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The application of a fractional steps method for the numerical solution of the shallow water equations

机译:分步法在浅水方程数值解中的应用

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A fractional steps technique is applied for the numerical solution of the shallow water equations. The method has the great advantage of solving the shallow water equations without the iterative steps involved in the multi-dimensional interpolation problems, and without the iteration associated with the intermediate step of solving the Helmholtz equation. The absence of iterative steps in the present technique makes it very suitable for problems in which small time steps and grid sizes are required (as in regional climate modeling), and the simplicity of the method makes it suitable to parallel computer. (D 2004 Elsevier B.V. All rights reserved.
机译:分步技术被应用于浅水方程的数值解。该方法具有解决浅水方程组的巨大优点,而无需涉及多维插值问题的迭代步骤,也不需要与解决亥姆霍兹方程组的中间步骤相关的迭代。本技术中没有迭代步骤,使其非常适合于需要较小的时间步长和网格大小的问题(如在区域气候模型中),并且该方法的简单性使其适合于并行计算机。 (D 2004 Elsevier B.V.保留所有权利。

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