Unit 1 Implementation of Boundary conditions

3 lecture hours

• Introduction to common boundary conditions
• inlet boundary conditions
• outlet boundary conditions
• wall boundary conditions
• constant pressure boundary conditions
• symmetry and periodic boundary conditions

Unit 2 Pressure correction methods

• incompressible viscous flows: Introduction
• the momentum equation
• staggered grid
• the SIMPLE Algorithm
• the SIMPLER Algorithm
• the SIMPLEC Algorithm
• the PISO Algorithm

Unit 3 Advanced topics in Modern CFD

12 lecture hours

• The tri-diagonal matrix algorithm
• application of the TDMA to 2-D problem
• the Beam and Warming Method
• the Multidimensional Problem
• introduction to Upwind schemes
• Flux- Vector Splitting
• Godunov Approach
• second ordered Upwind scheme
• High Resolution schemes TVD and Flux limiters

Unit 4 The Finite Volume Method

12 lecture hours

• finite volume method (FVM) for two dimensional diffusion problems
• introduction to FVM for convection-diffusion problems
• steady one dimensional convection and diffusion problem
• the central differencing scheme
• FVM for One-Dimensional unsteady heat conduction problem
• Crank-Nicolson Scheme

Unit 5 Introductions to algorithms for Numerical solution to Navier-Stokes 05 10% equation

• Introduction to supersonic viscid flow over the flat plate with shock
• physical problem and governing equations
• governing equation in difference terms
• calculation of step size and boundary conditions
• flow chart for main program
• flow chart for Mac-Cormark subroutine
• flow chart for TAUXY function subprogram