Module Identifier MAM0420  
Module Title NUMERICAL SIMULATION OF NEWTONIAN FLOWS  
Academic Year 2006/2007  
Co-ordinator Dr Simon J Cox  
Semester Semester 1  
Other staff 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
Assessment TypeAssessment Length/DetailsProportion
Semester Assessment coursework  100%
Supplementary Assessment coursework  100%

Learning outcomes

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.

Brief description

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.

Aims

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.

Reading Lists

Books
** Recommended Text
H. A. Barnes, J. Hutton and K. Walters (1989) An Introduction to Rheology Elsevier 0444871403
M. J. Crochet, A. R. Davies and K. Walters (1984) Numerical simulation of non-Newtonian flow Elsevier 0444422927
R. G. Owens and T. N. Phillips (2002) Computational Rheology Imperial College Press 1860941869

Notes

This module is at CQFW Level 7