Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10357978 | Journal of Computational Physics | 2005 | 40 Pages |
Abstract
An extension of the deterministic variational multiscale (VMS) approach with algebraic subgrid scale (SGS) modeling is considered for developing stabilized finite element formulations for the stochastic advection and the incompressible stochastic Navier-Stokes equations. The stabilized formulations are numerically implemented using the spectral stochastic formulation of the finite element method (SSFEM). Generalized polynomial chaos and Karhunen-Loève expansion techniques are used for representation of uncertain quantities. The proposed stabilized method is then applied to various standard advection-diffusion and fluid-flow examples with uncertainty in essential boundary conditions. Comparisons are drawn between the numerical solutions and Monte-Carlo/analytical solutions wherever possible.
Keywords
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Velamur Asokan Badri Narayanan, Nicholas Zabaras,