- Governing equations and models in fluid mechanics
- Steady problems: the Finite-Difference Method (FDM)
- Unsteady problems: methods of time integration
- Advection-diffusion problems
- The Finite-Volume Method
- Solution of the incompressible Navier-Stokes equations
- Grids and their properties
- Boundary conditions
The students who successfully take this module should:
- understand the physical meaning and mathematical character of the terms in advection-diffusion equations and the Navier-Stokes equations
- assess under what circumstances some terms in these equations can be negelcted
- formulate a FDM for the solution of unsteady transport equations
- asess the convergence, consistency and stability of a FDM
- formulate a FVM for the solution of unsteady transport equations
- know how to solve the Navier-Stokes equation with the FVM
- implmement programs in matlab/octave to simulate fluid flow
- assess the quality and validity of a fluid flow simulation
- work in team and write a report describing the results and significance of a simulation
- know the different types of grids and when to use them