Discontinuous approximation of viscous two-phase flow in heterogeneous porous media
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Publication:726917
DOI10.1016/j.jcp.2016.05.043zbMath1349.76313OpenAlexW2408367002MaRDI QIDQ726917
Sarvesh Kumar, Kenettinkara Sudarshan Kumar, Ricardo Ruiz-Baier, Raimund Bürger
Publication date: 5 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://ora.ox.ac.uk/objects/uuid:c4d6c754-b216-4205-9c9f-104a018a4bde
stabilizationRunge-Kutta discontinuous Galerkin methodstwo phase flowBrinkman equationsfinite volume element methodsdiscontinuous fluxes
Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
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Cites Work
- Unnamed Item
- A finite volume method for a two-phase multicomponent polymer flooding
- A new Runge-Kutta discontinuous Galerkin method with conservation constraint to improve CFL condition for solving conservation laws
- Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes
- An augmented-Lagrangian method for the phase-field approach for pressurized fractures
- A fully discrete stabilized mixed finite volume element formulation for the non-stationary conduction-convection problem
- On high order strong stability preserving Runge-Kutta and multi step time discretizations
- Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units
- Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media
- A fully-coupled discontinuous Galerkin method for two-phase flow in porous media with discontinuous capillary pressure
- Mixed finite element - discontinuous finite volume element discretization of a general class of multicontinuum models
- Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation
- Shock capturing with PDE-based artificial viscosity for DGFEM. I: Formulation
- Equal order discontinuous finite volume element methods for the Stokes problem
- On maximum-principle-satisfying high order schemes for scalar conservation laws
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- The Runge-Kutta discontinuous Galerkin method for conservation laws. I: Multidimensional systems
- Parallel, adaptive finite element methods for conservation laws
- Accurate monotonicity-preserving schemes with Runge-Kutta time stepping
- A limiting approach for DG discretizations on mixed type meshes
- The DFLU flux for systems of conservation laws
- Numerical solution of a multidimensional sedimentation problem using finite volume-element methods
- Fully adaptive multiresolution schemes for strongly degenerate parabolic equations with discontinuous flux
- New fully-mixed finite element methods for the Stokes-Darcy coupling
- A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
- A discontinuous finite volume element method for second-order elliptic problems
- A Stabilized Finite Volume Element Formulation for Sedimentation-Consolidation Processes
- A mixed and discontinuous Galerkin finite volume element method for incompressible miscible displacement problems in porous media
- Multiphase Processes in Porous Media
- The Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws. IV: The Multidimensional Case
- Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
- TVB Runge-Kutta Local Projection Discontinuous Galerkin Finite Element Method for Conservation Laws II: General Framework
- Simple nonconforming quadrilateral Stokes element
- Total variation diminishing Runge-Kutta schemes
- On The Interface Boundary Condition of Beavers, Joseph, and Saffman
- Godunov-Type Methods for Conservation Laws with a Flux Function Discontinuous in Space
- Discontinuous finite volume element method for parabolic problems
- Slope limiting for discontinuous Galerkin approximations with a possibly non‐orthogonal Taylor basis
- Stabilized mixed approximation of axisymmetric Brinkman flows
- Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments
- A Discontinuous Finite Volume Method for the Stokes Problems
- A problem-independent limiter for high-order Runge-Kutta discontinuous Galerkin methods
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