Monolithic multigrid method for the coupled stokes flow and deformable porous medium system

Luo, P. ; Rodrigo, C. (Universidad de Zaragoza) ; Gaspar, F.J. (Universidad de Zaragoza) ; Oosterlee, C.W.

Resumen: The interaction between fluid flow and a deformable porous medium is a complicated multi-physics problem, which can be described by a coupled model based on the Stokes and poroelastic equations. A monolithic multigrid method together with either a coupled Vanka smoother or a decoupled Uzawa smoother is employed as an efficient numerical technique for the linear discrete system obtained by finite volumes on staggered grids. A specialty in our modeling approach is that at the interface of the fluid and poroelastic medium, two unknowns from the different subsystems are defined at the same grid point. We propose a special discretization at and near the points on the interface, which combines the approximation of the governing equations and the considered interface conditions. In the decoupled Uzawa smoother, Local Fourier Analysis (LFA) helps us to select optimal values of the relaxation parameter appearing. To implement the monolithic multigrid method, grid partitioning is used to deal with the interface updates when communication is required between two subdomains. Numerical experiments show that the proposed numerical method has an excellent convergence rate. The efficiency and robustness of the method are confirmed in numerical experiments with typically small realistic values of the physical coefficients.

Idioma: Inglés

DOI: 10.1016/j.jcp.2017.09.062

Año: 2018

Publicado en: JOURNAL OF COMPUTATIONAL PHYSICS 353 (2018), 148-168
ISSN: 0021-9991

Factor impacto JCR: 2.845 (2018)

Categ. JCR: PHYSICS, MATHEMATICAL rank: 4 / 55 = 0.073 (2018) - Q1 - T1
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 39 / 106 = 0.368 (2018) - Q2 - T2

Factor impacto SCIMAGO: 1.643 - Physics and Astronomy (miscellaneous) (Q1) - Computer Science Applications (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/PDIE
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: Article (PostPrint)

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