Multicomponent fluid flow by discontinuous Galerkin and mixed methods in unfractured and fractured media

By H. Hoteit, Abbas Firoozabadi. 2005

198 citations recorded by the source corpus.

Subfields: Computational Mechanics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/ef86ac39c0b214ed43ad676515df657134a689a7

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In Computational Mechanics

In Environmental Engineering

Citations in the corpus

Numerical modeling of two-phase flow in heterogeneous permeable media with different capillarity pressures (2008, methodology): “Very fine gridding is needed by the FD method to match the MFE-DG solution [40].”
Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, methodology): “flow problems when applied to the global flow (or pressure) equation in fractional flow formulations (Chavent et al., 1984; Gerritsen and Durlofsky, 2005; Hoteit and Firoozabadi, 2005; Chen et al., 2006).”
Numerical Modeling of Diffusion in Fractured Media for Gas-Injection and -Recycling Schemes (2009, methodology): “The compositional flow is described by using a numerical model that combines the mixedfinite-element (MFE) and discontinuous-Galerkin (DG) methods (Hoteit and Firoozabadi 2005, 2006b, 2006c).”
Compositional Modeling by the Combined Discontinuous Galerkin and Mixed Methods (2004, methodology): “Hoteit and Firoozabadi (2005) combined the DG and MFE methods to approximate single-phase flow of compressible and multicomponent fluid in fractured media.”
An efficient discontinuous Galerkin method for advective transport in porous media (2007, methodology): “Discontinuous Galerkin methods based on explicit temporal discretizations are discussed by Hoteit and Firoozabdi [9].”
An efficient numerical model for multicomponent compressible flow in fractured porous media (2014, methodology): “In their work [30] the pressures are updated iteratively and the species equations are solved explicitly.”
Mixed finite elements for solving 2‐D diffusion‐type equations (2010, background): “…and Putti, 1999; Huber and Helmig, 1999; Nayagum et al., 2004; Hoteit and Firoozabadi, 2008], flow with heat transfer [Chounet et al., 1999; Holstad, 2001], multiphase flow in fractured media [Hoteit and Firoozabadi, 2005, 2008], and numerical upscaling [Durlofsky, 1998; Ma et al., 2006].”
Simulation of Solute Transport Through Fractured Rock: A Higher-Order Accurate Finite-Element Finite-Volume Method Permitting Large Time Steps (2010, methodology): “Hybrid methods for multiphase fluid flow were presented as well (Hoteit and Firoozabadi 2005; Eikemo et al. 2009; Natvig and Lie 2008).”