摘要
本文基于剖开算子有限元法,提出了一个求解具有自由表面的平面紊流速度场的数值模型,该模型用水深平均的k—ε紊流模型确定雷诺应力,用传播方程代替“刚盖近似”来处理自由表面。算例表明,这一模型能有效地解决控制方程中的非线性问题和自由表面边界问题,并能适应复杂的边界形状。
A depth-averaged numerical model is developed for the calculation of the turbulent flow with free surface in this paper. The model employs a depth-averaged version of k-ε turbulent model to determine Reynolds stresses, and the propagation equation replaces 'rigid-lid' approximation to treat the free surface. Differential transport equations are solved by an efficient operator-splitting finite element method (OSFEM) which avoids the nonlinear problem of the equations and flexibly fits complex boundary, The generalization and reasonableness of the numerical model are demonstrated through some computational examples.
