Analysis of Flux Corrected Transport Schemes for Evolutionary Convection-Diffusion-Reaction Equations

2021/03/08 by Abhinav Jha, Naveed Ahmed, Jha, Abhinav +1
Engineering · Mathematics · #65N12 #65N30 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Differential Equations and Numerical Methods #FOS: Mathematics #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2103.04776

openalex publication_date 2021/03/08 · openalex created_date 2021/03/15 · openalex updated_date 2026/07/28

Abstract

We report in this paper the analysis for the linear and nonlinear version of the flux corrected transport (FEM-FCT) scheme in combination with the backward Euler time-stepping scheme applied to time-dependent convection-diffusion-reaction problems. We present the stability and error estimates for the linear and nonlinear FEM-FCT scheme. Numerical results confirm the theoretical predictions.

Citations

• Fully multidimensional flux-corrected transport algorithms for fluids

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