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Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models

Long Wave Interaction with a Partially Immersed Body. Part I: Mathematical Models
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Year:    2020

Author:    Gayaz Khakimzyanov, Denys Dutykh

Communications in Computational Physics, Vol. 27 (2020), Iss. 2 : pp. 321–378

Abstract

In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general mathematical formulation for this problem is presented in the framework of a hierarchy of mathematical models. Namely, in this first part we formulate the problem at every hierarchical level. The special attention is paid to fully nonlinear and weakly dispersive models since they are most likely to be used in practice. For this model we have to consider separately the inner (under the body) and outer domains. Various approaches to the gluing of solutions at the boundary are discussed as well. We propose several strategies which ensure the global conservation or continuity of some important physical quantities.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2018-0294

Communications in Computational Physics, Vol. 27 (2020), Iss. 2 : pp. 321–378

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    58

Keywords:    Floating body wave/body interaction nonlinear dispersive waves free surface flows long waves.

Author Details

Gayaz Khakimzyanov

Denys Dutykh

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