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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 front 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. Ill 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. (C) 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 14-23, 2010
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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
ISSN: 0749-159X
Year: 2010
Issue: 1
Volume: 26
Page: 14-23
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: 2
SCOPUS Cited Count: 2
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 4
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