Stochastic meshfree projection scheme for flow in random porous media
Stochastic meshfree projection scheme for flow in random porous media
We present a stochastic meshfree projection scheme for analysis of flow in random porous media. The random field describing the log-permeability is discretized using the Karhunen-Loeve expansion scheme. We perform spatial discretization of the governing equations by representing the pressure distribution using an expansion in terms of radial basis functions with undetermined random coefficients. Subsequently, we apply a collocation scheme over physical space, which leads to a system of linear random algebraic equations. The algebraic equations are solved by Galerkin projection on to a preconditioned stochastic Krylove subspace. This enables the possibility of accurately estimating the statistics of the pressure distribution at a computational cost only marginally higher than the solution of the deterministic version of the governing equations. We present numerical results for two test cases to illustrate the performance of the proposed approach.
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
2004
Nair, P.B.
d4d61705-bc97-478e-9e11-bcef6683afe7
Nair, P.B.
(2004)
Stochastic meshfree projection scheme for flow in random porous media.
ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford, UK.
29 Mar - 01 Apr 2004.
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Abstract
We present a stochastic meshfree projection scheme for analysis of flow in random porous media. The random field describing the log-permeability is discretized using the Karhunen-Loeve expansion scheme. We perform spatial discretization of the governing equations by representing the pressure distribution using an expansion in terms of radial basis functions with undetermined random coefficients. Subsequently, we apply a collocation scheme over physical space, which leads to a system of linear random algebraic equations. The algebraic equations are solved by Galerkin projection on to a preconditioned stochastic Krylove subspace. This enables the possibility of accurately estimating the statistics of the pressure distribution at a computational cost only marginally higher than the solution of the deterministic version of the governing equations. We present numerical results for two test cases to illustrate the performance of the proposed approach.
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Published date: 2004
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ICFD Conference on Numerical Methods for Fluid Dynamics, Oxford, UK, 2004-03-29 - 2004-04-01
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Local EPrints ID: 22968
URI: http://eprints.soton.ac.uk/id/eprint/22968
PURE UUID: 33dbe257-7c3c-4c8b-b53f-546659403f9e
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Date deposited: 05 Apr 2006
Last modified: 15 Mar 2024 06:42
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P.B. Nair
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