Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Wave refraction at an interface

Author: C. M. Ablow
Journal: Quart. Appl. Math. 18 (1960), 15-29
MSC: Primary 76.45; Secondary 76.39
DOI: https://doi.org/10.1090/qam/135022
MathSciNet review: 135022
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Abstract: A plane wave in one of two perfect gases moves toward the parallel plane interface between the gases. The wave is either continuous or headed by a shock front weak enough that entropy changes may be neglected. Using Riemann's solution of the appropriate hyperbolic partial differential equation, four equations are derived giving the details of the reflected and refracted wave motions. The equations are of first order integro-differential or implicit functional form depending on the boundary conditions and must be solved simultaneously for four functions of a single independent variable. The equations are suitable for numerical step-by-step solution.

References [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/qam/135022
Article copyright: © Copyright 1960 American Mathematical Society

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