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Long wave interaction with a partially immersed body. Part I: Mathematical models

Khakimzyanov, Gayaz ; Dutykh, Denys

Arxiv ID: 1903.07617

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  • Nhan đề:
    Long wave interaction with a partially immersed body. Part I: Mathematical models
  • Tác giả: Khakimzyanov, Gayaz ; Dutykh, Denys
  • Chủ đề: Physics - Classical Physics ; Physics - Atmospheric And Oceanic Physics ; Physics - Computational Physics ; Physics - Fluid Dynamics ; Physics - Geophysics
  • Mô tả: 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 payed 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 approached to the gluing of solutions at the boundary is discussed as well. We propose several strategies which ensure the global conservation or continuity of some important physical quantities. Comment: Accepted to Comm. Comp. Phys.: 63 pages, 5 figures, 103 references, 1 appendix. Other author's papers can be downloaded at http://www.denys-dutykh.com/
  • Số nhận dạng: Arxiv ID: 1903.07617

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