The lattice Boltzmann method as a basis for ocean circulation modeling
The lattice Boltzmann method as a basis for ocean circulation modeling
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DOI：
10.1357/002224099764805174
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发表时间：
1999-05
影响因子：
0.5
通讯作者：
R. Salmon
中科院分区：
文献类型：
--
作者：
R. Salmon
我们构建了一个格子玻尔兹曼模型的单层，“减少重力”的海洋在一个正方形的盆地，浅水或行星地转动力学，边界条件没有滑动或没有应力。当移动的上层的体积足够小时，静止的下层在北方风环流的广阔区域上露出水面，分离和孤立的西部边界流的模式与Veronis（1973）的理论一致。由于行星地转动力学忽略了惯性，行星地转方程的格子玻尔兹曼解不需要具有高度对称性的格子来正确表示雷诺应力。这一性质使行星地转动力学在计算上比原始方程有明显的优势，特别是在三维空间。
We construct a lattice Boltzmann model of a single-layer, ‘ ‘ reduced gravity’ ’ ocean in a square basin, with shallow water or planetary geostrophic dynamics, and boundary conditions of no slip or no stress. When the volume of the moving upperlayer is sufficiently small, the motionless lower layer outcrops over a broad area of the northern wind gyre, and the pattern of separated and isolated western boundary currents agrees with the theory of Veronis (1973). Because planetary geostrophic dynamics omit inertia, lattice Boltzmann solutions of the planetary geostrophic equations do not require a lattice with the high degree of symmetry needed to correctly represent the Reynolds stress. This property gives planetary geostrophic dynamics a signie cant computational advantage over the primitive equations, especially in three dimensions.