An HDG formulation for incompressible and immiscible two-phase porous media flow problems

DOI10.1080/10618562.2019.1617855OpenAlexW2947568073WikidataQ127821031 ScholiaQ127821031MaRDI QIDQ5031518

Albert Costa-Solé, Josep Sarrate, Eloi Ruiz-Gironés

Publication date: 16 February 2022

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/165655

zbMATH Keywords

two-phase flowdifferential algebraic equationsincompressiblediagonally implicit Runge-Kutta methodimmisciblehybridisable discontinuous Galerkin method

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Numerical analysis (65-XX)

Related Items (5)

High-order hybridizable discontinuous Galerkin formulation for one-phase flow through porous media ⋮ Analysis of HDG method for the reaction-diffusion equations ⋮ Hybridizable discontinuous Galerkin method with mixed-order spaces for nonlinear diffusion equations with internal jumps ⋮ One-Phase and Two-Phase Flow Simulation Using High-Order HDG and High-Order Diagonally Implicit Time Integration Schemes ⋮ A fully-implicit hybridized discontinuous Galerkin spectral element method for two phase flow in petroleum reservoirs

Cites Work

• To CG or to HDG: A comparative study
• High-order implicit hybridizable discontinuous Galerkin methods for acoustics and elastodynamics
• An explicit construction of interpolation nodes on the simplex
• Fully implicit discontinuous finite element methods for two-phase flow
• An implicit high-order hybridizable discontinuous Galerkin method for linear convection-diffusion equations
• An implicit high-order hybridizable discontinuous Galerkin method for nonlinear convection-diffusion equations
• Adaptive simulations of two-phase flow by discontinuous Galerkin methods
• Tutorial on Hybridizable Discontinuous Galerkin (HDG) for Second-Order Elliptic Problems
• Computational Methods for Multiphase Flows in Porous Media
• High‐order implicit time integration for unsteady incompressible flows
• Numerical Methods for Ordinary Differential Equations

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