|
MSc in Mathematical Modelling & Scientific Computing MSc in Applied and Computational Mathematics | Special topic |
12 lectures HT 2004 Dr P Moinier |
The aim of this lecture course is to present some theoretical aspects of numerical analysis within a practical framework. The application area of particular interest to us will be the approximate solution of the equations of fluid dynamics, considering the use of Finite Difference, Finite Element and Finite Volume Techniques. Various simple models for fluid flows are considered and corresponding numerical techniques are presented with a discussion of their basic properties. Practical methods that are typically used for solving the incompressible Navier Stokes equations and the compressible Euler Equations are then reviewed.Reading List
D Anderson, J Tannehill and R Pletcher Computational Fluid Mechanics and Heat transfer, McGraw-Hill, 1994
C Hirsch, Numerical Computation of Internal and External Flows Vols I and II, John Wiley & Sons, 1990