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CONGESTED SHALLOW WATER MODEL: TRAPPED AIR POCKETS MODELING

delete2023-11-27
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M
Martin Parisot *
DOI:10.1137/22M1514908delete
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摘要

摘要

En 中文
This work is concerned with the modeling and numerical resolution in a multidimensional framework of the interaction between the congested shallow water model and a polytropic air pocket dynamics. A weak coupling strategy is used, and the connectivity of the air pockets is obtained by comparing the horizontal support of the pockets. The relevance of the model and the robustness of the numerical strategy are illustrated by several numerical simulations in a onedimensional framework. In particular, the method seems well suited to the numerical study of the hydraulics of underground rivers and coastal caves, such as the Cosquer Cave, and to the simulation of marine energy converters, such as the oscillating water column.
Keyword:
congested shallow water model
liquid-gas two-phase problem
nonlinear integro-differential equations
pipe flows
immersed cave hydrodynamics
renewable marine energy

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

机构

C
centre national de la recherche scientifique (cnrs)
学者数:
24.5W
论文数: 18.2W
被引数: 279
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