The numerical simulation of wind-wave interaction

The numerical simulation of wind-wave interaction
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风浪相互作用的数值模拟

DOI:
10.1017/s0022112078001767
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发表时间:
1978
影响因子:
3.7
通讯作者:
D. Chalikov
D. Chalikov
中科院分区:
工程技术2区
文献类型:
--
作者:
D. Chalikov

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两层流的Navier-Stokes方程被写在曲线坐标系中,其中高度从界面测量。提出了一种技术,平均方程的合奏波表面是不是很不同。包括表面位移速率和斜率偏差在内的力矩被降低。假设平均方程描述了大尺度速度场的演化。湍流速度场的矩使用湍流粘性的各向同性系数进行参数化,从尺寸上考虑,湍流粘性的各向同性系数表示为从界面向上和向下线性增长的长度尺度和湍流动能。在不考虑坐标系的曲线性的情况下,导出了确定湍流能量演化的方程。通过对方程进行数值积分,模拟了风洞中的实验室实验。结果进行了比较与测量。
The Navier-Stokes equations for a two-layer flow are written in a curvilinear system of co-ordinates in which the height is measured from the interface. A technique for averaging the equations over an ensemble of wave surfaces which are not very different from each other is proposed. Moments which include deviations in the rate of surface displacement and in the slopes are dropped. It is assumed that the averaged equations describe the evolution of a large-scale velocity field. The moments of the turbulent velocity field are parameterized using the isotropic coefficient of turbulent viscosity, which, from dimensional considerations, is expressed in terms of the length scale growing linearly upwards and downwards from the interface and the turbulent kinetic energy. The equation defining the evolution of turbulent energy is derived without allowing for the curvilinearity of the system of co-ordinates. Laboratory experiments in a wind-water tunnel are simulated by integrating the equations numerically. The results are compared with measurements.