Objective: To solve and study the 2D Transient Heat Conduction equation, thereby understanding how the stability of the equation is affected by different parameters in the equation.  Numerical Equation: The 2D Transient State Heat conduction equation is given as                …

Objective: The Major Objective of this study is to use inbuilt meshing utility in OpenFOAM to Mesh a component and run a simulation without any other commerical meshing alogorithams.   Backgroud: OpenFOAM is a Opensource CFD Library that is very popular, but it lacks a GUI which is very hard for the users to see what…

Objective: The major objective is to write a code to solve the 1D supersonic nozzle flow simulation problem from the book John D. Anderson using both Non-conservative form and compare the code results with results from the same simulation in openFoam  Equations to be solved: 1. Continuity Equation:      …

Introduction: In this topic we will discuss on how to find out the order of approximation of your discretization scheme. The order of approximation can be determined by the truncation error term on the RHS. Mathematical Example:  let us take this exampe 2nd order derivative for example. Let us try to derive a 1st…

Objective:  The objective here is to derive the forth order approximation of the Skewed right hand side scheme and the central difference scheme using Taylors table and making sure that the stencil that we use is of forth order approximation.   Numerical derivative to be decritized: `(del^2f)/(delx^2)` ---------------------------…