Multigrid method for nonlinear poroelasticity equations

Title

Multigrid method for nonlinear poroelasticity equations

 Author

Luo, P. (TU Delft Numerical Analysis)
Rodrigo, C (Universidad de Zaragoza)
Gaspar, F. J. (Universidad de Zaragoza)
Oosterlee, C.W. (TU Delft Numerical Analysis; Centrum Wiskunde & Informatica (CWI)) ORCID 0000-0002-7322-4094

 Date

2015

 Abstract

In this study, a nonlinear multigrid method is applied for solving the system of incompressible poroelasticity equations considering nonlinear hydraulic conductivity. For the unsteady problem, an additional artificial term is utilized to stabilize the solutions when the equations are discretized on collocated grids. We employ two nonlinear multigrid methods, i.e. the “full approximation scheme” and “Newton multigrid” for solving the corresponding system of equations arising after discretization. For the steady case, both homogeneous and heterogeneous cases are solved and two different smoothers are examined to search for an efficient multigrid method. Numerical results show a good convergence performance for all the strategies.


 Subject

Collocated grid
Coupled system
Heterogeneity
Multigrid
Nonlinearity
Poroelasticity
Weibull function

 To reference this document use:

http://resolver.tudelft.nl/uuid:71763e99-e046-4291-9990-8a8be25d75a6

 DOI

https://doi.org/10.1007/s00791-016-0260-8

 ISSN

1432-9360

 Source

Computing and Visualization in Science, 17 (5), 255-265

 Part of collection

Institutional Repository

 Document type

journal article

 Rights

© 2015 P. Luo, C Rodrigo, F. J. Gaspar, C.W. Oosterlee
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