A wetting and drying algorithm with a combined pressure/free-surface formulation for non-hydrostatic models
A wetting and drying algorithm with a combined pressure/free-surface formulation for non-hydrostatic models
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DOI：
10.1016/j.advwatres.2011.08.007
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发表时间：
2011-11
影响因子：
4.7
通讯作者：
S. Funke;C. Pain;S. Kramer;M. Piggott
中科院分区：
文献类型：
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作者：
S. Funke;C. Pain;S. Kramer;M. Piggott
提出了三维非流体静力Navier-Stokes方程自由面问题的干湿解法。关键思想是使用水平固定网格，并在湿区和干区自由表面上应用不同的边界条件。在潮湿地区，联合压力/自由表面运动边界条件被应用，而在干燥地区，正水位和非正常流动边界条件被强制执行。此外，还进行了垂直网格运动，以准确地表示自由表面运动。如果使用曼宁-斯特里克勒底部阻力，干燥地区剩余薄层中的非物理流动自然会被阻止。通过边界条件应用的润湿和干燥过程的处理对所使用的离散化产生很大的灵活性。具体来说，可以采用任意有限元选择和隐式时间离散方法的完全非结构化网格。所得方法质量保守、稳定、准确。它在fluid - icom[1]中实现，并通过几个理想化的测试用例和Okushiri海啸的实验室实验进行了验证。
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.