Rotational Steady Waves in a Low-pressure Region

Authors

DOI:

https://doi.org/10.5540/tcam.2022.023.02.00273

Keywords:

Steady waves, rotational waves, shear flow, Euler equations.

Abstract

Nonlinear steady rotational waves in a low-pressure region are investigated. The problem is formulated in a simplified canonical domain through the use of a conformal mapping, which flattens the free surface. Steady waves are computed numerically using a Newton’s method and classified into three types. Besides, our results indicate that there is a region in which steady waves do not exist. The thickness of this region is compared with the one predicted by the weakly nonlinear, weakly dispersive regime.

Author Biography

M. V. Flamarion, Universidade Federal Rural de Pernambuco

Mathematical Departament

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Published

2022-06-27

How to Cite

Flamarion, M. V. (2022). Rotational Steady Waves in a Low-pressure Region. Trends in Computational and Applied Mathematics, 23(2), 273–282. https://doi.org/10.5540/tcam.2022.023.02.00273

Issue

Vol. 23 No. 2 (2022)

Section

Original Article

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