First of all we are going to look up for the calculation of fourth order approximation of various schemes and we are going to prove that our skewed schemes are fourth-order accurate.      Before that, skewed schemes are useful when compared to central difference, because the number of nodes in skewed schemes…

We have to solve for two dimensional heat conduction equation in this challenge.   First of all the two dimensional heat conduction equation is, `(del^2T)/(delx^2)+(del^2T)/(dely^2)=0` When we discritize the above equation by using central differencing scheme,we get the following   `(del^2T)/(delx^2)=(T_(i-1,j)-2*T_(i,j)+T_(i+1,j))/(Deltax^2)`…

Simulation of one dimensional Super-sonic nozzel flow simulation using Macromack method   Objective: In this challenge we are going to simulate the isentropic flow through a quasi 1D subsonic-supersonic nozzle. We will derive both the conservation and non-conservation forms of the governing equations and sovle them…

BlockMesh Drill down challenge Objective: To study icoFoam solver and to simulate the flow through a backward-facing step. Also to create different meshes and compare the results obtained from them. Given: Mesh specification Number of cells along the x direction (longer dimension) = 200 Number of cells along the y direction…