A Discontinuous Galerkin Finite Element Method for Multiphase Viscous Flow
From MaRDI portal
Publication:5502084
DOI10.1137/14098497XzbMath1326.76068MaRDI QIDQ5502084
Publication date: 17 August 2015
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10) Three or more component flows (76T30)
Related Items
Partitioned coupling of advection-diffusion-reaction systems and Brinkman flows, Coupling of Discontinuous Galerkin Schemes for Viscous Flow in Porous Media with Adsorption, Energy Law Preserving Finite Element Scheme for the Cahn-Hilliard Equation with Dynamic Boundary Conditions<sup>†</sup>, A fictitious domain approach for a mixed finite element method solving the two-phase Stokes problem with surface tension forces, Mixed and discontinuous finite volume element schemes for the optimal control of immiscible flow in porous media
Cites Work
- Unnamed Item
- A multiphase model describing vascular tumour growth
- A numerical method for the multiphase viscous flow equations
- Discontinuous Galerkin finite element methods for incompressible nonlinear elasticity
- A mathematical model for mesenchymal and chemosensitive cell dynamics
- Discontinuous Galerkin methods for incompressible and nearly incompressible elasticity by Nitsche's method
- Multiphase modelling of vascular tumour growth in two spatial dimensions
- Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations.
- Discontinuous Galerkin methods for incompressible elastic materials
- An \(hp\)-adaptive mixed discontinuous Galerkin FEM for nearly incompressible linear elasticity
- Mathematical modelling of engineered tissue growth using a multiphase porous flow mixture theory
- hp-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems
- Discontinuous Galerkin methods for non-linear elasticity
- A posteriori error analysis of hp-version discontinuous Galerkin finite-element methods for second-order quasi-linear elliptic PDEs
- Infiltration of initially dry, deformable porous media
- Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes
- The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
- Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws
- Mixedhp-DGFEM for Incompressible Flows
- Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
- Multiphase flow in a roll press nip
- hp‐Discontinuous Galerkin finite element methods for hyperbolic problems: error analysis and adaptivity
- A discontinuous Galerkin method with nonoverlapping domain decomposition for the Stokes and Navier-Stokes problems
- Thin-film theories for two-phase reactive flow models of active cell motion
- Models for the Growth of a Solid Tumor by Diffusion
- Natural convection in a mushy layer
