Viscous potential free-surface flows in a fluid layer of finite depth
Viscous potential free-surface flows in a fluid layer of finite depth
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DOI：
10.1016/j.crma.2007.06.007
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发表时间：
2007-05
期刊：
影响因子：
--
通讯作者：
D. Dutykh;F. 9. Cachan;Cmla
中科院分区：
文献类型：
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作者：
D. Dutykh;F. 9. Cachan;Cmla
它示出了如何使用经典的势流方法来模拟弱耗散的自由表面流。将Helmholtz-Leray分解应用于线性化的三维Navier-Stokes方程。控制方程采用傅里叶-拉普拉斯变换。我们展示了如何表达的涡分量的速度只在潜在的和自由表面的高度。在底部运动边界条件中引入了一个新的非局部粘性项。所得公式很简单，不像以前的粘性势流理论（Joseph和Wang，2004）那样涉及任何修正程序。
It is shown how to model weakly dissipative free-surface flows using the classical potential flow approach. The Helmholtz–Leray decomposition is applied to the linearized 3D Navier–Stokes equations. The governing equations are treated using Fourier–Laplace transforms. We show how to express the vortical component of the velocity only in terms of the potential and free-surface elevation. A new predominant nonlocal viscous term is derived in the bottom kinematic boundary condition. The resulting formulation is simple and does not involve any correction procedure as in previous viscous potential flow theories (Joseph and Wang, 2004).