Mehmani, Yashar; Castelletto, Nicola; Tchelepi, Hamdi A. Nonlinear convergence in contact mechanics: immersed boundary finite volume. (English) Zbl 1506.74227 Comput. Methods Appl. Mech. Eng. 383, Article ID 113929, 34 p. (2021). MSC: 74M15 74S05 65N30 74B05 PDFBibTeX XMLCite \textit{Y. Mehmani} et al., Comput. Methods Appl. Mech. Eng. 383, Article ID 113929, 34 p. (2021; Zbl 1506.74227) Full Text: DOI
Alali, Ammar H.; Hamon, François P.; Mallison, Bradley T.; Tchelepi, Hamdi A. Finite-volume simulation of capillary-dominated flow in matrix-fracture systems using interface conditions. (English) Zbl 1453.86002 Comput. Geosci. 25, No. 1, 17-33 (2021). MSC: 86-08 65M08 76S05 86A05 PDFBibTeX XMLCite \textit{A. H. Alali} et al., Comput. Geosci. 25, No. 1, 17--33 (2021; Zbl 1453.86002) Full Text: DOI arXiv
Franceschini, Andrea; Castelletto, Nicola; White, Joshua A.; Tchelepi, Hamdi A. Algebraically stabilized Lagrange multiplier method for frictional contact mechanics with hydraulically active fractures. (English) Zbl 1506.74400 Comput. Methods Appl. Mech. Eng. 368, Article ID 113161, 32 p. (2020). MSC: 74S05 65N30 65N08 65N12 74M10 PDFBibTeX XMLCite \textit{A. Franceschini} et al., Comput. Methods Appl. Mech. Eng. 368, Article ID 113161, 32 p. (2020; Zbl 1506.74400) Full Text: DOI arXiv
Terekhov, Kirill M.; Tchelepi, Hamdi A. Cell-centered finite-volume method for elastic deformation of heterogeneous media with full-tensor properties. (English) Zbl 1457.74186 J. Comput. Appl. Math. 364, Article ID 112331, 25 p. (2020). MSC: 74S10 74B05 74E05 74E10 PDFBibTeX XMLCite \textit{K. M. Terekhov} and \textit{H. A. Tchelepi}, J. Comput. Appl. Math. 364, Article ID 112331, 25 p. (2020; Zbl 1457.74186) Full Text: DOI
Guo, Bo; Mehmani, Yashar; Tchelepi, Hamdi A. Multiscale formulation of pore-scale compressible Darcy-Stokes flow. (English) Zbl 1453.65304 J. Comput. Phys. 397, Article ID 108849, 18 p. (2019). MSC: 65M55 76S05 76M12 65Z05 PDFBibTeX XMLCite \textit{B. Guo} et al., J. Comput. Phys. 397, Article ID 108849, 18 p. (2019; Zbl 1453.65304) Full Text: DOI
Wong, Zhi Yang; Kwok, Felix; Horne, Roland N.; Tchelepi, Hamdi A. Sequential-implicit Newton method for multiphysics simulation. (English) Zbl 1452.86003 J. Comput. Phys. 391, 155-178 (2019). MSC: 86A04 86A05 76S05 65M60 65M08 65Z05 86-08 PDFBibTeX XMLCite \textit{Z. Y. Wong} et al., J. Comput. Phys. 391, 155--178 (2019; Zbl 1452.86003) Full Text: DOI
Mehmani, Yashar; Tchelepi, Hamdi A. Multiscale formulation of two-phase flow at the pore scale. (English) Zbl 1452.65218 J. Comput. Phys. 389, 164-188 (2019). MSC: 65M55 65M50 65M08 76S05 76M12 76D05 76T06 PDFBibTeX XMLCite \textit{Y. Mehmani} and \textit{H. A. Tchelepi}, J. Comput. Phys. 389, 164--188 (2019; Zbl 1452.65218) Full Text: DOI
White, Joshua A.; Castelletto, Nicola; Klevtsov, Sergey; Bui, Quan M.; Osei-Kuffuor, Daniel; Tchelepi, Hamdi A. A two-stage preconditioner for multiphase poromechanics in reservoir simulation. (English) Zbl 1442.76118 Comput. Methods Appl. Mech. Eng. 357, Article ID 112575, 24 p. (2019). MSC: 76S05 65M08 65M60 76M12 PDFBibTeX XMLCite \textit{J. A. White} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112575, 24 p. (2019; Zbl 1442.76118) Full Text: DOI arXiv
