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Numerical simulations for two-dimensional stochastic incompressible Navier-Stokes equations

✍ Scribed by Jun-Xiang Lu; Yi-Chen Ma

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
154 KB
Volume
26
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

This article mainly concerns modeling the stochastic input and its propagation in incompressible Navier‐Stokes(N‐S) flow simulations. The stochastic input is represented spectrally by employing orthogonal polynomial functionals from the Askey scheme as trial basis to represent the random space. A standard Galerkin projection is applied in the random dimension to derive the equations in the weak form. The resulting set of deterministic equations is then solved with standard methods to obtain the mean solution. In this article, the main method employs the Hermite polynomial as the basis in random space. Numerical examples are given and the error analysis is demonstrated for a model problem. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010

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