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

2022/08/28 by Zhansen Qian, Qian, Z., Y. Qiu +5
Earth and Planetary Sciences · Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics Simulations and Interactions #Lattice Boltzmann Simulation Studies #Meteorological Phenomena and Simulations #Probability (math.PR)

paper · pdf · doi:10.48550/arxiv.2208.13233

openalex publication_date 2022/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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