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The 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 M 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 and variance of the stochastic velocity. In this article, the main method employs the Hermite polynomial as the basis in random space. Cavity problems arc given to demonstrate the process of numerical simulation. Furthermore. Monte-Carlo simulation method is applied to illustrate the accurate numerical results. 2009 Wiley Periodicals. Inc. Numer Methods Partial Differential Eq 26: 662-674, 2010
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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN: 0749-159X
Year: 2010
Issue: 3
Volume: 26
Page: 662-674
1 . 4 2 7
JCR@2010
3 . 0 0 9
JCR@2020
ESI Discipline: ENGINEERING;
JCR Journal Grade:2
CAS Journal Grade:3
Cited Count:
WoS CC Cited Count: 1
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
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