An implicit wetting and drying approach for non-hydrostatic baroclinic flows in high aspect ratio domains
An implicit wetting and drying approach for non-hydrostatic baroclinic flows in high aspect ratio domains
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DOI：
10.1016/j.advwatres.2017.02.004
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发表时间：
2013-12
影响因子：
4.7
通讯作者：
A. Candy
中科院分区：
文献类型：
--
作者：
A. Candy
一种新的方法来模拟自由表面流动的开发，使，第一次，3D一致的非流体静力学斜压物理，润湿和干燥的大纵横比的空间域，地球物理系统。这是物理模型集成的关键，以允许在单个一致的任意非结构化多尺度和多物理场动力学模型中进行无缝模拟。一个高阶连续表示是通过一般的Galerkin有限元公式，保证当地和全球的质量守恒，和一致的示踪剂平流。一个灵活的空间离散允许符合域边界和可变的空间分辨率，而非典型的使用全隐式时间积分，确保计算效率。值得注意的是，这带来了自然列入非流体静力学斜压物理和考虑的垂直惯性洪水建模在全三维域。这在改进地球物理领域的淹没过程建模方面具有应用，在这些领域中，动力学在相对于垂直分辨率的大范围水平范围内进行，例如在海啸的演变中，或者在包含各种尺度的复杂几何结构的城市环境中。
A new approach to modelling free surface flows is developed that enables, for the first time, 3D consistent non-hydrostatic baroclinic physics that wets and dries in the large aspect ratio spatial domains that characterise geophysical systems. This is key in the integration of physical models to permit seamless simulation in a single consistent arbitrarily unstructured multiscale and multi-physics dynamical model. A high order continuum representation is achieved through a general Galerkin finite element formulation that guarantees local and global mass conservation, and consistent tracer advection. A flexible spatial discretisation permits conforming domain bounds and a variable spatial resolution, whilst atypical use of fully implicit time integration ensures computational efficiency. Notably this brings the natural inclusion of non-hydrostatic baroclinic physics and a consideration of vertical inertia to flood modelling in the full 3D domain. This has application in improving modelling of inundation processes in geophysical domains, where dynamics proceeds over a large range of horizontal extents relative to vertical resolution, such as in the evolution of a tsunami, or in urban environments containing complex geometric structures at a range of scales.