arXiv physics/07020342007-02-15physics.ao-phphysics.comp-phphysics.flu-dyn

在“Tsunami and非线性波“一书中：Hasselmann方程的数值验证

In a book "Tsunami and Nonlinear Waves": Numerical Verification of the Hasselmann equation

Alexander O. Korotkevich, Andrei N. Pushkarev, Don Resio, Vladimir E. Zakharov

备注：: 41 pages, 42 figures, accepted for publication in a book: "Tsunami and Nonlinear Waves", Kundu, Anjan (Editor), Springer 2007, Approx. 325 p., 170 illus., Hardcover, ISBN: 978-3-540-71255-8, available: May 2007 Replaced figures by high quality files in second version

摘要：

本文的目的是对弱湍流理论进行数值验证。我们用两种不同的方法对非线性相互作用的自由重力波（膨胀）系综进行了数值模拟：描述具有自由表面的理想流体势流的原始动力学方程的解和在弱湍流理论框架下描述波系综的动力学Hasselmann方程的解。结果表明，弱湍流方法具有较好的适用性。

英文摘要：

The purpose of this article is numerical verification of the thory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial dynamical equations describing potential flow of the ideal fluid with a free surface and, solution of the kinetic Hasselmann equation, describing the wave ensemble in the framework of the theory of weak turbulence. Comparison of the results demonstrates pretty good applicability of the weak turbulent approach.

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