二维相位分辨模型模拟三维波的统计特性

IF 1.1 4区 物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY
D. Chalikov
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引用次数: 0

摘要

进一步证明了二维方法在三维深水势波模拟中的有效性。二维模型基于与三维相同的两个表面条件,但建议使用拉普拉斯方程的表面投影而不是三维拉普拉斯方程(通常用于计算表面垂直速度)。这个方程不是封闭的,因为它同时包含了垂直速度和垂直导数。关闭方案是基于考虑垂直结构的非线性分量的速度势。前面已经证明,表面垂直速度及其导数与依赖于问题的某些积分参数的系数线性相关。对于相对简单的积分特征和谱,二维模型在再现波场统计特性方面的适用性已经得到证明。本文对全三维模型和现有的二维模型产生的更复杂的统计结果进行了比较。高程高阶矩和地表垂直速度高阶矩与其他特征吻合较好,证明该模型适用于多模波场的统计结构再现,精度令人满意。2-D模型的主要优点是它的运行速度比类似设置的3-D模型快30-80倍。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Statistical Properties of 3-D Waves Simulated with 2-D Phase-Resolving Model

Statistical Properties of 3-D Waves Simulated with 2-D Phase-Resolving Model

Further evidences of effectiveness of а two-dimensional approach to modeling of three-dimensional deep-water potential waves are given. The 2-D model is based on the same two surface conditions as 3-D, but instead of а 3-D Laplace equation (used routinely for calculation of surface vertical velocity) the surface projection of Laplace equation is suggested for use. This equation is not closed, since it contains both the vertical velocity and its vertical derivative. The closing scheme is based on consideration of vertical structure of a nonlinear component of the velocity potential. It was shown before that the surface vertical velocity and its derivative are linearly connected with a coefficient depending on some integral parameters of the problem. The applicability of the 2-D model for reproducing statistical properties of wave field was demonstrated before for relatively simple integral characteristics and spectra. The paper is devoted to comparison of more complicated statistical results generated by full 3-D model and current 2-D model. A good agreement between the high order moments for elevation and surface vertical velocity and some other characteristics proves the applicability of the model for reproducing of statistical structure of a multimode wave field with satisfactory accuracy. The main advantage of 2-D model is that it runs 30–80 times faster than a 3-D model with similar setting.

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来源期刊
Physics of Wave Phenomena
Physics of Wave Phenomena PHYSICS, MULTIDISCIPLINARY-
CiteScore
2.50
自引率
21.40%
发文量
43
审稿时长
>12 weeks
期刊介绍: Physics of Wave Phenomena publishes original contributions in general and nonlinear wave theory, original experimental results in optics, acoustics and radiophysics. The fields of physics represented in this journal include nonlinear optics, acoustics, and radiophysics; nonlinear effects of any nature including nonlinear dynamics and chaos; phase transitions including light- and sound-induced; laser physics; optical and other spectroscopies; new instruments, methods, and measurements of wave and oscillatory processes; remote sensing of waves in natural media; wave interactions in biophysics, econophysics and other cross-disciplinary areas.
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