A positivity-preserving ALE finite element scheme for convection-diffusion equations in moving domains

DOI10.1016/j.jcp.2010.12.042zbMath1218.65106OpenAlexW2030757230MaRDI QIDQ543713

Dmitri Kuzmin, Oleg Boiarkine, Giovanna Guidoboni, Sunčica Čanić, Andro Mikelić

Publication date: 17 June 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.12.042

zbMATH Keywords

algorithmfinite elementsconvection-diffusion equationnumerical examplesmoving boundariesflux-corrected transportconservative arbitrary Lagrangian Eulerian formulation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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Uses Software

• FreeFem++
• SHASTA

Cites Work

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• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works