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.