Efficient stochastic finite element methods for flow in heterogeneous porous media. Part 2: random lognormal permeability
| Autor: | Timothy Nigel Phillips, Luca Traverso |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Random field
Polynomial chaos Iterative method Applied Mathematics Mechanical Engineering Linear system Computational Mechanics 01 natural sciences Finite element method 010305 fluids & plasmas Computer Science Applications 010101 applied mathematics Nonlinear system Mechanics of Materials Conjugate gradient method 0103 physical sciences Applied mathematics 0101 mathematics Random variable Mathematics |
| ISSN: | 0271-2091 |
| Popis: | 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‐Loeve 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. |
| Databáze: | OpenAIRE |
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