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通过对传统分数布朗运动模型以及改进了的FBMINC模型的分析,与粒子跟踪模型结合,提出应用范围更广的加速分数布朗运动(AFBM)粒子跟踪模型,并用于模拟海洋表面漂浮污染团的扩散。模拟结果表明,与传统模型的模拟结果比较,加速分数布朗运动粒子跟踪模型更准确可靠;由于豪斯特指数的取值范围得到扩展,加速分数布朗运动粒子跟踪模型的应用范围更广泛。
By analyzing the traditional fractional Brownian motion model and the improved FBMINC model, combined with the particle tracking model, an accelerated fractional Brownian motion (AFBM) particle tracking model is proposed and used to simulate the diffusion of floating pollution groups on the ocean surface. The simulation results show that the accelerated fractional Brownian particle tracking model is more accurate and reliable than the traditional model. Because of the extension of the Hausdorff index, the application of accelerated fractional Brownian particle tracking model is more extensive.