Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche’s coupling approach

Bukač, M.; Yotov, I.; Zakerzadeh, R.; Zunino, P.

doi:10.1016/j.cma.2014.10.047

Title: Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche’s coupling approach

Journal Article · Sat Aug 01 00:00:00 EDT 2015 · Computer Methods in Applied Mechanics and Engineering

DOI:https://doi.org/10.1016/j.cma.2014.10.047· OSTI ID:1245487

Bukač, M.; Yotov, I.;

; Zunino, P.

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Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-04ER25618

OSTI ID:: 1245487

Journal Information:: Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Vol. 292 Journal Issue: C; ISSN 0045-7825

Publisher:: ElsevierCopyright Statement

Country of Publication:: Netherlands

Language:: English

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Cited by: 52 works

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References (30)

Stability and convergence of sequential methods for coupled flow and geomechanics: Drained and undrained splits Kim, J.; Tchelepi, H. A.; Juanes, R. Computer Methods in Applied Mechanics and Engineering, Vol. 200, Issue 23-24 https://doi.org/10.1016/j.cma.2011.02.011	journal	June 2011
Block-preconditioned Newton–Krylov solvers for fully coupled flow and geomechanics White, Joshua A.; Borja, Ronaldo I. Computational Geosciences, Vol. 15, Issue 4 https://doi.org/10.1007/s10596-011-9233-7	journal	April 2011
Artificial added mass instabilities in sequential staggered coupling of nonlinear structures and incompressible viscous flows Förster, Christiane; Wall, Wolfgang A.; Ramm, Ekkehard Computer Methods in Applied Mechanics and Engineering, Vol. 196, Issue 7 https://doi.org/10.1016/j.cma.2006.09.002	journal	January 2007
Numerical approximation with Nitscheʼs coupling of transient Stokesʼ/Darcyʼs flow problems applied to hemodynamics DʼAngelo, Carlo; Zunino, Paolo Applied Numerical Mathematics, Vol. 62, Issue 4 https://doi.org/10.1016/j.apnum.2011.03.001	journal	April 2012
Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition Cao, Yanzhao; Gunzburger, Max; Hua, Fei Communications in Mathematical Sciences, Vol. 8, Issue 1 https://doi.org/10.4310/CMS.2010.v8.n1.a2	journal	January 2010
Coupling Fluid Flow with Porous Media Flow Layton, William J.; Schieweck, Friedhelm; Yotov, Ivan SIAM Journal on Numerical Analysis, Vol. 40, Issue 6 https://doi.org/10.1137/S0036142901392766	journal	January 2002
Stabilization of explicit coupling in fluid–structure interaction involving fluid incompressibility Burman, Erik; Fernández, Miguel A. Computer Methods in Applied Mechanics and Engineering, Vol. 198, Issue 5-8 https://doi.org/10.1016/j.cma.2008.10.012	journal	January 2009
A fluid-fluid interaction method using decoupled subproblems and differing time steps Connors, Jeffrey M.; Howell, Jason S. Numerical Methods for Partial Differential Equations, Vol. 28, Issue 4 https://doi.org/10.1002/num.20681	journal	May 2011
Variational Iterative Methods for Nonsymmetric Systems of Linear Equations Eisenstat, Stanley C.; Elman, Howard C.; Schultz, Martin H. SIAM Journal on Numerical Analysis, Vol. 20, Issue 2 https://doi.org/10.1137/0720023	journal	April 1983
Theory and application of a finite element method for arbitrary Lagrangian-Eulerian fluids and structures Kennedy, J. M.; Belytschko, T. B. Nuclear Engineering and Design, Vol. 68, Issue 2 https://doi.org/10.1016/0029-5493(82)90026-7	journal	March 1982
Added-mass effect in the design of partitioned algorithms for fluid–structure problems Causin, P.; Gerbeau, J. F.; Nobile, F. Computer Methods in Applied Mechanics and Engineering, Vol. 194, Issue 42-44 https://doi.org/10.1016/j.cma.2004.12.005	journal	October 2005
A multiscale Darcy–Brinkman model for fluid flow in fractured porous media Lesinigo, Matteo; D’Angelo, Carlo; Quarteroni, Alfio Numerische Mathematik, Vol. 117, Issue 4 https://doi.org/10.1007/s00211-010-0343-2	journal	October 2010
Explicit strategies for incompressible fluid-structure interaction problems: Nitsche type mortaring versus Robin-Robin coupling: EXPLICIT COUPLING SCHEMES FOR INCOMPRESSIBLE FSI Burman, Erik; Fernández, Miguel A. International Journal for Numerical Methods in Engineering, Vol. 97, Issue 10 https://doi.org/10.1002/nme.4607	journal	December 2013
