SG3114 Numerical Methods in Fluid Mechanics 7.5 credits

Numeriska metoder i strömningsmekanik

  • Education cycle

    Third cycle
  • Main field of study

  • Grading scale

    P, F

Course offerings

Spring 19 for programme students

  • Periods

    Spring 19 P3 (7.5 credits)

  • Application code


  • Start date


  • End date


  • Language of instruction


  • Campus

    KTH Campus

  • Tutoring time


  • Form of study


  • Number of places

    No limitation

  • Schedule

    Schedule (new window)

  • Course responsible

    Philipp Schlatter <>

  • Teacher

    Ardeshir Hanifi <>

    Philipp Schlatter <>

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.

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.


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.


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.


  • 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

Requirements for final grade

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.

Offered by



Philipp Schlatter


Philipp Schlatter <>

Add-on studies

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


Course syllabus valid from: Spring 2019.
Examination information valid from: Spring 2019.