INSTITUTE OF APPLIED MATHEMATICS
Last Updated:
28/08/2017 - 21:10

IAM763 - Special Topics: Numerical Simulation in Fluid Dynamics

Credit: 3(3-0); ECTS: 8.0
Instructor(s): Münevver Tezer
Prerequisites: Consent of Instructor(s)

Course Catalogue Description

Description of fluids and flows. Derivation of Navier-Stokes equations (conservation of mass, conservation of momentum and conservation of energy). Numerical treatment of the Navier-Stokes equations by finite difference method. Applications: lid driven cavity problem, flow over a backward-facing step, free boundary problems, heat flow, natural convection with heated lateral walls, chemical transport. Extension to three-dimensions with examples from environmental sciences, architecture and engineering. Finite element method and applications.

Course Objectives

At the end of the course, the student will learn:
  • modelling fluid flows
  • discretization of fluid dynamic equations
  • efficient numerical algorithms
  • fast solvers for fluid flow problems
  • flow simulations

Course Learning Outcomes

Student, who passed the course satisfactorily will be able to:
  • model fluid flow problems
  • discretize using numerical techniques the PDEs
  • write their own computer programs to solve Navier-Stokes equations
  • apply the methods learnt to problems in natural and applied sciences

Tentative (Weekly) Outline

  1. Derivation of fluid flow equations
  2. Finite Difference Method, discretization
  3. Finite Difference solution of Navier-Stokes equation in velocity-pressure and vorticity-stream function formulations
  4. Applications: lid-driven cavity problem, flow over a backward-facing step, free boundary problems, heat flow, natural convection with heated lateral walls, chemical transport
  5. Finite Element Method
  6. Applications on environmental sciences, architecture and engineering

Course Textbook(s)

  • Numerical Simulation in Fluid Dynamics - A Practical Introduction, M. Griebel, T. Dornseifer, T. Neunhoeffer, SIAM, 1998

Supplementary Materials and Resources

  • Books:
    • Computational Fluid Dynamics, T. J. Chung, Cambridge University Press, 2002
    • Computational Fluid Dynamics, K. A. Hoffmann, S.I, Chiang, Engineering Education System, 2000

More Info on METU Catalogue

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