平面二维流场中质点运动的可视化

Visualization of the Motion of Particles in Tidal Flow

对平面二维流场中质点运动的可视化进行了研究,提出了一种适用于三角形非结构化网格系统中质点运动轨迹的跟踪算法。利用数值计算方法的稳定性限制条件对质点位置的搜索算法进行了优化,极大地降低了算法的时间复杂度,提高了计算效率。采用Shepard插值法求解质点的速度,四阶龙格库塔方法积分质点的运动轨迹,选用VisualFortran语言实现了质点运动的动态显示。将本文方法与平面二维潮流模型相结合,用于渤海潮流场中质点运动规律的研究,初步得出了渤海中质点运动和水交换的一些规律。

In this paper a computational method is introduced for simulating the motion of the particles in tidal flow. This method is optimized by using the limit of stability of the numerical tidal model. Visual Fortran is selected to accomplish the program. The motion of the particles in the Bohai Sea is studied by using this method, and some useful results have been obtained.