Application deadline

1. september

The course will only be available if there are students at the IVT-faculty who have the course in their PhD-plans for that particular term, and there are resources available for lecturing the course.

This course is organized as an intensive course with concentrated teaching.

Type of course

The subject can be taken as a singular course.

• The PhD course is primarily open to UiT's PhD students (Category 1).

One or more of these categories of course students may also

be admitted:

• Category 2: Participants in the Associate Professor programme that fulfil the educational requirements.
• Category 3: Doctoral students from other universities.
• Category 4: People with a minimum of a master's degree (or equivalent), who have not been admitted to a doctoral programme.

Admission requirements

Prerequisites: General admission requirements for the PhD program and the courses TEK-8001 Philosophy of Science and Ethics, TEK-8002 Principles of Mathematical Analysis, TEK-8003 A Basic Course in Applied Mathematics, TEK-8004 Fundamentals of Scientific Computing.

Mandatory courses for the ph.d.-program at IVT-faculty.

The course will only be available if there are students at the IVT-faculty who have the course in their PhD-plans for that particular term, and there are resources available for lecturing the course.

Obligatory prerequisites

Course content

The objective of the course is to introduce classical, modern analytical and computational methods for solving problems in computational fluid dynamics (CFD).

Results on the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluids are treated. Considered are also the linearized stationary case, the nonlinear stationary case, and the full nonlinear time-dependent case. In addition, classical turbulence modeling, advanced turbulence modeling and simulation are considered.

The course will focus on classical and weak formulations together with finite difference method and finite element method devoted to CFD. Several aspects programming are considered. In addition, one focuses on implementation and use of CFD algorithms in commercially available and open source software. Applications to wind- and snowdrift simulations are considered.

Objectives of the course

Knowledge:
After passing the course, the student is expected to be able to

• Demonstrate a deep insight into the derivation of modern mathematical formulations in computational fluid dynamics (CFD) and know how to find and analyze solutions through programming and commercially available software.
• Show knowledge of the forefront of knowledge within CFD.

Skills:
After passing the course, the student is expected to be able to

• Carry out research of high international standard in the borderland between pure mathematics and the actual computations of fluid problems by commercially available software.
• Handle complex academic issues and challenge established knowledge and practice connected to CFD.

Habits of mind:
After passing the course, the student is expected to be able to

• Formulate and solve complex CFD problems in a way that enables communication of research and development connected to computational problems in CFD.
• Give presentations and participate in discussions concerning CFD.

Language of instruction and examination

Teaching methods

Assessment

Mandatory tasks: Presentation of project.

Exam: Oral exam

The grades are Pass/Fail.

A re-sit exam will be arranged for this course

Recommended reading/syllabus

• Roger Temam, Navier-Stokes Equations: Theory and Numerical Analysis (AMS Chelsea Publishing). (Selected parts.)
• Claes Johnson, Numerical solutions of PDE by using the FE-methods. Studentliteratur 1995. (Selected parts.)