期刊
ADVANCES IN WATER RESOURCES
卷 34, 期 11, 页码 1483-1495出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.advwatres.2011.08.007
关键词
Wetting and drying; Non-hydrostatic Navier-Stokes equations; Finite element method; Implicit time integration
资金
- UK's Engineering and Physical Science Sciences Research Council [EP/100405X/1]
- Imperial College London's Grantham Institute for Climate Change
- Fujitsu Laboratories of Europe Ltd.
- NERC [ESM010001, NE/F012594/1] Funding Source: UKRI
- Natural Environment Research Council [NE/C52101X/1, NE/C521036/1, ESM010001, NE/F012594/1] Funding Source: researchfish
A wetting and drying method for free-surface problems for the three-dimensional, non-hydrostatic Navier-Stokes equations is proposed. The key idea is to use a horizontally fixed mesh and to apply different boundary conditions on the free-surface in wet and dry zones. In wet areas a combined pressure/free-surface kinematic boundary condition is applied, while in dry areas a positive water level and a no-normal flow boundary condition are enforced. In addition, vertical mesh movement is performed to accurately represent the free-surface motion. Non-physical flow in the remaining thin layer in dry areas is naturally prevented if a Manning-Strickler bottom drag is used. The treatment of the wetting and drying processes applied through the boundary condition yields great flexibility to the discretisation used. Specifically, a fully unstructured mesh with any finite element choice and implicit time discretisation method can be applied. The resulting method is mass conservative, stable and accurate. It is implemented within Fluidity-ICOM [1] and verified against several idealized test cases and a laboratory experiment of the Okushiri tsunami. (C) 2011 Elsevier Ltd. All rights reserved.
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