分步分层拟三维水流数学模型及其在廉州湾潮流计算中的应用
Split step and layered quasi-three-dimensional mathematical model of flow and its application to tide current calculation in the Lianzbou Bay
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摘要: 以Navier-Stokes方程为基础,经代数坐标变换导出模式方程,然后在该坐标系下将三维流场进行垂直分层,并在每一层内积分模式方程。在数值模拟求解方面,采用分步、特征差分近似与Galerkin集中质量有限元相结合的方法进行求解。在实际应用方面,对广西廉州湾潮流进行了三维模拟计算。Abstract: Based on Navier-Stokes equation, the model equation has been deduced through algebraic coordinate transformation, then under this coordinate, the three-dimensional flow field is split into many layers along its depth and the model equation in each layer is integrated. As to numerical solving method, split step characteristic difference approximation and Galerkin lumping coefficient matrix definite element method are utilized. In a practical application,three-dimensional calculation to the tide current in the Lianzhou Bay, Zhuang Autonomous Region of Guangxi is done.
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