2D Unsteady convection-diffusion problem

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.

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