## 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.

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2. Hi,
You people are doing great job for such intense Numerical Methods. I am working on Higher Order Compact Schemes. I need help from you people, sixth order Compact Scheme with Dirichlet boundary condition. I have to use on 3D Nonlinear Coupled System. Help is highly appreciated.
Thanks you for help in advance.

3. Hi,
You people are doing great job for such intense Numerical Methods. I am working on Higher Order Compact Schemes. I need help from you people, sixth order Compact Scheme with Dirichlet boundary condition. I have to use on 3D Nonlinear Coupled System. Help is highly appreciated.
Thanks you for help in advance.