Discontinuous finite volume element discretization for coupled flow-transport problems arising in models of sedimentation
DOI10.1016/j.jcp.2015.07.020zbMath1351.76098OpenAlexW1045170047MaRDI QIDQ729285
Ricardo Ruiz-Baier, Sarvesh Kumar, Raimund Bürger
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2015.07.020
error estimatessemi-discrete schemegravity flowsconvergence to the weak solutiondiscontinuous finite volume element methodsnonlinear coupled flow and transportsedimentation-consolidation processes
PDEs in connection with fluid mechanics (35Q35) Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element methods applied to problems in fluid mechanics (76M10) Suspensions (76T20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A flux-corrected transport algorithm for handling the close-packing limit in dense suspensions
- A discontinuous mixed covolume method for elliptic problems
- Analysis of a finite volume element method for the Stokes problem
- A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
- Mixed finite element - discontinuous finite volume element discretization of a general class of multicontinuum models
- On the finite volume element method
- Error estimates for discontinuous Galerkin method for nonlinear parabolic equations
- Finite element/volume solution to axisymmetric conservation laws
- Equal order discontinuous finite volume element methods for the Stokes problem
- A new stabilized finite volume method for the stationary Stokes equations
- A synchronous and iterative flux-correction formalism for coupled transport equations
- Numerical solution of a multidimensional sedimentation problem using finite volume-element methods
- \(hp\)-discontinuous Galerkin methods for strongly nonlinear elliptic boundary value problems
- A Finite Volume Element Method for a Nonlinear Parabolic Problem
- 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
- Generalized Difference Methods for a Nonlinear Dirichlet Problem
- A Physical Introduction to Suspension Dynamics
- Résolution d’un problème aux limites dans un ouvert axisymétrique par éléments finis en $r, z$ et séries de Fourier en $\theta $
- A finite volume element method for a non‐linear elliptic problem
- Discontinuous Galerkin finite volume element methods for second-order linear elliptic problems
- An Interior Penalty Finite Element Method with Discontinuous Elements
- Efficient Time-Stepping Methods for Miscible Displacement Problems in Porous Media
- The initial value problem for a generalized Boussinesq model
- A monotone finite element scheme for convection-diffusion equations
- Consistency with continuity in conservative advection schemes for free-surface models
- A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
- Granular Media
- A New Discontinuous Finite Volume Method for Elliptic Problems
- An Introduction to Gravity Currents and Intrusions
- Stabilized mixed approximation of axisymmetric Brinkman flows
- An upwind finite‐volume element scheme and its maximum‐principle‐preserving property for nonlinear convection–diffusion problem
- Unified Analysis of Finite Volume Methods for the Stokes Equations
- Fluctuations and Instability in Sedimentation
- Multiscale enrichment of a finite volume element method for the stationary Navier–Stokes problem
- A Discontinuous Finite Volume Method for the Stokes Problems
- Analysis and convergence of a covolume method for the generalized Stokes problem