# SG3114 Numerical Methods in Fluid Mechanics7.5 credits

Third cycle

P, F

## Course offerings

### Spring 19 for programme students

• #### Periods

Spring 19 P3 (7.5 credits)

61231

15/01/2019

15/03/2019

English

KTH Campus

Daytime

Normal

• #### Number of places

No limitation

• #### Course responsible

Philipp Schlatter <philipps@kth.se>

• #### Teacher

Ardeshir Hanifi <hanifi@kth.se>

Philipp Schlatter <philipps@kth.se>

### Spring 19 for programme students

• #### Periods

Spring 19 P3 (3.0 credits), P4 (4.5 credits)

61488

20/02/2019

04/06/2019

English

KTH Campus

Daytime

Normal

• #### Number of places

No limitation

• #### Course responsible

Philipp Schlatter <philipps@kth.se>

• #### Teacher

Ardeshir Hanifi <hanifi@kth.se>

Philipp Schlatter <philipps@kth.se>

## Information for research students about course offerings

The course is given in parallel with SG2212 in period 3.

## Intended learning outcomes

After reading this course the student should be:

• familiar with the differential equations for flow phenomena and numerical methods for their solution
• able to use and develop flow simulation software for the most important classes of flows in engineering and science.
• able to critically analyse different mathematical models and computational methods for flow simulations
• able undertake flow computations using current best practice for model and method selection, and assessment of the quality of results obtained.

Short introduction with review of other numerical methods or the basic equations of fluid dynamics (the class will be divided in two groups). Conservation laws: the Navier-Stokes equations. Different levels of approximation, the Euler and Reynolds Averaged equations. Turbulence models. Basics of finite approximations for partial differential equations. Mathematical properties of hyperbolic systems. Numerical treatment of shocks. Finite volume and finite element methods. Boundary conditions. High-resolution methods. Grid generation. Practical algorithms for compressible and incompressible flow. Computer exercises with methods for the Euler equations in 1D and different approximations for 2D compressible and incompressible flows.

## Eligibility

A course in computer science or programming (e.g. DD1331).
Background in either fluid dynamics or numerical methods, corresponding to one of the second level courses in numerical methods (e.g. SF2520) or a course in fluid dynamics (e.g. SG2214) or equivalent.

## Recommended prerequisites

• A course in computer science or programming (e.g. DD1342);
• Background in either fluid dynamics or numerical methods, corresponding to one of the second level courses in numerical methods DN2220-DN2225, DN2250-DN2260, DN2266, or a course in fluid dymamics e.g. SG2214 or equivalent.

## Literature

To be announced at course start. In 08/09: Numerical Computation of Internal & External Flows, Charles Hirsh, Butterworth-Heineman, Second Edition, ISBN: 978-0-7506-6594-0, was used.

## Examination

• LAB1 - Computer exercise, 3.0, grading scale: P, F
• PRO1 - Project work, 1.5, grading scale: P, F
• TEN1 - Exam, 3.0, grading scale: P, F

One written examination with minimum performance that corresponds to grade B for the Master's course SG2212 (TEN1), 3.0 h.p.
Homework and computer assignments (LAB1), 3.0 h.p. Project work (PRO1), 1.5 h.p.

SCI/Mechanics

## Contact

Philipp Schlatter

## Examiner

Philipp Schlatter <philipps@kth.se>