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A Lagrangian–Eulerian finite element algorithm for advection–diffusion–reaction problems with phase change

Author
Oliveira, B.; Afonso, J. C.; Zlotnik, S.
Type of activity
Journal article
Journal
Computer methods in applied mechanics and engineering
Date of publication
2016-03
Volume
300
First page
375
Last page
401
DOI
https://doi.org/10.1016/j.cma.2015.11.028 Open in new window
Repository
http://hdl.handle.net/2117/99876 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0045782515003886 Open in new window
Abstract
This paper presents a particle-based Lagrangian–Eulerian algorithm for the solution of the unsteady advection–diffusion–reaction heat transfer equation with phase change. The algorithm combines a Lagrangian formulation for the advection + reaction problem with the Eulerian-based heat source method for the diffusion + phase change problem. The coupling between the Lagrangian and Eulerian subproblems is achieved with a phase change detector scheme based on a local latent heat balance and a c...
Citation
Oliveira, B., Afonso, J. C., Zlotnik, S. A Lagrangian–Eulerian finite element algorithm for advection–diffusion–reaction problems with phase change. "Computer methods in applied mechanics and engineering", Març 2016, vol. 300, p. 375-401.
Keywords
Advection–diffusion–reaction, Heat source method, Interpolation, Lagrangian–Eulerian FEM, Phase change
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

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