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): Consent of IAM
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 value problems,heat flow,natural convection with heated lateral wall, chemical transport. Extension to three-dimensions with examples from environmental, sciences, architecture end engineering. Finite volume method and applications.

Course Objectives

The aim of the course is to present modelling, discretization of fluid dynamic equations and efficient numerical algorithms and fast solver for fluid flow problems. It also aims to enable the students to write their own flow simulation programs, and by presenting various simulation results, to motivate them to perform their own numerical experiments.

Course Learning Outcomes

This course is intended to familiarize students with the essential steps involved in numerical solution of fluid dynamics problems. It can be conveyed to students in applied mathematics, computer science, or natural and engineering science.

Tentative (Weekly) Outline

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 value problems, heat flow, natural convection with heated lateral wall, chemical transport. Extension to three- dimensions with examples from environmental, sciences, architecture and engineering. Finite volume method and applications.

More Info on METU Catalogue

Back