MAM0420 - NUMERICAL SIMULATION OF NEWTONIAN FLOWS

Module Identifier

MAM0420

Module Title

NUMERICAL SIMULATION OF NEWTONIAN FLOWS

Academic Year

2004/2005

Co-ordinator

Professor Tim Phillips

Semester

Semester 1

Course delivery

Lecture

16 x 1 hour lectures

Seminars / Tutorials

4 x 1 hour example classes

Assessment

Assessment Type	Assessment Length/Details	Proportion
Semester Assessment	Coursework.	100%
Supplementary Assessment	Coursework.	100%

Learning outcomes

On completion of this module, students should be able to

Discretize the governing equations using a variety of numerical methods.
Discuss the relative merits of different numerical techniques.
Discuss the treatment of the convection terms.
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