Long wave interaction with a partially immersed body. Part I: Mathematical models
arXiv:1903.07617 · doi:10.1016/j.ijheatmasstransfer.2019.01.025
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 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.
arXiv commentAccepted 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/
References in corpus (13)
- The VOLNA code for the numerical modelling of tsunami waves: generation, propagation and inundation
- Finite volume schemes for dispersive wave propagation and runup
- Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
- Practical use of variational principles for modeling water waves
- Stable explicit schemes for simulation of nonlinear moisture transfer in porous materials
- An improved explicit scheme for whole-building hygrothermal simulation
- Accurate numerical simulation of moisture front in porous material
- Non-dispersive conservative regularisation of nonlinear shallow water (and isothermal Euler) equations
- On the solution of coupled heat and moisture transport in porous material
- An adaptive simulation of nonlinear heat and moisture transfer as a boundary value problem
- Dispersive wave runup on non-uniform shores
- A Stabilised Nodal Spectral Element Method for Fully Nonlinear Water Waves, Part 2: Wave-body interaction
- Peregrine's system revisited
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