Computational Mechanics

The first part of this blog is dedicated to the analysis of the stability for a pure 1-D unsteady convection equation, according to the temporal and spatial schemes used. The second part only explicits stability conditions for a 1-D convection-diffusion equation.

Two techniques to calculate gradient evaluation on unstructured grids (cell-centered colocated arrangment)

Finite-Volumes Method (FVM) was first introduced independantly by Mc Donald (1971) and Mc Cormack and Paullay (1972).

We introduce finite difference for 1D pure diffusion problem