Efficient stochastic finite element methods for flow in heterogeneous porous media. Part 2: random lognormal permeability

Traverso, L. and Phillips, T. N. ORCID: https://orcid.org/0000-0001-6455-1205 2020. Efficient stochastic finite element methods for flow in heterogeneous porous media. Part 2: random lognormal permeability. International Journal for Numerical Methods in Fluids 92 (11) , pp. 1626-1652. 10.1002/fld.4842

Preview

PDF - Published Version Available under License Creative Commons Attribution. Download (947kB) | Preview

Abstract

Efficient and robust iterative methods are developed for solving the linear systems of equations arising from stochastic finite element methods for single phase fluid flow in porous media. Permeability is assumed to vary randomly in space according to some given correlation function. In the companion paper, herein referred to as Part 1, permeability was approximated using a truncated Karhunen‐Loève expansion (KLE). The stochastic variability of permeability is modeled using lognormal random fields and the truncated KLE is projected onto a polynomial chaos basis. This results in a stochastic nonlinear problem since the random fields are represented using polynomial chaos containing terms that are generally nonlinear in the random variables. Symmetric block Gauss‐Seidel used as a preconditioner for CG is shown to be efficient and robust for stochastic finite element method.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Wiley
ISSN:	0271-2091
Date of First Compliant Deposit:	7 April 2020
Date of Acceptance:	2 April 2020
Last Modified:	04 May 2023 20:21
URI:	https://orca.cardiff.ac.uk/id/eprint/130874

Actions (repository staff only)

Edit Item