Contents
1 Tensor mathematics
 1.1 Coordinate system
 1.2 Tensors
 1.3 Algebraic tensor operations
 1.4 OpenFOAM tensor classes
 1.5 Dimensional units
2 Discretisation procedures
 2.1 Differential operators
 2.2 Overview of discretisation
 2.3 Discretisation of the solution domain
 2.4 Equation discretisation
 2.5 Temporal discretisation
 2.6 Boundary Conditions
3 Examples of the use of OpenFOAM
 3.1 Flow around a cylinder
 3.2 Steady turbulent flow over a backward-facing step
 3.3 Supersonic flow over a forward-facing step
 3.4 Decompression of a tank internally pressurised with water
 3.5 Magnetohydrodynamic flow of a liquid
A Notes on certain OpenFOAM programming issues
 A.1 Writing a mesh converter