Postgraduate Course: Numerical Methods for Chemical Engineers (MSc) (PGEE11169)
Course Outline
| School | School of Engineering |
College | College of Science and Engineering |
| Credit level (Normal year taken) | SCQF Level 11 (Postgraduate) |
Availability | Not available to visiting students |
| SCQF Credits | 20 |
ECTS Credits | 10 |
| Summary | The problems a chemical engineering faces today range from molecular simulations to computational fluid dynamics and reaction and process modelling. These areas span a wide range of time and length scales and sophisticated numerical methods are required to reach a solution. This course introduces computational and mathematical methods for the solution of multi-scale chemical engineering problems. |
| Course description |
Week - Lecture topic (Tutorial/Assignment)
1 Linear equation systems (Matlab refresh)
Linear equation system solvers
2 Nondimensionalisation
Nonlinear algebraic equations
3 Nonlinear systems solvers (Nonlinear systems)
Parameter estimation
4 ODE introduction
Explicit ODE solvers
5 Stiff systems and DAEs (ODE)
Implicit methods 1
6 Implicit methods 2
PDE introduction
7 Method of lines with FDM 1 (PDE)
Method of lines with FDM 2
8 Optimisation introduction
Linear programming
9 Nonlinear optimisation 1 (Optimisation)
Nonlinear optimisation 2
10 Model vs Data: fitting
Uncertainty in data and models
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Entry Requirements (not applicable to Visiting Students)
| Pre-requisites |
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Co-requisites | |
| Prohibited Combinations | |
Other requirements | None |
Course Delivery Information
| Not being delivered |
Learning Outcomes
On completion of this course, the student will be able to:
- Engineering Technician: A2 Use appropriate scientific, technical or engineering principles.
- Incorporated Engineer: A2 Use a sound evidence-based approach to problem-solving and contribute to continuous improvement.
- Chartered Engineer: B Apply appropriate theoretical and practical methods to the analysis and solution of engineering problems
- Chartered Engineer: B2 Conduct appropriate research, and undertake design and development of engineering solutions. This could include an ability to: o Collect, analyse and evaluate the relevant data o Undertake engineering design
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Reading List
Core reading list
-Kenneth J. Beers: Numerical Methods for Chemical Engineering, Applications in Matlab, electronic version available
-Rutherford Aris: Mathematical modeling. A chemical engineer's perspective, electronic version available
Extended reading list
-Richard G. Rice, Duong D. Do: Applied Mathematics and Modeling for Chemical Engineers
-Mark E. Davis: Numerical Methods and Modeling for Chemical Engineers, electronic version available
-Kamal I. M. Al-Malah: MATLAB Numerical Methods with Chemical Engineering Applications, electronic version available
-Michael B. Cutlip, Mordechai Shacham: Problem Solving in Chemical Engineering with Numerical Methods
-Norman W. Loney: Applied Mathematical Methods for Chemical Engineers
Numerical algorithms
-William H. Press: Numerical Recipes in C: The Art of Scientific Computing
Partial differential equations
-Leon Lapidus, George F. Pinder: Numerical Solution of Partial Differential Equations in Science and Engineering |
Additional Information
| Graduate Attributes and Skills |
Not entered |
| Keywords | Numerical methods,computational methods,applied mathematics,chemical engineering |
Contacts
| Course organiser | Dr Daniel Friedrich
Tel: (0131 6)50 5662
Email: |
Course secretary | Mrs Shona Barnet
Tel: (0131 6)51 7715
Email: |
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