| Simulation of Random Waves and Associated Laminar Bottom Shear Stresses |
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| 作者单位： | Department of |
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| 基金项目： | This research was financially supported by the Science Council （Grant No. NSC 95-2221-E-006-474） |
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| 摘 要： | This work presents a new approach for simulating the random waves in viscous fluids and the associated bottom shear stresses. By generating the incident random waves in a numerical wave flume and solving the unsteady two-dimensional Navier-Stokes equations and the fully nonlinear free surface boundaiy conditions for the fluid flows in the flume, the viscous flows and laminar bottom shear stresses induced by random waves axe determined. The deterministic spectral amplitude method implemented by use of the fast Fourier transform algorithm was adopted to generate the incident random waves. The accuracy of the numerical scheme is confirmed by comparing the predicted wave spectrum with the target spectrum and by comparing the nanlerical transfer function between the shear stress and the surface elevation with the theoretical transfer function. The maximum bottom shear stress caused by random waves, computed by this wave model, is compared with that obtained by Myrhaug＇ s model （1995）. The transfer function method is also employed to determine the maximum shear stress, and is proved accurate.
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| 关 键 词： | 随机波 转移函数 Navier-Stokes方程 剪切力 |
Simulation of Random Waves and Associated Laminar Bottom Shear Stresses |
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| Authors: | Mao-Lin SHEN Ching-Jer HUANG |
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| Institution: | Department of Hydraulic and Ocean Engineering, National Cheng Kung University, Tainan 70101, China |
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| Abstract: | This work presents a new approach for simulating the random waves in viscous fluids and the associated bottom shear stresses. By generating the incident random waves in a numerical wave flume and solving the unsteady two-dimensional Navier-Stokes equations and the fully nonlinear free surface boundary conditions for the fluid flows in the flume, the viscous flows and laminar bottom shear stresses induced by random waves are determined. The deterministic spectral amplitude method implemented by use of the fast Fourier transform algorithm was adopted to generate the incident random waves. The accuracy of the numerical scheme is confirmed by comparing the predicted wave spectrum with the target spectrum and by comparing the numerical transfer function between the shear stress and the surface elevation with the theoretical transfer function. The maximum bottom shear stress caused by random waves, computed by this wave model, is compared with that obtained by Myrhaug's model (1995). The transfer function method is also employed to determine the maximum shear stress, and is proved accurate. |
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| Keywords: | random waves laminar bottom shear stresses spectra Goda-JONSWAP spectral density transfer function Navier-Stokes equations boundary-layer flows |
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