On the fixed-stress split scheme as smoother in multigrid methods for coupling flow and geomechanics
作者： Francisco J. Gaspar , Carmen Rodrigo
DOI: 10.1016/J.CMA.2017.08.025
关键词:
摘要: The fixed-stress split method has been widely used as solution in the coupling of flow and geomechanics. In this work, we analyze behavior an inexact version algorithm smoother within a geometric multigrid method, order to obtain efficient monolithic solver for Biot's problem. This combines advantages being fully coupled with benefit decoupling mechanics part smoothing algorithm. Moreover, is based on physics problem, therefore all parameters involved relaxation are physical properties medium given priori. A local Fourier analysis applied study convergence support good results obtained. proposed solve several tests semi-structured triangular grids, show its practical utility.
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sci-hub.se 参考文章(22)
Jihoon Kim, Sequential methods for coupled geomechanics and multiphase flow ,(2010)
Herbert F. Wang, Theory of Linear Poroelasticity with Applications to Geomechanics and Hydrogeology ,(2000)
N. Castelletto, J. A. White, H. A. Tchelepi, Accuracy and convergence properties of the fixed‐stress iterative solution of two‐way coupled poromechanics International Journal for Numerical and Analytical Methods in Geomechanics. ,vol. 39, pp. 1593- 1618 ,(2015) , 10.1002/NAG.2400
Márcio A. Murad, Abimael F. D. Loula, On stability and convergence of finite element approximations of Biot's consolidation problem International Journal for Numerical Methods in Engineering. ,vol. 37, pp. 645- 667 ,(1994) , 10.1002/NME.1620370407
J. Kim, H.A. Tchelepi, R. Juanes, Stability and convergence of sequential methods for coupled flow and geomechanics: Fixed-stress and fixed-strain splits Computer Methods in Applied Mechanics and Engineering. ,vol. 200, pp. 1591- 1606 ,(2011) , 10.1016/J.CMA.2010.12.022
Luca Bergamaschi, Massimiliano Ferronato, Giuseppe Gambolati, Novel preconditioners for the iterative solution to FE-discretized coupled consolidation equations Computer Methods in Applied Mechanics and Engineering. ,vol. 196, pp. 2647- 2656 ,(2007) , 10.1016/J.CMA.2007.01.013
Andro Mikelić, Mary F. Wheeler, Convergence of iterative coupling for coupled flow and geomechanics Computational Geosciences. ,vol. 17, pp. 455- 461 ,(2013) , 10.1007/S10596-012-9318-Y
Maurice A. Biot, General Theory of Three‐Dimensional Consolidation Journal of Applied Physics. ,vol. 12, pp. 155- 164 ,(1941) , 10.1063/1.1712886
Maurice A Biot, Theory of Elasticity and Consolidation for a Porous Anisotropic Solid Journal of Applied Physics. ,vol. 26, pp. 182- 185 ,(1955) , 10.1063/1.1721956
Carmen Rodrigo, Francisco J. Gaspar, Francisco J. Lisbona, Multigrid Methods on Semi-Structured Grids Archives of Computational Methods in Engineering. ,vol. 19, pp. 499- 538 ,(2012) , 10.1007/S11831-012-9078-9