Module Information

Module Identifier
Module Title
Numerical Simulation of Newtonian Flows
Academic Year
Intended for use in future years
Other Staff

Course Delivery

Delivery Type Delivery length / details
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%

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.


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 List

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


This module is at CQFW Level 7