2D Unsteady convection-diffusion problem
Versión 2.1 (148 KB) por
Andrea La Spina
2D scalar equation of a convection-diffusion problem
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.
Citar como
Andrea La Spina (2024). 2D Unsteady convection-diffusion problem (https://www.mathworks.com/matlabcentral/fileexchange/60867-2d-unsteady-convection-diffusion-problem), MATLAB Central File Exchange. Recuperado .
Compatibilidad con la versión de MATLAB
Se creó con
R2014a
Compatible con cualquier versión
Compatibilidad con las plataformas
Windows macOS LinuxCategorías
- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Structural Mechanics >
Más información sobre Structural Mechanics en Help Center y MATLAB Answers.
Etiquetas
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!Descubra Live Editor
Cree scripts con código, salida y texto formateado en un documento ejecutable.