Fully decoupled, linear and positivity-preserving scheme for the chemotaxis-Stokes equations

DOI10.1016/j.cma.2021.113909zbMath1506.76081OpenAlexW3163320520MaRDI QIDQ2237314

Xinlong Feng, Xueling Huang, Kun Wang, Xufeng Xiao

Publication date: 27 October 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2021.113909

zbMATH Keywords

linear schemeflux-corrected transport algorithmpositivity-preserving schemefully decoupled schemechemotaxis-Stokes equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell movement (chemotaxis, etc.) (92C17)

Related Items (6)

Error estimates for the finite element method of the chemotaxis-Navier-Stokes equations ⋮ A nonlinear scheme preserving maximum principle for heterogeneous anisotropic diffusion equation ⋮ A diffuse-domain-based numerical method for a chemotaxis-fluid model ⋮ Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system ⋮ Flux-corrected transport stabilization of an evolutionary cross-diffusion cancer invasion model ⋮ Error Estimate of Unconditionally Stable and Decoupled Linear Positivity-Preserving FEM for the Chemotaxis-Stokes Equations

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