This is the web site of the CFD@AUB research group.  The main thrust of the group has been in the development of a wide range of numerical methods for the solution of flow problems using the Finite Volume Method.

The Finite Volume Method

The Finite Volume Method is one of premiere numerical methods used in the simulation of fluid flows. THe basic characteristics that makes it suitable for this type of applications is that it is fully conservative. By this we mean that at any mesh density level transported quantities are fully conserved. This basic property is because the methods discretizes an integral form of the geoverning equation, yielding a semi-discrete balance equation.

A Finite Volume Discretization is a two step process that involved first the trasformation of the geoverning equations into a set of semi-discrete balance equations, followed by the transformation of these equations into a set of algebraic equations.  Each of these steps requires some assumptions with regard to the accuracy of the method (number of integration points, ...) and with regard to the type of profile assumed between control volumes