Simulation of drift-diffusion process at high Péclet numbers by the random walk on spheres method

IF 0.8 Q3 STATISTICS & PROBABILITY Monte Carlo Methods and Applications Pub Date : 2022-10-28 DOI:10.1515/mcma-2022-2128
K. Sabelfeld, Ivan Aksyuk
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Abstract

Abstract In this paper, we address the problem of flow simulation at high Péclet numbers by the random walk on spheres (RWS) method. Conventional deterministic methods here face difficulties related to high solution gradients near the boundary in the region known as the boundary layer. In the finite-difference methods, this leads to introduction of very fine meshes which in turn causes problems of stability and high dimensions. The RWS algorithm is mesh free, but the high Péclet number flows should probably also affect the efficiency of simulations. However, it turns out that the RWS algorithm can be well adapted to this case. We present an analysis of the RWS algorithm for different examples of flows with high Péclet number. Simulations are carried out for different boundary conditions and for two-layered material with different diffusion coefficients of exciton’s mobility.
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用球上随机游走法模拟高psamclet数下的漂移扩散过程
摘要本文用球上随机游走(RWS)方法解决了高psamclet数下的流动模拟问题。传统的确定性方法在这里面临着与边界层附近区域的高解梯度有关的困难。在有限差分方法中,这会导致引入非常精细的网格,从而导致稳定性和高维问题。RWS算法是无网格的,但过高的psamclet数流可能也会影响模拟的效率。然而,事实证明RWS算法可以很好地适应这种情况。本文对具有高psamclet数的不同流例的RWS算法进行了分析。在不同边界条件下,对具有不同激子迁移率扩散系数的双层材料进行了模拟。
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来源期刊
Monte Carlo Methods and Applications
Monte Carlo Methods and Applications STATISTICS & PROBABILITY-
CiteScore
1.20
自引率
22.20%
发文量
31
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