Computational Fluid Dynamics
CFD is a branch of fluid mechanics that solve fluid flow problems through numerical methods with the aid of computers. The course will cover the basics of fluid mechanics, Mathematics, finite difference coding in Octave and solving problems using OpenFOAM (an open source software).
Introduction
A basic intro to physical governing equations and numerical methods. Steps involved in CFD and its advantages over experimental and analytical methods.
Fluid mechanics and mathematics – a review
Basics of fluid mechanics and mathematics will be extensively reviewed. Here we cover very basic topics of fluid mechanics and calculus so that the student can make a strong foundation.
Fluid mechanics

Continuum

Eulerian and Lagrangian approach

Flow properties
Vector mechanics

Scalar and vector product

Nabla operator

Gradient, Divergence and curl

Surface integral

Divergence theorem
Calculus

Basics of Differential calculus

Partial differentiation and total differentiation

Exact and inexact differential
Governing equations
As per JD Anderson, governing equations are like bread and butter of CFD. Till now we are collecting necessary tools so that we can lay our CFD foundation in a better way. The deriving governing equation is the first footstep into the world of computational fluid dynamics. Here we will cover

Substantial derivative

Conservation of mass and momentum in the differential form

Energy and RANS equation
Coding in Octave
Every CFD software works based on Finite difference or finite volume coding. FDM is the fundamental numerical technique that has been coded in the early 1960s by NASA to solve their aerodynamic problems. It is necessary to learn some of the basic codes before start using FVM solvers.

Taylors series

Finite difference technique (FDM)

Introduction to coding

Solving FDM problems in Octave
Solving CFD problems in OpenFOAM
OpenFOAM is one of the similar software like ANSYS FLUENT/ CFX and star CCM+. All of them works on FVM solver. Here you will be learning

Mesh creation and mesh conversion

Handling different boundary condition and solver settings
Simple flow problems in OpenFOAM
Practise problems based on the theory.