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Flow over an obstruction with the generation of nonlinear waves on the free surface: Limiting regimes

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Abstract

A numerical-analytic method of calculating a subcritical flow over an obstruction is proposed. This method is based on the identification of the asymptotics of the behavior of a wave train in unknown functions. The method makes it possible to calculate both steep and long waves. The effectiveness of the method is demonstrated for the problem of flow over a vortex. The concept of the limiting flow regime as a regime with the maximum value of the perturbation parameter for which steady flow still persists is introduced. Various types of the limiting regimes obtained in the calculations are analyzed.

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Authors
  1. D. V. Maklakov
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Additional information

Kazan. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 108–117, March–April, 1995.

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Maklakov, D.V. Flow over an obstruction with the generation of nonlinear waves on the free surface: Limiting regimes. Fluid Dyn 30, 245–253 (1995). https://doi.org/10.1007/BF02029837

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  • DOI: https://doi.org/10.1007/BF02029837

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