Mathematics

Topics/Syllabus

• Introduction to CFD, examples.
• Constitutive laws
• Incompressible flows.
• Numerical methods for potential and thermal flows
• Boundary layer theory
• Thermodynamics effects, energy equation, enthalpy and entropy
• Vorticity equations
• Introduction to turbulence
• Numerical methods for viscous flows: steady Stokes equations
• Stabilisation (SUPG) and inf-sup condition
• Numerical methods for nonlinear viscous flows: steady Navier-Stokes equations (Newton and Fixed Point vectorial methods)
• Discretisation techniques for steady and unsteady Navier-Stokes equations.   
• Worked problems/CFD exercises session based  FEM by FEniCS(-X) by Dr Michele Girfoglio, Dr Federico Pichi, Dr Ivan Prusak