Mimouna, A.; Tchelepi, H. A. Critical time-step for central difference integration schemes in discrete methods: translational and rotational degrees of freedom. (English) Zbl 1441.74294 Comput. Methods Appl. Mech. Eng. 353, 158-182 (2019). MSC: 74S20 65L12 70F45 PDFBibTeX XMLCite \textit{A. Mimouna} and \textit{H. A. Tchelepi}, Comput. Methods Appl. Mech. Eng. 353, 158--182 (2019; Zbl 1441.74294) Full Text: DOI
Jiang, Jiamin; Tchelepi, Hamdi A. Nonlinear acceleration of sequential fully implicit (SFI) method for coupled flow and transport in porous media. (English) Zbl 1441.76080 Comput. Methods Appl. Mech. Eng. 352, 246-275 (2019). MSC: 76M12 65M08 74F10 74S10 76S05 PDFBibTeX XMLCite \textit{J. Jiang} and \textit{H. A. Tchelepi}, Comput. Methods Appl. Mech. Eng. 352, 246--275 (2019; Zbl 1441.76080) Full Text: DOI arXiv
Hamon, François P.; Mallison, Bradley T.; Tchelepi, Hamdi A. Implicit hybrid upwinding for two-phase flow in heterogeneous porous media with buoyancy and capillarity. (English) Zbl 1439.76156 Comput. Methods Appl. Mech. Eng. 331, 701-727 (2018). MSC: 76S05 65M08 74F10 76M12 76T10 PDFBibTeX XMLCite \textit{F. P. Hamon} et al., Comput. Methods Appl. Mech. Eng. 331, 701--727 (2018; Zbl 1439.76156) Full Text: DOI
Jiang, Jiamin; Tchelepi, Hamdi A. Dissipation-based continuation method for multiphase flow in heterogeneous porous media. (English) Zbl 1416.76152 J. Comput. Phys. 375, 307-336 (2018). MSC: 76M12 76S05 76T99 PDFBibTeX XMLCite \textit{J. Jiang} and \textit{H. A. Tchelepi}, J. Comput. Phys. 375, 307--336 (2018; Zbl 1416.76152) Full Text: DOI arXiv
Moncorgé, A.; Tchelepi, H. A.; Jenny, P. Sequential fully implicit formulation for compositional simulation using natural variables. (English) Zbl 1415.76725 J. Comput. Phys. 371, 690-711 (2018). MSC: 76T30 76M12 76S05 PDFBibTeX XMLCite \textit{A. Moncorgé} et al., J. Comput. Phys. 371, 690--711 (2018; Zbl 1415.76725) Full Text: DOI arXiv
Schneider, Martin; Flemisch, B.; Helmig, R.; Terekhov, K.; Tchelepi, H. Monotone nonlinear finite-volume method for challenging grids. (English) Zbl 1405.65145 Comput. Geosci. 22, No. 2, 565-586 (2018). MSC: 65N08 65N50 86-08 PDFBibTeX XMLCite \textit{M. Schneider} et al., Comput. Geosci. 22, No. 2, 565--586 (2018; Zbl 1405.65145) Full Text: DOI
Garipov, T. T.; Tomin, P.; Rin, R.; Voskov, D. V.; Tchelepi, H. A. Unified thermo-compositional-mechanical framework for reservoir simulation. (English) Zbl 1401.86012 Comput. Geosci. 22, No. 4, 1039-1057 (2018). MSC: 86A60 76S05 65M08 PDFBibTeX XMLCite \textit{T. T. Garipov} et al., Comput. Geosci. 22, No. 4, 1039--1057 (2018; Zbl 1401.86012) Full Text: DOI
Moncorgé, A.; Tchelepi, H. A.; Jenny, P. Modified sequential fully implicit scheme for compositional flow simulation. (English) Zbl 1415.76474 J. Comput. Phys. 337, 98-115 (2017). MSC: 76M12 76S05 65M08 PDFBibTeX XMLCite \textit{A. Moncorgé} et al., J. Comput. Phys. 337, 98--115 (2017; Zbl 1415.76474) Full Text: DOI
Abushaikha, Ahmad S.; Voskov, Denis V.; Tchelepi, Hamdi A. Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation. (English) Zbl 1378.76042 J. Comput. Phys. 346, 514-538 (2017). MSC: 76M10 76T30 PDFBibTeX XMLCite \textit{A. S. Abushaikha} et al., J. Comput. Phys. 346, 514--538 (2017; Zbl 1378.76042) Full Text: DOI
