Department of Mechanical Engineering, Unit Catalogue 2006/07

ME20021 Modelling techniques 2

Credits: 6

Level: Intermediate

Semester: 2

Assessment: EX60CW40

Requisites:

Before taking this unit you must take ME20014 and in taking this unit you cannot take ME20199

Aims:
* To continue to develop algorithm design and programming techniques in C++.
* To acquire a large variety of numerical and mathematical techniques to be used for those engineering problems modelled in terms of PDEs.
* To provide a strong mathematical and computational foundation for solving equations arising in the modelling of engineering systems.
Learning Outcomes:
After taking this unit the student should be able to:
* Understand how the various standard partial differential equations (PDEs) arise in engineering.
* Understand and use numerical and analytical techniques in the solution of such PDEs.
* Understand and apply the techniques of Fourier series and transforms.
* Understand and apply pointers, class inheritance and polymorphism in C++.
Skills:
Problem solving; numeracy; working independently.
Content:
Fourier's equation of heat conduction, Laplace's equation and Poisson's equation: derivation, numerical solution and analytical solutions. The wave equation: derivation, D'Alembert's solution, separation of variables solution, numerical solution using Method of Characteristics. Fourier series: application in ODEs and PDEs governing various engineering systems. Fourier Transforms: definition, general results, application in solving ODEs and PDEs. C++ pointers, base classes, derived classes and polymorphism.

University | Catalogues for 2006/07