SG2212 Computational Fluid Dynamics 7.5 credits

Strömningsmekaniska beräkningar

An in-depth course on numerical methods for computer simulation of fluid flows. Together with 5C1213 Applied Computational Fluid Dynamics, a comprehensive course on theory and practice of computational fluid dynamics.

  • Education cycle

    Second cycle
  • Main field of study

    Mechanical Engineering
  • Grading scale

    A, B, C, D, E, FX, F

Course offerings

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.

Course main content

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. DD1342);
2. 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 dynamics e.g. SG2214 or equivalent.

Literature

To be announced at course start. In 05/06: Tannehill, John C, Computational Fluid Mechanics and Heat Transfer, Taylor & Francis, was used.

Examination

  • LAB1 - Laboratory Work, 4.5, grading scale: P, F
  • TEN1 - Examination, 3.0, grading scale: A, B, C, D, E, FX, F

Requirements for final grade

One written examination (TEN1; 3 university credits). Homework and computer assignments (LAB1; 4,5 university credits).

Offered by

SCI/Mechanics

Examiner

Philipp Schlatter <philipps@kth.se>

Add-on studies

SG2213 Applied Computational Fluid Dynamics covers selected industrial and research topics in students projects with invited specialists.

Version

Course syllabus valid from: Autumn 2007.
Examination information valid from: Autumn 2007.