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Three-dimensional Non-hydrostatic Model for Small Amplitude Free Surface Flows with Unstructured Grid

机译:小幅度自由表面的三维非静水压模型与非结构化网格流动

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A three-dimensional,non-hydrostatic pressure,numerical model for small amplitude free surface flows is presented.The model uses semi-implicit fractional step method and the semi-Lagrangian method is used to compute the convection terms.The bottommost and topmost elements of variable height allow a faithful representation of the bed and the time-varying flee-surface,respectively.The resulting model is mass conservative,and unconditionally stable with respect to the gravity wave speed,wind stress,vertical viscosity,and bottom friction.The model is applied to two examples to simulate unsteady small amplitude free surface flows where non-hydrostatic pressures have a considerable effect on the velocity field.The newly developed model is verified against analytical solutions with excellent agreement.
机译:呈现了小幅度自由表面流量的三维,非静水压力,数值模型。模型使用半隐式分数步骤方法,并且使用半拉格朗日方法来计算对流术语。最底层和最顶部的元素可变高度允许床的忠实代表和时变的逃离表面。结果模型是质量保守的,并且相对于重力波速,风力,垂直粘度和底部摩擦是无条件的稳定性。模型应用于两个例子以模拟非静液压压力对速度场具有相当大的影响的非稳定小幅度的表面流量。新开发的模型对具有优秀协议的分析解决方案进行了验证。

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