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Graduate courses

Departments' graduate courses for PhD-students.

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Syllabus for

Academic year
MTF072 - Computational fluid dynamics (CFD)
 
Syllabus adopted 2014-02-20 by Head of Programme (or corresponding)
Owner: MPAME
7,5 Credits
Grading: TH - Five, Four, Three, Not passed
Education cycle: Second-cycle
Major subject: Mechanical Engineering
Department: 42 - APPLIED MECHANICS


Teaching language: English
Open for exchange students
Block schedule: D

Course module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0107 Examination 7,5 c Grading: TH   7,5 c   16 Jan 2015 am M,  14 Apr 2015 pm M,  17 Aug 2015 am M

In programs

MPENM ENGINEERING MATHEMATICS AND COMPUTATIONAL SCIENCE, MSC PROGR, Year 2 (elective)
MPAPP APPLIED PHYSICS, MSC PROGR, Year 2 (elective)
MPCAS COMPLEX ADAPTIVE SYSTEMS, MSC PROGR, Year 2 (elective)
MPSES SUSTAINABLE ENERGY SYSTEMS, MSC PROGR, Year 1 (elective)
MPSES SUSTAINABLE ENERGY SYSTEMS, MSC PROGR, Year 2 (elective)
MPAME APPLIED MECHANICS, MSC PROGR, Year 2 (elective)
MPAME APPLIED MECHANICS, MSC PROGR, Year 1 (compulsory elective)
MPNAV NAVAL ARCHITECTURE AND OCEAN ENGINEERING, MSC PROGR, Year 2 (elective)

Examiner:

Professor  Sinisa Krajnovic


Replaces

MTF071   Computational methods in fluid dynamics

Course evaluation:

http://document.chalmers.se/doc/aa619116-fef2-44d7-808f-7307229b3d8c


Eligibility:


In order to be eligible for a second cycle course the applicant needs to fulfil the general and specific entry requirements of the programme that owns the course. (If the second cycle course is owned by a first cycle programme, second cycle entry requirements apply.)
Exemption from the eligibility requirement: Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling these requirements.

Course specific prerequisites

At least have taken one basic course in fluid mechanics.

For students from Chalmers this means one of the following courses:
MTF052 - Fluid mechanics
TME055 - Fluid mechanics
KAA060 - Transport phenomena in chemical engineering

Aim

The aim of the course is that the students obtain a thorough understanding of the finite volume method for Computational Fluid Dynamics (CFD). A large part of the course will be devoted to the turbulence modeling.

Learning outcomes (after completion of the course the student should be able to)

Discretize transport equations such as convection-diffusion using finite volume technique and solve it by writing a finite volume code.
Choose appropriate boundary conditions and numerical scheme.
Solve the Navier-Stokes equation using finite volume technique.
Choose (for the problem appropriate) turbulence model.
Analyze the results of the CFD simulation and draw the conclusions about the quality of the simulation and the resulting physics.

Content

We start by carrying out a detailed derivation of the finite volume method. First, the diffusion equation (heat conduction equation) is treated in one and two dimensions. After that, we carry on to convection-diffusion problems. For the convective part, we discuss different discretization schemes where a delicate balance between numerical accuracy and numerical stability must be considered.

The Navier-Stokes equations are discussed for both compressible and incompressible flow. In incompressible flow special problems arise from the pressure-velocity coupling which leads to pressure oscillations. Two different methods to solve this problems are discussed in some detail.

Many turbulence models are based on the eddy-viscosity concept, where additional transport equation are solved for two scalar quantities. The most well-known models are the k-epsilon and the k- omega model. Near the walls the grid must be refined in order to resolve the strong gradient prevailing there. A couple of years ago one was forced to, due to limited computer resources, use approximate treatment of the walls in the form of wall functions. In industry these are still often used. However, often more accurate treatments are used, such as low-Reynolds number models.


Organisation

wo lectures per week are given in the course.
The course includes three exercises (Task 1, 2 and 3). In the exercises the students write their own finite volume programs, using MATLAB, solving

the diffusion equation in two dimensions
the convection-diffusion equation in two dimensions,
turbulent flow, including a turbulence model, in fully developed flow in a channel channel (one dimension).

The exercises should be presented by the students both in written and oral form.

Literature

H.K. Versteegh and W. Malalasekera. "An Introduction to Computational Fluid Dynamics - The Finite
Volume Method", Prentice Hall, US (2006).

L. Davidson, An introduction to turbulence models.
Dept. of Thermo and Fluid Dynamics, Chalmers University of Technology, Gothenburg, 1998.

Examination

A written examination is given at the end of the course.

Written and oral presentations of exercises are also part of the examination.


Page manager Published: Thu 04 Feb 2021.