2D Unsteady convection-diffusion-reaction problem
Version 3.1 (303 ko) par
Andrea La Spina
2D scalar equation of a convection-diffusion-reaction problem
The "UNSTEADY_CONVECTION_DIFFUSION_REACTION_2D" script solves the 2D scalar equation of a convection-diffusion-reaction problem with bilinear quadrangular elements.
The space discretization is performed by means of the standard Galerkin approach.
For the time integration the theta-method has been implemented. According to the value of theta these schemes are obtained:
0 -> Forward Euler
1/2 -> Crank-Nicolson
3/4 -> Galerkin
1 -> Backward Euler
The FEM parameters such as the number of finite elements and the number of Gauss integration points can be easily chosen.
The functions and the examples are developed according with Chapter 5 "Unsteady convection-diffusion
problems" of the book "Finite Element Methods for flow problems" of Jean Donea and Antonio Huerta.
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Citation pour cette source
Andrea La Spina (2026). 2D Unsteady convection-diffusion-reaction problem (https://fr.mathworks.com/matlabcentral/fileexchange/60671-2d-unsteady-convection-diffusion-reaction-problem), MATLAB Central File Exchange. Extrait(e) le .
Compatibilité avec les versions de MATLAB
Créé avec
R2014a
Compatible avec toutes les versions
Plateformes compatibles
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- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Structural Mechanics >
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2D Unsteady convection-diffusion-reaction
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