Terekhov, Kirill M.; Mallison, Bradley T.; Tchelepi, Hamdi A. Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem. (English) Zbl 1380.65335 J. Comput. Phys. 330, 245-267 (2017). MSC: 65N08 65N12 76R50 PDFBibTeX XMLCite \textit{K. M. Terekhov} et al., J. Comput. Phys. 330, 245--267 (2017; Zbl 1380.65335) Full Text: DOI
Bosma, Sebastian; Hajibeygi, Hadi; Tene, Matei; Tchelepi, Hamdi A. Multiscale finite volume method for discrete fracture modeling on unstructured grids (MS-DFM). (English) Zbl 1375.76097 J. Comput. Phys. 351, 145-164 (2017). MSC: 76M12 76S05 74R99 PDFBibTeX XMLCite \textit{S. Bosma} et al., J. Comput. Phys. 351, 145--164 (2017; Zbl 1375.76097) Full Text: DOI
Hamon, François P.; Mallison, Bradley T.; Tchelepi, Hamdi A. Implicit hybrid upwind scheme for coupled multiphase flow and transport with buoyancy. (English) Zbl 1439.76109 Comput. Methods Appl. Mech. Eng. 311, 599-624 (2016). MSC: 76M12 65M08 74F10 76S05 76T10 PDFBibTeX XMLCite \textit{F. P. Hamon} et al., Comput. Methods Appl. Mech. Eng. 311, 599--624 (2016; Zbl 1439.76109) Full Text: DOI
Wang, Yixuan; Hajibeygi, Hadi; Tchelepi, Hamdi A. Monotone multiscale finite volume method. (English) Zbl 1396.65149 Comput. Geosci. 20, No. 3, 509-524 (2016). MSC: 65N08 86-08 76S05 76T99 PDFBibTeX XMLCite \textit{Y. Wang} et al., Comput. Geosci. 20, No. 3, 509--524 (2016; Zbl 1396.65149) Full Text: DOI
Garipov, T. T.; Karimi-Fard, M.; Tchelepi, H. A. Discrete fracture model for coupled flow and geomechanics. (English) Zbl 1392.76079 Comput. Geosci. 20, No. 1, 149-160 (2016). MSC: 76S05 76M12 65N30 74F10 PDFBibTeX XMLCite \textit{T. T. Garipov} et al., Comput. Geosci. 20, No. 1, 149--160 (2016; Zbl 1392.76079) Full Text: DOI
Hamon, François P.; Tchelepi, Hamdi A. Analysis of hybrid upwinding for fully-implicit simulation of three-phase flow with gravity. (English) Zbl 1382.65269 SIAM J. Numer. Anal. 54, No. 3, 1682-1712 (2016). MSC: 65M08 35L65 65M12 65M22 76M12 76S05 PDFBibTeX XMLCite \textit{F. P. Hamon} and \textit{H. A. Tchelepi}, SIAM J. Numer. Anal. 54, No. 3, 1682--1712 (2016; Zbl 1382.65269) Full Text: DOI
Wang, Yixuan; Hajibeygi, Hadi; Tchelepi, Hamdi A. Algebraic multiscale solver for flow in heterogeneous porous media. (English) Zbl 1349.76835 J. Comput. Phys. 259, 284-303 (2014). MSC: 76S05 76M10 76M12 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Comput. Phys. 259, 284--303 (2014; Zbl 1349.76835) Full Text: DOI
Wang, Xiaochen; Tchelepi, Hamdi A. Trust-region based solver for nonlinear transport in heterogeneous porous media. (English) Zbl 1349.76406 J. Comput. Phys. 253, 114-137 (2013). MSC: 76M12 65M08 65M22 76S05 76T99 PDFBibTeX XMLCite \textit{X. Wang} and \textit{H. A. Tchelepi}, J. Comput. Phys. 253, 114--137 (2013; Zbl 1349.76406) Full Text: DOI
Kim, J.; Tchelepi, H. A.; Juanes, R. Stability and convergence of sequential methods for coupled flow and geomechanics: drained and undrained splits. (English) Zbl 1228.74106 Comput. Methods Appl. Mech. Eng. 200, No. 23-24, 2094-2116 (2011). MSC: 74S20 74S05 76M12 74F10 76S05 65M12 PDFBibTeX XMLCite \textit{J. Kim} et al., Comput. Methods Appl. Mech. Eng. 200, No. 23--24, 2094--2116 (2011; Zbl 1228.74106) Full Text: DOI
