APP MTH 7048 - Applied Mathematics Topic A
North Terrace Campus - Semester 1 - 2017
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General Course Information
Course Details
Course Code APP MTH 7048 Course Applied Mathematics Topic A Coordinating Unit Mathematical Sciences Term Semester 1 Level Postgraduate Coursework Location/s North Terrace Campus Units 3 Available for Study Abroad and Exchange Y Assessment ongoing assessment 30%, exam 70% Course Staff
Course Coordinator: Dr Trent Mattner
Course Timetable
The full timetable of all activities for this course can be accessed from Course Planner.
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Learning Outcomes
Course Learning Outcomes
In 2016, the topic of this course will be Modelling and Simulation of Turbulent Flows.
Syllabus
Turbulent fluid flows are important in many problems of technological and scientific interest, including vehicle drag reduction, energy
production and climate prediction, to name a few. The dynamics of turbulence are governed by the Navier-Stokes equations,
which are a system of nonlinear partial differential equations, for which no general solution has yet been found. Approximate solutions of
the Navier-Stokes equations can be found numerically, but turbulent flows exhibit such a huge range of spatial and temporal
scales that such computations are often infeasible, even on the biggest supercomputers. Consequently, simplified mathematical models that account for the effects of turbulence are necessary in order to obtain predictions of turbulent flows. This course will
cover the mathematical description of turbulent flows, the numerical methods needed to solve the Navier-Stokes equations, and some of the models used to predict turbulent flows. Topics include: Navier-Stokes equations, boundary layers, flow stability, spectral
and finite difference solutions of the Navier-Stokes equations, mathematical description of turbulence, Reynolds-Averaged Navier-Stokes Simulations (RANS), Large-Eddy Simulations (LES), and the stretched-vortex model. The course will have significant computational content.
Assumed knowledge includes Fluid Mechanics III, Modelling with ODEs III and PDEs and Waves III.
Learning Outcomes1 Derive and interpret the conservation equations that govern turbulent fluid flow 2 Find and interpret similarity solutions of the Navier-Stokes equations 3 Derive and solve boundary-layer equations for fluid flows 4 Formulate and solve elementary flow stability problems 5 Solve the Navier-Stokes equations numerically 6 Use and understand common turbulent flow statistics 7 Derive and interpret the Reynolds-averaged Navier-Stokes (RANS) equations 8 Find similarity solutions of the RANS equations using simple turbulence models 9 Derive and interpret the governing equations used for large-eddy simulations (LES) 10 Understand how to apply subgrid models to run large-eddy simulations of turbulence University Graduate Attributes
This course will provide students with an opportunity to develop the Graduate Attribute(s) specified below:
University Graduate Attribute Course Learning Outcome(s) Deep discipline knowledge
- informed and infused by cutting edge research, scaffolded throughout their program of studies
- acquired from personal interaction with research active educators, from year 1
- accredited or validated against national or international standards (for relevant programs)
all Critical thinking and problem solving
- steeped in research methods and rigor
- based on empirical evidence and the scientific approach to knowledge development
- demonstrated through appropriate and relevant assessment
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Learning Resources
Required Resources
None.Recommended Resources
Pope, S. B., Turbulent Flows. Cambridge University Press, 2009.Online Learning
This course uses MyUni exclusively for providing electronic resources, such as assignments and handouts, and for making course announcements. It is recommended that students make appropriate use of these resources. Link to MyUni login page: https://myuni.adelaide.edu.au/webapps/login/ -
Learning & Teaching Activities
Learning & Teaching Modes
This course relies on lectures as the primary delivery mechanism for the material. Tutorials supplement the lectures by providing exercises and example problems to enhance the understanding obtained through lectures. A sequence of written assignments provides assessment opportunities for students to gauge their progress and understanding.Workload
The information below is provided as a guide to assist students in engaging appropriately with the course requirements.
