Internal Wave-Maker for Navier-Stokes Equations Models
Internal Wave-Maker for Navier-Stokes Equations Models
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DOI：
10.1061/(asce)0733-950x(1999)125:4(207
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发表时间：
1999-07
期刊：
影响因子：
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通讯作者：
P. Lin;P. Liu
中科院分区：
文献类型：
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作者：
P. Lin;P. Liu
不可压缩流体的流动运动可以用带有连续性方程的N-S方程来描述，该方程要求速度矢量零发散(即∂ui/∂xi=0)。提出了一种利用质量守恒方程的质量源函数，即∂UI∂xi=f(x，t)，在内流区产生特定波列的新方法。这种新方法消除了在强反射波存在的情况下，通过入流边界指定入射波的困难。相反，在模拟中只需要开放(辐射)边界条件。通过使用不同的源函数，作者能够产生各种波列，包括线性单色波、不规则波、斯托克斯波、孤立波和椭圆波。数值结果与解析解的比较表明，该方法不仅能准确地产生小振幅波，而且能在中、浅水中准确地产生非线性波。
The flow motion of incompressible fluid can be described by Navier-Stokes equations with the continuity equation, which requires zero divergence of the velocity vector (i.e., ∂ui/∂xi = 0). A new method is developed to generate specific wave trains by using designed mass source functions for the equation of mass conservation, i.e., ∂ui∂xi = f(x, t), in the internal flow region. The new method removes the difficulty in specifying incident waves through an inflow boundary with the presence of strong wave reflection. Instead, only the open (radiation) boundary condition is needed in the simulation. By using different source functions, the writers are able to generate various wave trains, including the linear monochromatic wave, irregular wave, Stokes wave, solitary wave, and cnoidal wave. By comparing numerical results with analytical solutions, the writers have shown that the proposed method can accurately generate not only small amplitude waves but also nonlinear waves in both intermediate and shallow water...