|| MAM0420 |
|| NUMERICAL SIMULATION OF NEWTONIAN FLOWS |
|| 2007/2008 |
|| Professor Russell Davies |
|| Semester 1 |
|| Dr Simon J Cox, Professor Tim Phillips |
| Course delivery
|| Lecture || 16 Hours. (16 x 1 hour lectures) |
|| Seminars / Tutorials || 4 Hours. (4 x 1 hour example classes) |
|Assessment Type||Assessment Length/Details||Proportion|
|Semester Assessment|| coursework ||100%|
|Supplementary Assessment|| coursework ||100%|
On completion of this module, students should be able to
1. Discretize the governing equations using a variety of numerical methods.
2. Discuss the relative merits of different numerical techniques.
3. Discuss the treatment of the convection terms.
4. Discretize time-dependent problems.
This module provides an introduction to the basic numerical methods used to simulate the flow of Newtonian fluids. Different formulations of the governing equations will be introduced and their relative merits discussed. The treatment of the convection term will be described and the effect this has on the overall stability of the schemes in the case of convection-dominated flows. The solution of the resulting systems of equations will be described using coupled and decoupled approaches.
This module will provide an introduction to numerical methods for solving incompressible flow problems. Important aspects related to the approximation of the equations governing the flow of Newtonian fluids will be discussed and described.
** Recommended Text
H. A. Barnes, J. Hutton and K. Walters (1989) An Introduction to Rheology
M. J. Crochet, A. R. Davies and K. Walters (1984) Numerical simulation of non-Newtonian flow
R. G. Owens and T. N. Phillips (2002) Computational Rheology
Imperial College Press 1860941869
This module is at CQFW Level 7