This talk is concerned with computational schemes for wall-bounded fluid flows. We first establish a random vortex method by using the reflection technology and perturbation technique. Further, by utilising this random vortex method, we derive a stochastic representation of the vorticity (and velocity) of the motion of fluid flow moving along a solid wall. Based on this, we propose a Monte-Carlo method for simulating the motion of fluid flow moving along a solid wall. The Monte-Carlo method based on this random vortex dynamic are implemented with numerical schemes via proper discretisation, and several Monte-Carlo simulations are then carried out for the flows near the solid wall. This talk is based on joint work with Zhongmin Qian (University of Oxford), Youchun Qiu (University of Tuolouse) and Liang Zhao (Oxford Suzhou Centre for Advanced Research), arXiv:2208.13233 (https://arxiv.org/pdf/2208.13233.pdf).