A time-space flux-corrected transport finite element formulation for solving multi-dimensional advection-diffusion-reaction equations
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Publication:2222403
DOI10.1016/j.jcp.2019.06.053zbMath1452.76087OpenAlexW2954298832MaRDI QIDQ2222403
Udo Nackenhorst, Insa Neuweiler, Dian-Lei Feng, Thomas Wick
Publication date: 27 January 2021
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2019.06.053
finite element methodBurgers' equationadvection-diffusion-reaction equationbiofilm modelingtime-space flux-corrected transport
Diffusion (76R50) Biomechanics (92C10) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Reaction effects in flows (76V05) Applications to the sciences (65Z05)
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Cites Work
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- A frame-invariant vector limiter for flux corrected nodal remap in arbitrary Lagrangian-Eulerian flow computations
- Entropy viscosity method for nonlinear conservation laws
- Finite element methods for linear hyperbolic problems
- Finite element methods for time-dependent convection-diffusion-reaction equations with small diffusion
- A fifth-order finite volume weighted compact scheme for solving one-dimensional Burgers' equation
- Fully multidimensional flux-corrected transport algorithms for fluids
- A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
- Explicit and implicit FEM-FCT algorithms with flux linearization
- On spurious oscillations at layers diminishing (SOLD) methods for convection-diffusion equations. I: A review
- A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
- A new finite element formulation for computational fluid dynamics. VI. Convergence analysis of the generalized SUPG formulation for linear time- dependent multidimensional advective-diffusive systems
- Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
- A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests
- A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders
- The variational multiscale method -- a paradigm for computational mechanics
- Flux correction tools for finite elements
- High-order methods for computational fluid dynamics: a brief review of compact differential formulations on unstructured grids
- High-order local maximum principle preserving (MPP) discontinuous Galerkin finite element method for the transport equation
- Flux-corrected transport algorithms for continuous Galerkin methods based on high order Bernstein finite elements
- Flux-corrected transport techniques applied to the radiation transport equation discretized with continuous finite elements
- High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
- A discontinuity-capturing crosswind-dissipation for the finite element solution of the convection-diffusion equation
- Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
- Residual-based stabilized higher-order FEM for advection-dominated problems
- A multidimensional multispecies continuum model for heterogeneous biofilm development
- High-resolution FEM--FCT schemes for multidimensional conservation laws
- A high order term-by-term stabilization solver for incompressible flow problems
- Enriched space-time finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics
- A combined FIC-TDG finite element approach for the numerical solution of coupled advection-diffusion-reaction equations with application to a bioregulatory model for bone fracture healing
- Space-time finite element computation of complex fluid-structure interactions
- Analysis of Algebraic Flux Correction Schemes
- Some analytical results for an algebraic flux correction scheme for a steady convection–diffusion equation in one dimension
- Finite element flux-corrected transport (FEM-FCT) for the euler and Navier-Stokes equations
- On pressure boundary conditions for the incompressible Navier-Stokes equations
- Error Estimates and Adaptive Time-Step Control for a Class of One-Step Methods for Stiff Ordinary Differential Equations
- Time finite element methods for structural dynamics
- Iterative methods for stabilized discrete convection-diffusion problems
- An Analysis of the Discontinuous Galerkin Method for a Scalar Hyperbolic Equation
- CONVERGENCE OF THE DISCONTINUOUS GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS
- High-Resolution Conservative Algorithms for Advection in Incompressible Flow
- Computational Fluid–Structure Interaction
- Finite volume schemes for diffusion equations: Introduction to and review of modern methods
- On Monotonicity-Preserving Stabilized Finite Element Approximations of Transport Problems
- Modelling of fluid–structure interactions with the space–time finite elements: Solution techniques
- Goal‐oriented space–time adaptivity in the finite element Galerkin method for the computation of nonstationary incompressible flow
- Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
- Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
- Control-volume discretization method for quadrilateral grids with faults and local refinements
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