Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Transient waves produced by a moving pressure distribution

Author: S. L. Cole
Journal: Quart. Appl. Math. 45 (1987), 51-58
MSC: Primary 76B25
DOI: https://doi.org/10.1090/qam/885167
MathSciNet review: 885167
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Abstract: This paper provides a theoretical description of the 3-dimensional flow produced by a surface pressure distribution moving in a channel at speeds such that the Froude number based on depth is near 1. The transient flow begins in a fully 3-dimensional manner, then focuses away from the distribution, due to the side walls, into predominantly 2-dimensional ``solitary'' or ``cnoidal'' waves. Two sets of these waves are generated continuously by the distribution; one set runs upstream while the other extends downstream.

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DOI: https://doi.org/10.1090/qam/885167
Article copyright: © Copyright 1987 American Mathematical Society

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