AIM: Derivation of forth order approximation of second order derivative using taylor table method. Objective: here we are going to find the second order derivative,which  is evaluated by using numerical approximation methods and then it is going to be compare with exact solution. Theory: here we are interested in…

AIM : solving the steady and unsteady 2D heat conduction problem. Governing equation: `(∂ T)/(∂ t) + α((∂^2 T)/(∂x^2 ) + (∂^2 T)/(∂y^2 )) = 0` where α is constant thermal diffusivity. here constant α = 2*1e-4 (units : `m^2/s`) Theory: here we have 2D plate with…

AIM: simulation of a 1D supersonic Nozzle flow simulation useing Macormack method. THEORY: the flow in the convergent divergent nozzle is isentropic flow. the inlet of convergent nozzle is connected to reserovoir. the flow in the convergent portion is subsonic flow. the flow in the throat portion is sonic flow and the…

finite volume method: finite volume method is based on the approximate solution of intergral form of governing equations. the problem domine is divied into a set of control volumes.   the governing equations are applied to each control volume.  In the finite volume method, volume integrals in a partial…