2D Unsteady convection-diffusion problem

Version 2.1 (148 KB) by Andrea La Spina
2D scalar equation of a convection-diffusion problem
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1.8K Downloads
Updated 13 Oct 2021

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The "UNSTEADY_CONVECTION_DIFFUSION" script solves the 2D scalar equation of a convection-diffusion 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.
If you like the file, please give feedbacks.

Cite As

Andrea La Spina (2025). 2D Unsteady convection-diffusion problem (https://www.mathworks.com/matlabcentral/fileexchange/60867-2d-unsteady-convection-diffusion-problem), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2014a
Compatible with any release
Platform Compatibility
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2D Unsteady convection-diffusion

Version Published Release Notes
2.1

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1.6

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1.5

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1.4

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1.3.0.0

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1.2.0.0

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1.1.0.0

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1.0.0.0