Numerical Method

The basic mathematical model are the dimensionless time-dependent incompressible Navier-Stokes equations

subject to appropriate initial and boundary conditions. is the dimensionless Reynolds-number which determines the ration between inertia and viscous forces in the flow. the Reynolds-number is given by

If thermal effects or the behaviour
of a scalar, driven by the flow, are of interest, () and () are completed
by equations for the energy (temperature) and the transport of a scalar

is the temperature and the scalar. The dimensionless number is the Prandtl number and is given by

- The Projection-Method
- The Boussinesq-Approximation
- Time discretization
- Boundary conditions
- Computational grid and spatial discretization
- Discretization of boundary conditions