On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics

Gaspar, Francisco J. (Universidad de Zaragoza) ; Rodrigo, Carmen (Universidad de Zaragoza)

Resumen: The fixed-stress split method has been widely used as solution method in the coupling of flow and geomechanics. In this work, we analyze the behavior of an inexact version of this algorithm as smoother within a geometric multigrid method, in order to obtain an efficient monolithic solver for Biot''s problem. This solver combines the advantages of being a fully coupled method, with the benefit of decoupling the flow and the mechanics part in the smoothing algorithm. Moreover, the fixed-stress split smoother is based on the physics of the problem, and therefore all parameters involved in the relaxation are based on the physical properties of the medium and are given a priori. A local Fourier analysis is applied to study the convergence of the multigrid method and to support the good convergence results obtained. The proposed geometric multigrid algorithm is used to solve several tests in semi-structured triangular grids, in order to show the good behavior of the method and its practical utility.

Idioma: Inglés

DOI: 10.1016/j.cma.2017.08.025

Año: 2017

Publicado en: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 326 (2017), 526-540
ISSN: 0045-7825

Factor impacto JCR: 4.441 (2017)

Categ. JCR: MECHANICS rank: 7 / 134 = 0.052 (2017) - Q1 - T1
Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 2 / 103 = 0.019 (2017) - Q1 - T1
Categ. JCR: ENGINEERING, MULTIDISCIPLINARY rank: 5 / 86 = 0.058 (2017) - Q1 - T1

Factor impacto SCIMAGO: 2.883 - Computational Mechanics (Q1) - Computer Science Applications (Q1) - Physics and Astronomy (miscellaneous) (Q1) - Mechanics of Materials (Q1) - Mechanical Engineering (Q1)

Financiación: info:eu-repo/grantAgreement/EC/H2020/705402/EU/Efficient numerical methods for deformable porous media. Application to carbon dioxide storage./poro sos
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R

Tipo y forma: Artículo (PostPrint)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)