Kim, J.; Tchelepi, H. A.; Juanes, R. Stability and convergence of sequential methods for coupled flow and geomechanics: fixed-stress and fixed-strain splits. (English) Zbl 1228.74101 Comput. Methods Appl. Mech. Eng. 200, No. 13-16, 1591-1606 (2011). MSC: 74S10 74F10 74L05 65N12 PDFBibTeX XMLCite \textit{J. Kim} et al., Comput. Methods Appl. Mech. Eng. 200, No. 13--16, 1591--1606 (2011; Zbl 1228.74101) Full Text: DOI
Lee, S. H.; Zhou, Hui; Tchelepi, H. A. Adaptive multiscale finite-volume method for nonlinear multiphase transport in heterogeneous formations. (English) Zbl 1388.76179 J. Comput. Phys. 228, No. 24, 9036-9058 (2009). MSC: 76M12 65M08 PDFBibTeX XMLCite \textit{S. H. Lee} et al., J. Comput. Phys. 228, No. 24, 9036--9058 (2009; Zbl 1388.76179) Full Text: DOI
Hesse, Marc A.; Mallison, Bradley T.; Tchelepi, Hamdi A. Compact multiscale finite volume method for heterogeneous anisotropic elliptic equations. (English) Zbl 1277.76104 Multiscale Model. Simul. 7, No. 2, 934-962 (2008). MSC: 76S05 35Q35 65N30 76M12 PDFBibTeX XMLCite \textit{M. A. Hesse} et al., Multiscale Model. Simul. 7, No. 2, 934--962 (2008; Zbl 1277.76104) Full Text: DOI
Lee, S. H.; Wolfsteiner, C.; Tchelepi, H. A. Multiscale finite-volume formulation for multiphase flow in porous media: black oil formulation of compressible, three-phase flow with gravity. (English) Zbl 1259.76049 Comput. Geosci. 12, No. 3, 351-366 (2008). MSC: 76M25 76S05 76M12 PDFBibTeX XMLCite \textit{S. H. Lee} et al., Comput. Geosci. 12, No. 3, 351--366 (2008; Zbl 1259.76049) Full Text: DOI
Wolfsteiner, Christian; Lee, Seong H.; Tchelepi, Hamdi A. Well modeling in the multiscale finite volume method for subsurface flow simulation. (English) Zbl 1205.76175 Multiscale Model. Simul. 5, No. 3, 900-917 (2006). MSC: 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{C. Wolfsteiner} et al., Multiscale Model. Simul. 5, No. 3, 900--917 (2006; Zbl 1205.76175) Full Text: DOI
Jenny, P.; Lee, S. H.; Tchelepi, H. A. Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media. (English) Zbl 1160.76373 J. Comput. Phys. 217, No. 2, 627-641 (2006). MSC: 76M12 76S05 76T10 PDFBibTeX XMLCite \textit{P. Jenny} et al., J. Comput. Phys. 217, No. 2, 627--641 (2006; Zbl 1160.76373) Full Text: DOI
Jenny, P.; Lee, S. H.; Tchelepi, H. A. Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. (English) Zbl 1160.76372 Multiscale Model. Simul. 3, No. 1, 50-64 (2004). MSC: 76M12 76S05 76T99 PDFBibTeX XMLCite \textit{P. Jenny} et al., Multiscale Model. Simul. 3, No. 1, 50--64 (2004; Zbl 1160.76372) Full Text: DOI
Jenny, P.; Lee, S. H.; Tchelepi, H. A. Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. (English) Zbl 1047.76538 J. Comput. Phys. 187, No. 1, 47-67 (2003). MSC: 76M12 76S05 86A05 PDFBibTeX XMLCite \textit{P. Jenny} et al., J. Comput. Phys. 187, No. 1, 47--67 (2003; Zbl 1047.76538) Full Text: DOI
Lee, S. H.; Jenny, P.; Tchelepi, H. A. A finite-volume method with hexahedral multiblock grids for modeling flow in porous media. (English) Zbl 1094.76541 Comput. Geosci. 6, No. 3-4, 353-379 (2002). MSC: 76M12 76M10 76S05 86-08 PDFBibTeX XMLCite \textit{S. H. Lee} et al., Comput. Geosci. 6, No. 3--4, 353--379 (2002; Zbl 1094.76541) Full Text: DOI