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Integration of a Linear Hyperbolic Equation

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Computational Aerodynamics and Fluid Dynamics

Part of the book series: Scientific Computation ((SCIENTCOMP))

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Abstract

Hyperbolic PDEs are associated with wave phenomena and propagation. A vibrating string, a vibrating column of air in a wind instrument, supersonic flow and shock waves, are some examples of physical phenomena described by hyperbolic equations. We will limit ourselves in this chapter to one-dimensional unsteady and two-dimensional steady model problems, governed by the linear convection equation and the wave equation respectively. The two model equations have been studied in the previous chapter and shown to be of hyperbolic type.

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© 2002 Springer-Verlag Berlin Heidelberg

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Chattot, JJ. (2002). Integration of a Linear Hyperbolic Equation. In: Computational Aerodynamics and Fluid Dynamics. Scientific Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-05064-4_5

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  • DOI: https://doi.org/10.1007/978-3-662-05064-4_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07798-2

  • Online ISBN: 978-3-662-05064-4

  • eBook Packages: Springer Book Archive

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