000075408 001__ 75408
000075408 005__ 20191122145056.0
000075408 0247_ $$2doi$$a10.1016/j.jcp.2017.09.062
000075408 0248_ $$2sideral$$a101850
000075408 037__ $$aART-2018-101850
000075408 041__ $$aeng
000075408 100__ $$aLuo, P.
000075408 245__ $$aMonolithic multigrid method for the coupled stokes flow and deformable porous medium system
000075408 260__ $$c2018
000075408 5060_ $$aAccess copy available to the general public$$fUnrestricted
000075408 5203_ $$aThe 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.
000075408 536__ $$9info:eu-repo/grantAgreement/ES/MICINN/MTM2016-75139-R$$9This project has received funding from the European Union’s Horizon 2020 research and innovation program under grant agreement No H2020 705402-poro sos$$9info:eu-repo/grantAgreement/EC/H2020/705402/EU/Efficient numerical methods for deformable porous media. Application to carbon dioxide storage./poro sos$$9info:eu-repo/grantAgreement/ES/DGA/PDIE
000075408 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000075408 590__ $$a2.845$$b2018
000075408 591__ $$aPHYSICS, MATHEMATICAL$$b4 / 55 = 0.073$$c2018$$dQ1$$eT1
000075408 591__ $$aCOMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS$$b39 / 106 = 0.368$$c2018$$dQ2$$eT2
000075408 592__ $$a1.643$$b2018
000075408 593__ $$aPhysics and Astronomy (miscellaneous)$$c2018$$dQ1
000075408 593__ $$aComputer Science Applications$$c2018$$dQ1
000075408 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion
000075408 700__ $$0(orcid)0000-0002-1598-2831$$aRodrigo, C.$$uUniversidad de Zaragoza
000075408 700__ $$0(orcid)0000-0002-9777-5245$$aGaspar, F.J.$$uUniversidad de Zaragoza
000075408 700__ $$aOosterlee, C.W.
000075408 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada
000075408 773__ $$g353 (2018), 148-168$$pJ. comput. phys.$$tJOURNAL OF COMPUTATIONAL PHYSICS$$x0021-9991
000075408 8564_ $$s1273766$$uhttps://zaguan.unizar.es/record/75408/files/texto_completo.pdf$$yPostprint
000075408 8564_ $$s68069$$uhttps://zaguan.unizar.es/record/75408/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint
000075408 909CO $$ooai:zaguan.unizar.es:75408$$particulos$$pdriver
000075408 951__ $$a2019-11-22-14:46:08
000075408 980__ $$aARTICLE