The backward Îtomethod for the Lagrangian simulation of transport processes with large space variations of the diffusivity

[摘要] Random walk models are a powerful tool for the investigation of transportprocesses in turbulent flows. However, standard random walk methods areapplicable only when the flow velocities and diffusivity are sufficientlysmooth functions. In practice there are some regions where the rapid butcontinuous change in diffusivity may be represented by a discontinuity. Therandom walk model based on backward Îto calculus can be used for theseproblems. This model was proposed by LaBolle et al. (2000). The latter is best suited to the problemsunder consideration. It is then applied to two test cases with discontinuousdiffusivity, highlighting the advantages of this method.

[学科分类] 海洋学与技术