Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media. - Patrick Jenny; Seong H. Lee; Hamdi A. Tchelepi (Multiscale Model. Simul., 2005)

Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media. - Patrick Jenny; Seong H. Lee; Hamdi A. Tchelepi (J. Comput. Phys., 2006)

Robust streamline tracing for the simulation of porous media flow on general triangular and quadrilateral grids. - Sébastien F. Matringe; Ruben Juanes; Hamdi A. Tchelepi (J. Comput. Phys., 2006)

Well Modeling in the Multiscale Finite Volume Method for Subsurface Flow Simulation. - Christian Wolfsteiner; Seong H. Lee; Hamdi A. Tchelepi (Multiscale Model. Simul., 2006)

Potential-based reduced Newton algorithm for nonlinear multiphase flow in porous media. - Felix Kwok; Hamdi A. Tchelepi (J. Comput. Phys., 2007)

A Lagrangian, stochastic modeling framework for multi-phase flow in porous media. - Manav Tyagi; Patrick Jenny; Ivan Lunati; Hamdi A. Tchelepi (J. Comput. Phys., 2008)

Compact Multiscale Finite Volume Method for Heterogeneous Anisotropic Elliptic Equations. - Marc Andre Hesse; Bradley T. Mallison; Hamdi A. Tchelepi (Multiscale Model. Simul., 2008)

Convergence of Implicit Monotone Schemes with Applications in Multiphase Flow in Porous Media. - Felix Kwok; Hamdi A. Tchelepi (SIAM J. Numer. Anal., 2008)

Unconditionally convergent nonlinear solver for hyperbolic conservation laws with S-shaped flux functions. - Patrick Jenny; Hamdi A. Tchelepi; Seong H. Lee (J. Comput. Phys., 2009)

Adaptive multiscale finite-volume method for nonlinear multiphase transport in heterogeneous formations. - Seong H. Lee; H. Zhou; Hamdi A. Tchelepi (J. Comput. Phys., 2009)

Error Analysis of an Adaptive Implicit Scheme for Hyperbolic Conservation Laws. - Romain de Loubens; Amir Riaz; Hamdi A. Tchelepi (SIAM J. Sci. Comput., 2009)

Trust-region based solver for nonlinear transport in heterogeneous porous media. - Xiaochen Wang; Hamdi A. Tchelepi (J. Comput. Phys., 2013)

Algebraic multiscale solver for flow in heterogeneous porous media. - Yixuan Wang; Hadi Hajibeygi; Hamdi A. Tchelepi (J. Comput. Phys., 2014)

Nonlinear analysis of multiphase transport in porous media in the presence of viscous, buoyancy, and capillary forces. - Boxiao Li; Hamdi A. Tchelepi (J. Comput. Phys., 2015)

Analysis of Hybrid Upwinding for Fully-Implicit Simulation of Three-Phase Flow with Gravity. - François P. Hamon; Hamdi A. Tchelepi (SIAM J. Numer. Anal., 2016)

Temporal Markov Processes for Transport in Porous Media: Random Lattice Networks. - Amir H. Delgoshaie; Patrick Jenny; Hamdi A. Tchelepi (CoRR, 2017)

Multiscale level-set method for accurate modeling of immiscible two-phase flow with deposited thin films on solid surfaces. - Moataz O. Abu-Al-Saud; Amir Riaz; Hamdi A. Tchelepi (J. Comput. Phys., 2017)

Fully implicit mixed-hybrid finite-element discretization for general purpose subsurface reservoir simulation. - Ahmad S. Abushaikha; Denis V. Voskov; Hamdi A. Tchelepi (J. Comput. Phys., 2017)

Multiscale finite volume method for discrete fracture modeling on unstructured grids (MS-DFM). - Sebastian B. M. Bosma; Hadi Hajibeygi; Matei Tene; Hamdi A. Tchelepi (J. Comput. Phys., 2017)

Multiscale finite-element method for linear elastic geomechanics. - Nicola Castelletto; Hadi Hajibeygi; Hamdi A. Tchelepi (J. Comput. Phys., 2017)

A two-stage adaptive stochastic collocation method on nested sparse grids for multiphase flow in randomly heterogeneous porous media. - Qinzhuo Liao; Dongxiao Zhang; Hamdi A. Tchelepi (J. Comput. Phys., 2017)

Modified sequential fully implicit scheme for compositional flow simulation. - Arthur Moncorgé; Hamdi A. Tchelepi; Patrick Jenny (J. Comput. Phys., 2017)

Cell-centered nonlinear finite-volume methods for the heterogeneous anisotropic diffusion problem. - Kirill M. Terekhov; Bradley T. Mallison; Hamdi A. Tchelepi (J. Comput. Phys., 2017)

