The velocity tracking problem for Wick-stochastic Navier-Stokes flows using Weiner chaos expansion

[摘要] In this paper, we numerically investigate a distributed control problem of stochastic incompressible Newtonian fluid flows modeled by Navier-Stokes equations with additive white noise. Wick product is applied to define the nonlinear convective term. The objective of optimization is to track a given deterministic or stochastic velocity field. An optimization algorithm based on Weiner chaos expansion is proposed. Numerical tests are performed to validate our methodology. (C) 2016 Published by Elsevier B.V.

[发布日期] 2016-12-01

[效力级别]  Proceedings Paper

[关键词] Stochastic Navier-Stokes equations;Distributed control;Finite Element Methods;Wick product;White noise;Weiner chaos expansion