Volume 10, Issue 3
The Finite Element Method of a Euler Scheme for Stochastic Navier-Stokes Equations Involving the Turbulent Component

Y. Duan & X. Yang

DOI:

Int. J. Numer. Anal. Mod., 10 (2013), pp. 727-744

Published online: 2013-10

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  • Abstract

In this paper we study the finite element approximation for stochastic Navier-Stokes equations including a turbulent part. The discretization for space is derived by finite element method, and we use the backward Euler scheme in time discretization. We apply the generalized L_2-projection operator to approximate the noise term. Under suitable assumptions, strong convergence error estimations with respect to the fully discrete scheme are well proved.

  • Keywords

stochastic Navier-Stokes equations finite element method discrete scheme and error estimation

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