渤海海洋溢油的数学模型

建立了嵌套模式的渤海二维水动力数学模型,模型网格采用显隐交替有限差分格式(即ADI差分格式)进行计算.用追赶法逐段求解,用调和分析法计算模型的水动力边界条件,将潮汐过程计算结果与实测资料进行对比验证其结果吻合良好.溢油数学模型理论公式考虑了实时风场和表面流场作用下油膜质心的迁移和扩散范围,模拟了海上溢油油膜运动轨迹,并用水槽实验验证了公式的正确性.在水动力模型基础上应用溢油运动模式建立了海洋溢油数学模型,对风场作用和无风作用两种条件下的静止点源瞬时溢油和连续溢油运动轨迹和扩散范围进行了计算、分析和比较,并计算了有、无风场作用时移动点源连续溢油污染扩散范围,为海洋溢油数学模型的研究提供了较完整的思路.

Mathematical Model of Marine Oil Spill in Bohai

A two-dimensional nested regional hydrodynamic model of Bohai was established,in which alternating direction implicit(ADI)method was applied in discrete shallow water circulation equation and chasing method was applied in solving equation groups.The water border of the model was defined by the method of harmonic analysis,and the calculation result matched well with measured values.Oil spill schema adopted in the model described the path of the center of the spilled oil by the effect of wind and flow fields,and the result was validated in a water channel experiment.Mathematical model of marine oil spill was set up based on the hydrodynamic model and oil spill schema.Instantaneous and continuous oil spill from static point source were calculated with and without wind field,then con-tinuous oil spill from moving point source was simulated.This mathematical model provided a complete exemplifica-tion for research on oil spill on the sea.