Rotational Steady Waves in a Low-pressure Region

M. V. Flamarion

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.


Keywords


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

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

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Trends in Computational and Applied Mathematics

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