Multipoint Distribution of Saturation for Stochastic Nonlinear Two-Phase Transport. - Fayadhoi Ibrahima; Hamdi A. Tchelepi (SIAM/ASA J. Uncertain. Quantification, 2017)

A conservative and well-balanced surface tension model. - Moataz O. Abu-Al-Saud; Stéphane Popinet; Hamdi A. Tchelepi (J. Comput. Phys., 2018)

Dissipation-based continuation method for multiphase flow in heterogeneous porous media. - Jiamin Jiang; Hamdi A. Tchelepi (J. Comput. Phys., 2018)

Multiscale computation of pore-scale fluid dynamics: Single-phase flow. - Yashar Mehmani; Hamdi A. Tchelepi (J. Comput. Phys., 2018)

Sequential fully implicit formulation for compositional simulation using natural variables. - Arthur Moncorgé; Hamdi A. Tchelepi; Patrick Jenny (J. Comput. Phys., 2018)

Sequential implicit nonlinear solver for geothermal simulation. - Zhi Yang Wong; Roland N. Horne; Hamdi A. Tchelepi (J. Comput. Phys., 2018)

Finite-Volume Simulation of Capillary-Dominated Flow in Matrix-Fracture Systems using Interface Conditions. - Ammar Alali; François P. Hamon; Bradley T. Mallison; Hamdi A. Tchelepi (CoRR, 2019)

A general preconditioning framework for coupled multiphysics problems with application to contact- and poro-mechanics. - Massimiliano Ferronato; Andrea Franceschini; Carlo Janna; Nicola Castelletto; Hamdi A. Tchelepi (J. Comput. Phys., 2019)

Multiscale formulation of pore-scale compressible Darcy-Stokes flow. - Bo Guo; Yashar Mehmani; Hamdi A. Tchelepi (J. Comput. Phys., 2019)

Multiscale formulation of two-phase flow at the pore scale. - Yashar Mehmani; Hamdi A. Tchelepi (J. Comput. Phys., 2019)

Sequential-implicit Newton method for multiphysics simulation. - Zhi Yang Wong; Felix Kwok; Roland N. Horne; Hamdi A. Tchelepi (J. Comput. Phys., 2019)

The stochastic counterpart of conservation laws with heterogeneous conductivity fields: Application to deterministic problems and uncertainty quantification. - Amir H. Delgoshaie; Peter W. Glynn; Patrick Jenny; Hamdi A. Tchelepi (J. Comput. Phys. X, 2019)

MeshfreeFlowNet: a physics-constrained deep continuous space-time super-resolution framework. - Chiyu Max Jiang; Soheil Esmaeilzadeh; Kamyar Azizzadenesheli; Karthik Kashinath; Mustafa Mustafa; Hamdi A. Tchelepi; Philip Marcus; Prabhat; Anima Anandkumar (SC, 2020)

Physics Informed Deep Learning for Transport in Porous Media. Buckley Leverett Problem. - Cedric G. Fraces; Adrien Papaioannou; Hamdi A. Tchelepi (CoRR, 2020)

Algebraic stabilization of a Q1-P0 Lagrangian formulation for frictional contact mechanics with hydraulically active fractures. - Andrea Franceschini; Nicola Castelletto; Joshua A. White; Hamdi A. Tchelepi (CoRR, 2020)

Second Order Accurate Hierarchical Approximate Factorization of Sparse SPD Matrices. - Bazyli Klockiewicz; Léopold Cambier; Ryan Humble; Hamdi A. Tchelepi; Eric Darve (CoRR, 2020)

Embedded Fracture Model for Coupled Flow and Geomechanics. - I. Shovkun; T. Garipov; Hamdi A. Tchelepi (CoRR, 2020)

Cell-centered finite-volume method for elastic deformation of heterogeneous media with full-tensor properties. - Kirill M. Terekhov; Hamdi A. Tchelepi (J. Comput. Appl. Math., 2020)

Two-phase multiscale numerical framework for modeling thin films on curved solid surfaces in porous media. - Zhipeng Qin; Soheil Esmaeilzadeh; Amir Riaz; Hamdi A. Tchelepi (J. Comput. Phys., 2020)

Probabilistic forecast of multiphase transport under viscous and buoyancy forces in heterogeneous porous media. - Farzaneh Rajabi; Hamdi A. Tchelepi (CoRR, 2021)

Smooth Implicit Hybrid Upwinding for Compositional Multiphase Flow in Porous Media. - Sebastian B. M. Bosma; François P. Hamon; Bradley T. Mallison; Hamdi A. Tchelepi (CoRR, 2021)