Activity Quantity Workload hours Lectures 32 96 Assignments 4 60 Total 156 Learning Activities Summary
Lecture OutlineSchedule Week 1 Governing equations Week 2 Dimensional analysis and similarity Week 3 Boundary layers Week 4 Flow stabilty Week 5 Chebyshev spectral methods Week 6 Fourier spectral methods Week 7 Mathematical description of turbulence Week 8 Reynolds-averaged Navier-Stokes (RANS) equations Week 9 Homogeneous turbulence Week 10 Energy spectrum Week 11 RANS simulations Week 12 Large-eddy simulations (LES) Specific Course Requirements
None. -
Assessment
The University's policy on Assessment for Coursework Programs is based on the following four principles:
- Assessment must encourage and reinforce learning.
- Assessment must enable robust and fair judgements about student performance.
- Assessment practices must be fair and equitable to students and give them the opportunity to demonstrate what they have learned.
- Assessment must maintain academic standards.
Assessment Summary
Assessment Task Task Type Due Weighting Learning Outcome Assignments Summative Weeks 4, 7, 10, 13
30% all Exam Summative Examination period 70% all Assessment Related Requirements
An aggregate score of at least 50% is required to pass the course.Assessment Detail
Assessment task Set Due Weighting Assignment 1 Week 1 Week 4 7.5% Assignment 2 Week 4 Week 7 7.5% Assignment 3 Week 7 Week 10 7.5% Assignment 4 Week 10 Week 13 7.5% Submission
Assignments will have a maximum two week turn-around time for feedback to students.Course Grading
Grades for your performance in this course will be awarded in accordance with the following scheme:
M10 (Coursework Mark Scheme) Grade Mark Description FNS Fail No Submission F 1-49 Fail P 50-64 Pass C 65-74 Credit D 75-84 Distinction HD 85-100 High Distinction CN Continuing NFE No Formal Examination RP Result Pending Further details of the grades/results can be obtained from Examinations.
Grade Descriptors are available which provide a general guide to the standard of work that is expected at each grade level. More information at Assessment for Coursework Programs.
Final results for this course will be made available through Access Adelaide.
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Student Feedback
The University places a high priority on approaches to learning and teaching that enhance the student experience. Feedback is sought from students in a variety of ways including on-going engagement with staff, the use of online discussion boards and the use of Student Experience of Learning and Teaching (SELT) surveys as well as GOS surveys and Program reviews.
SELTs are an important source of information to inform individual teaching practice, decisions about teaching duties, and course and program curriculum design. They enable the University to assess how effectively its learning environments and teaching practices facilitate student engagement and learning outcomes. Under the current SELT Policy (http://www.adelaide.edu.au/policies/101/) course SELTs are mandated and must be conducted at the conclusion of each term/semester/trimester for every course offering. Feedback on issues raised through course SELT surveys is made available to enrolled students through various resources (e.g. MyUni). In addition aggregated course SELT data is available.
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Student Support
- Academic Integrity for Students
- Academic Support with Maths
- Academic Support with writing and study skills
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- LinkedIn Learning
- Student Life Counselling Support - Personal counselling for issues affecting study
- Students with a Disability - Alternative academic arrangements
- YouX Student Care - Advocacy, confidential counselling, welfare support and advice
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Policies & Guidelines
This section contains links to relevant assessment-related policies and guidelines - all university policies.
- Academic Credit Arrangements Policy
- Academic Integrity Policy
- Academic Progress by Coursework Students Policy
- Assessment for Coursework Programs Policy
- Copyright Compliance Policy
- Coursework Academic Programs Policy
- Elder Conservatorium of Music Noise Management Plan
- Intellectual Property Policy
- IT Acceptable Use and Security Policy
- Modified Arrangements for Coursework Assessment Policy
- Reasonable Adjustments to Learning, Teaching & Assessment for Students with a Disability Policy
- Student Experience of Learning and Teaching Policy
- Student Grievance Resolution Process
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