SG2212 Strömningsmekaniska beräkningar 7,5 hp

Computational Fluid Dynamics

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.

  • Utbildningsnivå

    Avancerad nivå
  • Huvudområde

    Maskinteknik
  • Betygsskala

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

Kurstillfällen/kursomgångar

VT19 för programstuderande

VT20 för programstuderande

Lärandemål

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.

Kursens huvudsakliga innehåll

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.

Behörighet

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.

Litteratur

Meddelas vid kursstart. Läsåret 05/06 användes Tannehill, John C, Computational Fluid Mechanics and Heat Transfer, Taylor & Francis.

Examination

  • LAB1 - Laboration, 4,5, betygsskala: P, F
  • TEN1 - Tentamen, 3,0, betygsskala: A, B, C, D, E, FX, F

Krav för slutbetyg

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

Ges av

SCI/Mekanik

Examinator

Philipp Schlatter <philipps@kth.se>

Övrig information

MEK: SG2212 är villkorligt valfri för fördjupningen Mekanik.

Påbyggnad

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

Versionsinformation

Kursplan gäller från och med HT2007.
Examinationsinformation gäller från och med HT2007.