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采用传统的布朗运动粒子跟踪模型和改进的分数型布朗运动粒子跟踪模型分别研究海湾的剪切湍流的分散。认为布朗运动和分数型布朗运动的幂律法则对简单的剪切扩散预测较为精确,通过控制Hurst指数可以控制剪切分散对海湾回流区的影响。研究表明,在简单的海湾模型中,明显的剪切分散出现在主流方向的海湾入口处;随着纵向水流Hurst指数的增加,横向水流的指数会相应地减少。
The dispersion of shear turbulence in the bay is studied by using the traditional Brownian motion particle tracking model and the improved fractional Brownian motion particle tracking model. It is considered that the power law of Brownian motion and fractional Brownian motion predicts the simple shear diffusion more accurately. By controlling the Hurst exponent, the influence of shear dispersion on the Gulf recirculation zone can be controlled. The study shows that in the simple bay model, the obvious shear dispersion appears at the entrance of the bay in the mainstream direction. As the Hurst index of longitudinal flow increases, the index of lateral flow decreases correspondingly.