Department of Mechanical Engineering, Unit Catalogue 2008/09 |
ME20021 Modelling techniques 2 |
| Credits: 6 |
| Level: Intermediate |
| Semester: 2 |
| Assessment: CW 40%, EX 60% |
| 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 MATLAB.
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: On successful completion of this unit the study will have: * Demonstrated a knowledge and understanding of how the various standard partial differential equations (PDEs) arise in engineering. * Demonstrated a knowledge and understanding of the use of numerical and analytical techniques in the solution of such PDEs. * Demonstrated a knowledge and understanding of the application of Fourier series and transforms. 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. |