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Course description 2000/2001

2D1280 Computational Fluid Dynamics

KTH credits

4

ECTS credits

6

Level

D

 

KTH grading

U, 3, 4, 5

ECTS grading

A-F

Compulsory for

-

   

Elective for

E, F, M, T

Periods

3

Language

Swedish; if requested in English

Web info

www.nada.kth.se/kurser/kth/2D1280

Coordinator

Katarina Gustavsson, +46 - 8 - 790 6267, katarina@nada.kth.se

Abstract

An advanced course in numerical methods focusing on computational fluid dynamics.

Goals

The goal of the course is to give the students

• a presentation of flow phenomena and the partial differential equations that describe them, and methods for numerical flow calculations

so that they will

• be able to understand properties and limitations of different computational models,

• have had experience from computational problems for different phenomena such as shocks in nozzles and turbulence.

Syllabus

Conservation laws: the equations of Euler and Navier-Stokes. Different levels of approximation. Mathematical properties of hyperbolic systems. Shocks, the Rankine-Hugoniot shock relations, turbulence models, boundary layers. Finite approximations. Grid generation. Upstream methods. Practical algorithms for compressible and incompressible flow. Central finite volume method for the Euler and Navier-Stokes equations. Boundary layers. Boundary conditions. Direct simulation of turbulence.

Computer exercises with methods for the Euler equations in 1D and different approximations in 2D.

Prerequisites

One of the second courses in numerical methods 2D1220-2D1225, 2D1250-2D1260, 2D1266 and a course in computer science or programming (e.g. 2D1340, 2D1342).

Follow-up

Please discuss with the instructor.

Examination

A written examination (TEN1; 2 cr.).
Computer assignments (LAB1; 2 cr.).

Course material

To be announced at course start. In 99/00 J.D. Anderson, jr., Computational fluid dynamics, McGraw-Hill, 1995.

Link to course description 1999/2000

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