利用查尼-奥布霍夫方程的精确解模拟海洋涡流

A. Kudryavtsev, N. Myagkov
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引用次数: 0

摘要

以不同波数基本解的部分叠加形式获得了海洋的查尼-奥布霍夫方程的新精确解。由于解中存在载流子带流,因此满足了海洋的边界条件。由于波数和其他解法参数的选择具有任意性,因此可以使用傅里叶级数模拟固定长度间隔上的固定海洋深度的任意流函数剖面,或使用傅里叶-贝塞尔级数模拟固定半径圆内的任意流函数剖面。我们以在圆对称情况下模拟海洋表面的高斯流函数剖面为例进行了研究。
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Modeling ocean eddies using exact solutions of the Charney–Obukhov equation
New exact solutions of the Charney–Obukhov equation for the ocean are obtained in the form of a partial superposition of elementary solutions with different wave numbers. The boundary conditions for the ocean are satisfied due to the presence of a carrier zonal flow in the solution. The existing arbitrariness in the choice of wave numbers and other solution parameters makes it possible to simulate an arbitrary stream function profile at a fixed ocean depth on an interval of a fixed length using a Fourier series or in a circle of a fixed radius using a Fourier–Bessel series. An example of modeling a Gaussian stream function profile on the ocean surface in the presence of circular symmetry is considered.
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