## Monday, January 19, 2015

### 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-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.