Course syllabus

Numeriska simuleringar av flödesproblem
Numerical Simulations of Flow Problems

FMNN40, 7,5 credits, A (Second Cycle)

Valid for: 2023/24
Faculty: Faculty of Engineering, LTH
Decided by: PLED F/Pi
Date of Decision: 2023-04-18

General Information

Elective for: F4, F4-bs, Pi4-bs
Language of instruction: The course will be given in English


The overall goal of the course is that the student should acquire basic
knowledge in modern numerical methods for non-linear conservation laws,
with a focus on fluid models.

Important examples of such models are the Euler equations of gas dynamicsand the shallow water equations, both of which are simplifications of the Navier-Stokes equations. These
models are used in the design of aircraft and wind turbines, as well as
in climate system research.

The course discusses so called finite volume methods for discretizing the models, their derivation, convergence and stability properties, and touches upon higher order extensions.

The discretization often leads to large nonlinear systems of equations. The course presents iterative methods for solving these, such as Multigrid and Newton-Krylov. Their convergence properties are discussed, with a particular focus on systems arising from the above discretizations.

Learning outcomes

Knowledge and understanding
For a passing grade the student must

Competences and skills
For a passing grade the student must

Judgement and approach
For a passing grade the student must


Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: The examination consists of a written report of the final project and an appurtenant oral examination based on the report. The oral examination is only given to those students who have passed the written report. Students who fail the regular examination are offered a re-examination shortly thereafter.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Code: 0123. Name: Project Report.
Credits: 3,5. Grading scale: UG. Assessment: Written report on the final project.
Code: 0223. Name: Examination.
Credits: 4. Grading scale: TH. Assessment: Oral examination on the written project report.


Admission requirements:

Assumed prior knowledge: FMAB35 Calculus in Several Variables, and FMAN55 Applied Mathematics.
The number of participants is limited to: No
The course overlaps following course/s: NUMN28

Reading list

Contact and other information

Course coordinator: Anders Holst,
Teacher: Philipp Birken,
Course homepage: