this identifier to cite or link to this item: http://dspace.lib.cranfield.ac.uk/handle/1826/189

Document Type: Technical Report
Title: Arbitrary-order numerical schemes for linear hyperbolic systems
Authors: Shi, Jian
Issue Date: 1992
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.
URI: http://hdl.handle.net/1826/189
Appears in Collections:College of Aeronautics Reports

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