A time-space flux-corrected transport finite element formulation for solving multi-dimensional advection-diffusion-reaction equations

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

zbMATH Keywords

finite element methodBurgers' equationadvection-diffusion-reaction equationbiofilm modelingtime-space flux-corrected transport

Mathematics Subject Classification ID

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)

Related Items (4)

Modeling of symbiotic bacterial biofilm growth with an example of the \textit{Streptococcus-Veillonella} sp. system ⋮ Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations ⋮ Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model ⋮ Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws

Uses Software

• SHASTA

Cites Work

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