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对空间均匀分布随机扰动输运速度场中的对流-扩散随机过程进行了数值仿真。目的在于揭示即使在输运速度场受均匀扰动情况下,其输出的待求函数同样表现出复杂的节点意义下的多尺度特性,即求解节点上,各待求未知分量具有各自的不同尺度分布。传统的网格细分(mesh-refinement)已不再适用。动态自适应小波空间细分(space-.refinement)使各未知分量具有各自独立的小波求解网格,从而有效地节省了计算量。
The numerical simulation of convection - diffusion stochastic process in the stochastic perturbed transport velocity field is carried out. The purpose is to reveal that even if the transport velocity field is subject to uniform perturbations, the output function to be sought also exhibits a complex multi-scale characteristic in the sense of node, that is, each unknown component to be solved has its own different scale distribution . Traditional mesh-refinement no longer applies. The dynamic adaptive wavelet space segmentation (space-.refinement) makes each unknown component has its own independent wavelet solving grid, thus effectively saving the computation.