论文部分内容阅读
本文基于二维化浅水动力学方程组,运用伽辽金加权余量法导出计算浅水环流的有限元公式.对计算区域采用三角单元剖分,用线性插值函数逼近流速及水位,使用集中质量法以代替求解大型代数方程组的过程.通过建立陆水边界位置与瞬时水位的相关关系,解决了陆水边界线移动的数学处理问题.对于运动方程中的底摩擦项和科氏力项采用隐式格式,从而改善了模型的数值稳定性. 对皮口沿岸潮流场的数值分析,较好地再现了该海区的实际流况,从而证明了本文所建立的环流模型具有良好的重现性.皮口港扩建工程流场预测应用实例说明了本模型可以用来解决小尺度潮滩海区的流场预测问题,在海洋开发活动中具有广泛的应用前景.
Based on the two-dimensional shallow hydrodynamic equations, the finite element formula for calculating the shallow water circulation is derived by using the Galerkin weighted residual method. Triangular element mesh is used to calculate the area, and the linear interpolation function is used to approximate the velocity and water level. Instead of the process of solving large algebraic equations.Through the establishment of the relationship between land-water boundary position and instantaneous water level, the mathematical problem of land-water boundary line movement is solved.For the bottom friction and Coriolis forces in the equation of motion, The numerical stability of the model is improved, and the numerical analysis of the tidal flow field near the skin mouth port, which can well reproduce the actual flow regime in the sea area, proves that the circulation model established in this paper has a good reproducibility. The application example of the flow field prediction for the extension project of PiKouJiang shows that this model can be used to solve the flow field prediction in the small scale tidal flat area and has a wide range of application prospects in the ocean development.