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DRPS : Course Catalogue : School of Engineering : Postgrad (School of Engineering)

Postgraduate Course: Numerical Methods for Chemical Engineers (MSc) (PGEE11169)

Course Outline
SchoolSchool of Engineering CollegeCollege of Science and Engineering
Credit level (Normal year taken)SCQF Level 11 (Postgraduate) AvailabilityNot available to visiting students
SCQF Credits20 ECTS Credits10
SummaryThe 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
Entry Requirements (not applicable to Visiting Students)
Pre-requisites 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:
  1. Engineering Technician: A2 Use appropriate scientific, technical or engineering principles.
  2. Incorporated Engineer: A2 Use a sound evidence-based approach to problem-solving and contribute to continuous improvement.
  3. Chartered Engineer: B Apply appropriate theoretical and practical methods to the analysis and solution of engineering problems
  4. 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
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
KeywordsNumerical methods,computational methods,applied mathematics,chemical engineering
Course organiserDr Daniel Friedrich
Tel: (0131 6)50 5662
Course secretaryMrs Shona Barnet
Tel: (0131 6)51 7715
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