Numerical Study of the Impacts of Stochastic Forcing on the Vortex in Fluid Flow

Jingyun Lv; Xin Hou; Jingli Chen

doi:10.20944/preprints202312.2195.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Version 1 : Received: 28 December 2023 / Approved: 28 December 2023 / Online: 28 December 2023 (15:19:09 CET)

This paper provides the numerical investigation of two-dimensional stochastic Navier-Stokes equation driven by additive white noises. The vorticity-stream function method is presented to calculate the incompressible fluid flow. In order to solve the formulation of steam function equation, we propose a Crank-Nicolson Fourier pseudo-spectral method. Numerical results obviously show that the presence of stochastic forcing can have an impact upon the shapes of vortex in fluid flow. To a certain extent, the phenomenon of eddy shedding and the formation of some new vortex in a random medium can be observed, which make it possible for us to conduct optimal control experiments in the development of vortex structures.

Stochastic Navier-Stokes equations; Vorticity-stream function; Fourier pseudo-spectral method; Fluid flow

Computer Science and Mathematics, Computational Mathematics

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Numerical Study of the Impacts of Stochastic Forcing on the Vortex in Fluid Flow

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