Monte-Carlo simulations for wall-bounded fluid flows via random vortex method

TL;DR

This paper introduces a Monte-Carlo simulation approach for wall-bounded fluid flows using a novel random vortex method with reflection and perturbation techniques, enabling efficient flow modeling near solid boundaries.

Contribution

It presents a new Monte-Carlo method based on a random vortex approach with reflection and perturbation techniques for simulating wall-bounded fluid flows.

Findings

Successful implementation of the Monte-Carlo simulation near solid walls.

Demonstrated effectiveness of the random vortex method with reflection and perturbation.

Potential for improved accuracy in wall-bounded flow simulations.

Abstract

In this paper a Monte-Carlo method for simulating the motion of fluid flow moving along a solid wall is proposed. The random vortex method in the present paper is established by using the reflection technology and perturbation technique. The Monte-Carlo method based on this random vortex dynamic may be implemented, and several Monte-Carlo simulations are then carried out for the flows near the solid wall.