Computational Fluid Dynamics - Basic

The following topics are going to be discussed in this post:

   (a) 1-D Linear Ordinary Differential Equations of 1st and 2nd order
         (a-1) First order derivatives discretization
         (a-2) Second order derivatives discretization considering different boundary conditions
   (b) 1-D time dependent Parabolic differential equations
         (b-1) Diffusion equation: finite difference discretization
         (b-2) Diffusion equation: application of different boundary conditions
         (b-3) Example: transient heat conduction

   (c) 1-D time dependent Hyperbolic differential equations
   (d) 1-D non-linear partial differential equations (Newton's and explicit methods)
         (d-1) Blasius boundary layer
         (d-2) Steady Burgers' equation
         (d-3) Unsteady, viscous Burgers' equation
         (d-4) Unsteady, inviscid Burgers' equation
         (d-5) 2-D, steady, Kovasznay flow$ ^{New}$
   (e) 1-D flow model in nozzles
         (e-1) Incompressible fluid through a converging nozzle
         (e-2) Compressible fluid through a converging nozzle
         (e-3) Multiphase flow through a converging nozzle
         (e-4) Normal shock waves
         (e-5) Compressible fluid through a converging-diverging (de Laval) nozzle

Each topic would be thoroughly discussed in a time period of approximately one to three weeks.