Topic outline

• General

  General

  Instructor

  [画像:is]

  email: ibrahim.sezai@emu.edu.tr

  Office: ME126

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• Topic 1

  Topic 1

  Course Description

  Introduction. Conservation laws of fluid motion and boundary conditions. The finite volume method for diffusion problems. The finite volume method for convection-diffusion problems. Solution algorithms for pressure-velocity coupling in steady flows. The finite volume method for unsteady flows. Turbulence and its modeling. Methods for dealing with complex geometries on structured or unstructured grids.

  • Course Learning Outcome File 31.9KB PDF document
  • Course outline File 349.5KB PDF document Uploaded 25/02/19, 23:02
• Topic 2

  Topic 2

  Introduction

  What is CFD? How does a CFD code work? Problem solving with CFD.

  • Lecture notes 1 File 3MB PDF document Uploaded 25/02/19, 23:06
• Topic 3

  Topic 3

  Conservation laws of fluid motion and boundary conditions

  Governing equations of fluid flow and heat transfer: Conservation of mass momentum and energy. Equations of state. Navier–Stokes equations for a Newtonian fluid. Conservative form of the governing equations of fluid flow. Differential and integral forms of the general transport equations. Classification of fluid flow equations.

  • Lecture notes 2 File 949.2KB PDF document Uploaded 25/02/19, 23:08
• Topic 4

  Topic 4

  The finite volume method for diffusion problems

  The finite volume method for one-dimensional steady state diffusion. The tri-diagonal matrix algorithm. The finite volume method for two and three-dimensional steady state diffusion. Application of TDMA method to two and three-dimensional problems.

  • Lecture Notes 3 File 1.3MB PDF document Uploaded 4/03/19, 22:23
• Topic 5

  Topic 5

  The finite volume method for convection-diffusion problems

  Steady one dimensional convection and diffusion. The central difference, upwind, hybrid, power law, QUICK and other higher order schemes. Properties of discretisation schemes: Conservativeness, boundedness, transportiveness. Stability problems of the schemes. TVD schemes; flux limiter functions

  • Lecture notes 4 File
• Topic 6

  Topic 6

  Solution algorithms for pressure-velocity coupling in steady flows

  The staggered and non-staggered grids. The momentum equations. The SIMPLE, SIMPLER, SIMPLEC and PISO algorithms

  • Lecture Notes 5 File 361.8KB PDF document Uploaded 28/03/19, 21:57
• Topic 7

  Topic 7

  The finite volume method for unsteady flows

  One-dimensional unsteady heat conduction. Explicit, implicit and Crank-Nicholson schemes. Implicit methods for two-and three-dimensional convection-diffusion problems. Transient SIMPLE and PISO algorithms.

  • Lecture notes 6 File 634.7KB PDF document
• Topic 8

  Topic 8

  Turbulence and its modeling

  Transition from laminar to turbulent flow. Effect of turbulence on time averaged Navier-Stokes equations. Characteristics of simple turbulent flows. Free turbulent flows. Flat plate boundary layer and pipe flow. Turbulence models. Mixing length model The k-e model. Reynolds stress equation models. Algebraic stress equation models. Some recent advances.

  • Lecture Notes 7 File
• Topic 9

  Topic 9

  Practical guidelines for CFD simulation

  • Lecture notes 8 File
• Topic 10

  Topic 10

  Finite volume method on unstructured grids

  Body-fitted co-ordinate grids for complex geometries. Cartesian vs. curvilinear grids. Curvilinear grids-difficulties. Block structured grids. Unstructured grids. Discritesation in unstructured grids. Discretisation of the diffusion, convection and source terms. Calculation of surface areas, volumes and gradients. Assembly of discretised equations. MIM method. TVD schemes in unstructured grids. High order convection schemes in unstructured grids.

  • Lecture Notes 9 File