MAS380 Computational Engineering Mathematics
|Semester 1, 2018/19||10 Credits|
|Lecturer:||Dr Nils Mole||uses MOLE||Reading List|
|Aims||Outcomes||Teaching Methods||Assessment||Full Syllabus|
To provide the necessary mathematical framework to understand advanced computational methods for the solution of complex engineering problems.
This module forms part of a degree course accredited by the Joint Board of Moderators of the I.C.E and I.Struct.E
There are no prerequisites for this module.
No other modules have this module as a prerequisite.
- Tensor algebra and calculus
- Derivation of the equation of equilibrium for solid bodies and the governing equations for fluid motions
- Finite difference approximations to simple partial/ordinary differential equations.
- To develop the ability to construct mathematical formulation for physical or engineering problems.
- To develop the ability to find solutions to engineering problems using numerical methods.
- Understand and be able to do simple calculations and derivations involving tensors
- Understand and be able to derive the basic equations of continuum mechanics
- Understand and be able to derive the basic equations of fluid mechanics
- Have a basic understanding of how to use basic Finite Difference methods in the context of complex engineering problems
Lectures and tutorials.
20 lectures, 10 tutorials
Formal three-hour examination (four questions from five).
- Revision of vector calculus and partial differential equations
- Finite difference approximations
- Tensor algebra and calculus, index notations
- Stress tensor, principal stress, equation of equilibrium for deformable solid body, and stress-strain relations
- Governing equations for fluid motions
|C||Evans, G, Blackledge, J, and Yardley, P.||Numerical Methods for Partial Differential Equations|
|C||Fay, J||Introduction to Fluid Mechanics|
|C||Riley, K F, Hobson, M P and Bence, S J||Mathematical Methods for Physics and Engineering|
|C||Timoshenko, S. and Goodier, J. N.||Theory of Elasticity|
(A = essential, B = recommended, C = background.)
Most books on reading lists should also be available from the Blackwells shop at Jessop West.