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This course provides a detailed introduction to numerical methods used in chemical engineering. The course includes an introduction to the theory of numerical methods as well as practical guidance on the implementation of these tools to a variety of problems. The course is about 2/3 on numerical methods for simulation and 1/3 on computational fluid dynamics (CFD).
Numerical methods for the simulation of chemical processes (Matthew Watson, weeks 1-3, 18 Feb to 8 Mar)• methods for solution of non-linear, poorly scaled, algebraic equations• solution of large systems of ODEs• modelling and solution of differential-algebraic equation (DAE) systems• modelling of distributed parameter systems• solution of partial differential equation systems using the method of lines• using sparsity for speedOptimisation and parameter estimation (Ken Morison, weeks 4-7, 11 March – 5 Apr)• optimisation• optimisation for non-linear curve fitting• design and analysis of experiments using non-linear models• parameter uncertainty in linear models• modelling uncertainty in systems• optimisation of dynamic systems, including parameter estimationCFD (James Hewett, weeks 8-10, 29 Apr – 17 May)• formulation of physical problems as CFD problems• mathematical terminology used for CFD• introduction to mathematics of CFD• use of a standard CFD package• setting up physical geometries• interpretation and validation of results
1. Develop and numerically solve models of chemical engineering processes.2. Identify and apply the numerical tools appropriate to a particular problem.3. Apply optimisation and parameter estimation to steady state and dynamic problems in chemical engineering.4. Formulate chemical engineering problems as CFD problems using standard software.5. Critique CFD results to estimate the accuracy and help guide design.
ENCH391 Process Systems and Control
Workload36 contact hours and completion of all assessments. If required there will be dedicated computer lab sessions.
For further information see Chemical and Process Engineering Head of Department
Recommended Reading:Hangos, K. and Cameron, I.T. (2001) Process Modelling and Model Analysis, Academic Press.Beers, K.J. (2007) Numerical Methods for Chemical Engineers: Applications in Matlab, Cambridge University Press, Cambridge, UK.Schiesser, W.E. (2009) A Compendium of Partial Differential Equation Models: Method of Lines Analysis with Matlab, Cambridge University Press, Cambridge, UK.Chapra, S.C. and Canale, R.P. (2010) Numerical Methods for Engineers, 6th ed., McGraw-Hill, Boston.
ConcernsStudents with concerns about the course should contact any of the lecturers listed above, the 3rd Pro Director of Studies or the Head of Department.General Policies of the DepartmentStudents may obtain the general policies of the University on matters such as the applications for special consideration, appeals procedures, reconsideration of grades and special provision for students with disabilities from the University Calendar.
Prerequisite: ENCH391. In addition good mathematics and Matlab skills are recommended. This course is an optional 3rd Professional depth elective.
Assessment will be by assignment with no final examination.Numerical methods 1 - Due 4th March by 5pm - 13%Numerical methods 2 - Due 18th March by 5pm - 20%Optimisation - Due 1st April by 5pm - 13%Parameter Estimation - Due 1st May by 5pm - 20%CFD Tutorial Problem - Due 3rd May by 5pm - 1%CFD Assignment 1 - Due 17th May by 5pm - 15%CFD Assignment 2 - Due 31st May by 5pm - 18%
Domestic fee $956.00
International fee $5,250.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
This course will not be offered if fewer than 10 people apply to enrol.
For further information see Chemical and Process Engineering .