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2D Unsteady convection-diffusion-reaction problem

version 2.4 (301 KB) by Andrea La Spina
2D scalar equation of a convection-diffusion-reaction problem

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Updated 13 Feb 2020

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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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Cite As

Andrea La Spina (2020). 2D Unsteady convection-diffusion-reaction problem (https://www.mathworks.com/matlabcentral/fileexchange/60671-2d-unsteady-convection-diffusion-reaction-problem), MATLAB Central File Exchange. Retrieved .

Comments and Ratings (2)

I am working to model Three way Converter and I found this very useful for 2D diffusion and reaction.

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MATLAB Release Compatibility
Created with R2014a
Compatible with any release
Platform Compatibility
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