Lectures are oriented upon fundamentals of CFD and first of all to control volume methods (application using Fluent)

1. Applications
Aerodynamics. Drag coefficient.
hydraulic systems (fuel pumps, injectors), spray and droplet formation, new application magnetorheological and electrorheological fluids / suspension, brakes.
Turbomachinery.
Chemical engineering reactors, combustion.

2.Implementation CFD in standard software packages Fluent Ansys Gambit.
Problem classification: compressible/incompressible. Types of PDE (hyperbolic, eliptic, parabolic) - examples.

3.Weighted residual Methods (steady state methods, transport equations). Finite differences, finite element, control volume and meshless methods.

4. Mathematical and physical requirements of good numerical methods: stability, boundedness, transportiveness. Order of accuracy. Stability analysis of selected schemes.

5. Balancing (mass, momentum, energy). Fluid element and fluid particle. Transport equations.

6. Navier Stokes equations. Turbulence. Transition laminar-turbulent. RANS models: gradient diffusion (Boussinesque). Prandtl, Spalart Alamaras, k-epsilon, RNG, RSM. LES, DNS.

7. Navier Stokes equations solvers. Problems: checkerboard pattern. Control volume methods: SIMPLE, and related techniques for solution of pressure linked equations. Approximation of convective terms (upwind, QUICK). Techniques implemented in Fluent.

8. Applications: Combustion (PDF models), multiphase flows.

Fluent tutorials

Fundamental mathematics (derivatives, integrals, vectors)