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Journal of Scientific Computing

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29-05-2015

Stochastic Steady-State Navier–Stokes Equations with Additive Random Noise

Authors: Max D. Gunzburger, Lisheng Hou, Ju Ming

Published in: Journal of Scientific Computing | Issue 2/2016

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Abstract

In this paper we investigate mathematically and numerically the two-dimensional stochastic steady-state incompressible Navier–Stokes equations with an additive random noise represented by a series in terms of truncated standard normal random variables and orthogonal basis functions. The existence and uniqueness of solutions are established. A statistical error estimate for the finite element methods is derived. A computational approach involving eigen-bases for a stochastic elliptic system is discussed and results of numerical tests are presented to validate the method.

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Title: Stochastic Steady-State Navier–Stokes Equations with Additive Random Noise
Authors: Max D. Gunzburger
Lisheng Hou
Ju Ming
Publication date: 29-05-2015
Publisher: Springer US
Published in: Journal of Scientific Computing / Issue 2/2016
Print ISSN: 0885-7474
Electronic ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-015-0039-y

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