Modeling fluid injection in fractures with a reservoir simulator coupled to a boundary element method Ganis, Benjamin; Mear, Mark E.; Sakhaee-Pour, A. Computational Geosciences, Vol. 18, Issue 5 https://doi.org/10.1007/s10596-013-9396-5	journal	March 2014
Modeling Fractures and Barriers as Interfaces for Flow in Porous Media Martin, Vincent; Jaffré, Jérôme; Roberts, Jean E. SIAM Journal on Scientific Computing, Vol. 26, Issue 5 https://doi.org/10.1137/S1064827503429363	journal	January 2005
Locally Conservative Coupling of Stokes and Darcy Flows Rivière, Béatrice; Yotov, Ivan SIAM Journal on Numerical Analysis, Vol. 42, Issue 5 https://doi.org/10.1137/S0036142903427640	journal	January 2005
An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions Donea, J.; Giuliani, S.; Halleux, J. P. Computer Methods in Applied Mechanics and Engineering, Vol. 33, Issue 1-3 https://doi.org/10.1016/0045-7825(82)90128-1	journal	September 1982
Nitsche's method for interface problems in computa-tional mechanics: Nitsche's method for interface problems in computa-tional mechanics Hansbo, Peter GAMM-Mitteilungen, Vol. 28, Issue 2 https://doi.org/10.1002/gamm.201490018	journal	November 2005
Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows Layton, William; Tran, Hoang; Trenchea, Catalin SIAM Journal on Numerical Analysis, Vol. 51, Issue 1 https://doi.org/10.1137/110834494	journal	January 2013
Numerical Simulation for the Propagation of Nonlinear Pulsatile Waves in Arteries Ma, X.; Lee, G. C.; Wu, S. G. Journal of Biomechanical Engineering, Vol. 114, Issue 4 https://doi.org/10.1115/1.2894099	journal	November 1992
Convergence of iterative coupling for coupled flow and geomechanics Mikelić, Andro; Wheeler, Mary F. Computational Geosciences, Vol. 17, Issue 3 https://doi.org/10.1007/s10596-012-9318-y	journal	October 2012
Fluid–structure interaction in blood flow capturing non-zero longitudinal structure displacement Bukač, Martina; Čanić, Sunčica; Glowinski, Roland Journal of Computational Physics, Vol. 235 https://doi.org/10.1016/j.jcp.2012.08.033	journal	February 2013
On the Interface law Between a Deformable Porous Medium Containing a Viscous Fluid and an Elastic body MikeliĆ, Andro; Wheeler, Mary F. Mathematical Models and Methods in Applied Sciences, Vol. 22, Issue 11 https://doi.org/10.1142/S0218202512500315	journal	September 2012
Linear stability analysis in fluid–structure interaction with transpiration. Part I: Formulation and mathematical analysis Fernández, Miguel Ángel; Le Tallec, Patrick Computer Methods in Applied Mechanics and Engineering, Vol. 192, Issue 43 https://doi.org/10.1016/j.cma.2003.07.001	journal	October 2003
Coupling Biot and Navier–Stokes equations for modelling fluid–poroelastic media interaction Badia, Santiago; Quaini, Annalisa; Quarteroni, Alfio Journal of Computational Physics, Vol. 228, Issue 21 https://doi.org/10.1016/j.jcp.2009.07.019	journal	November 2009
Finite Element Approximations for Stokes–Darcy Flow with Beavers–Joseph Interface Conditions Cao, Yanzhao; Gunzburger, Max; Hu, Xiaolong SIAM Journal on Numerical Analysis, Vol. 47, Issue 6 https://doi.org/10.1137/080731542	journal	January 2010
Mathematical and numerical models for coupling surface and groundwater flows Discacciati, Marco; Miglio, Edie; Quarteroni, Alfio Applied Numerical Mathematics, Vol. 43, Issue 1-2 https://doi.org/10.1016/S0168-9274(02)00125-3	journal	October 2002
Decoupled Time Stepping Methods for Fluid-Fluid Interaction Connors, Jeffrey M.; Howell, Jason S.; Layton, William J. SIAM Journal on Numerical Analysis, Vol. 50, Issue 3 https://doi.org/10.1137/090773362	journal	January 2012
A Finite Element Method Based on Weighted Interior Penalties for Heterogeneous Incompressible Flows D'Angelo, Carlo; Zunino, Paolo SIAM Journal on Numerical Analysis, Vol. 47, Issue 5 https://doi.org/10.1137/080726318	journal	January 2009
Time-dependent coupling of Navier–Stokes and Darcy flows Cesmelioglu, Aycil; Girault, Vivette; Rivière, Béatrice ESAIM: Mathematical Modelling and Numerical Analysis, Vol. 47, Issue 2 https://doi.org/10.1051/m2an/2012034	journal	January 2013

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