Sequential fully implicit Newton method for compositional flow and transport. - Jiawei Li; Pavel Tomin; Hamdi A. Tchelepi (J. Comput. Phys., 2021)

Multiscale formulation of frictional contact mechanics at the pore scale. - Yashar Mehmani; Nicola Castelletto; Hamdi A. Tchelepi (J. Comput. Phys., 2021)

QuantImPy: Minkowski functionals and functions with Python. - Arnout M. P. Boelens; Hamdi A. Tchelepi (SoftwareX, 2021)

Machine Learning in Heterogeneous Porous Materials. - Marta D'Elia; Hang Deng; Cedric G. Fraces; Krishna C. Garikipati; Lori Graham-Brady; Amanda A. Howard; George Em Karniadakis; Vahid Keshavarzzadeh; Robert M. Kirby; J. Nathan Kutz; Chunhui Li; Xing Liu; et al. (CoRR, 2022)

Comparison of nonlinear field-split preconditioners for two-phase flow in heterogeneous porous media. - Mamadou N'diaye; François P. Hamon; Hamdi A. Tchelepi (CoRR, 2022)

Uncertainty Quantification for Transport in Porous media using Parameterized Physics Informed neural Networks. - Cedric Fraces Gasmi; Hamdi A. Tchelepi (CoRR, 2022)

High resolution adaptive implicit method for reactive transport in heterogeneous porous media. - Ricardo H. Deucher; Hamdi A. Tchelepi (J. Comput. Phys., 2022)

Scalable preconditioning for the stabilized contact mechanics problem. - Andrea Franceschini; Nicola Castelletto; Joshua A. White; Hamdi A. Tchelepi (J. Comput. Phys., 2022)

The FluidFlower International Benchmark Study: Process, Modeling Results, and Comparison to Experimental Data. - Bernd Flemisch; Jan M. Nordbotten; Martin A. Fernø; Ruben Juanes; Holger Class; Mojdeh Delshad; Florian Doster; Jonathan Ennis-King; Jacques Franc; Sebastian Geiger; Dennis Gläser; Christopher Green; et al. (CoRR, 2023)

Learning CO2 plume migration in faulted reservoirs with Graph Neural Networks. - Xin Ju 002; François P. Hamon; Gege Wen; Rayan Kanfar; Mauricio Araya-Polo; Hamdi A. Tchelepi (CoRR, 2023)

Tightly coupled hyperbolic treatment of buoyant two-phase flow and transport in porous media. - Patrick Jenny; Rasim Hasanzade; Hamdi A. Tchelepi (J. Comput. Phys., 2023)

Accelerated nonlinear domain decomposition solver for multi-phase flow and transport in porous media. - Jiamin Jiang; Pavel Tomin; Hamdi A. Tchelepi (J. Comput. Phys., 2023)

Physical-informed deep learning framework for CO2-injected EOR compositional simulation. - Ruixiao Sun; Huanquan Pan; Hongyu Xiong; Hamdi A. Tchelepi (Eng. Appl. Artif. Intell., 2023)

Coupling-strength criteria for sequential implicit formulations. - Jacques Franc; Olav Møyner; Hamdi A. Tchelepi (J. Comput. Phys., 2023)

Pressure-stabilized fixed-stress iterative solutions of compositional poromechanics. - Ryan M. Aronson; Nicola Castelletto; François P. Hamon; Joshua A. White; Hamdi A. Tchelepi (CoRR, 2024)

Pressure stability in explicitly coupled simulations of poromechanics with application to CO2 sequestration. - Ryan M. Aronson; Pavel Tomin; Nicola Castelletto; François P. Hamon; Joshua A. White; Hamdi A. Tchelepi (CoRR, 2024)

Learning CO2 plume migration in faulted reservoirs with Graph Neural Networks. - Xin Ju 002; François P. Hamon; Gege Wen; Rayan Kanfar; Mauricio Araya-Polo; Hamdi A. Tchelepi (Comput. Geosci., 2024)

GEOS: A performance portable multi-physics simulation framework for subsurface applications. - Randolph R. Settgast; Ryan M. Aronson; Julien R. Besset; Andrea Borio; Quan M. Bui; Thomas J. Byer; Nicola Castelletto; Aurélien Citrain; Benjamin C. Corbett; James Corbett; Philippe Cordier; Matthias A. Cremon; et al. (J. Open Source Softw., 2024)

Compositional reservoir simulation with a high-resolution compact stencil adaptive implicit method. - Ricardo H. Deucher; Jacques Franc; Olav Møyner; Hamdi A. Tchelepi (J. Comput. Phys., 2025)