Aim: To Derive 4th order approximations for second-order derivative.   Theory:  the taylor series for function is written as, `f(x+deltax)= f(x)+(del f)/(delx).(deltax)+(del^2f)/(del x^2).((deltax^2)/2) +`........(1) the abvoe equation is valid only if : if the number of terms are infinite and the…

Aim: To solve a heat conduction equation of a 2D plate surrounded by constant temperature by the Finite Difference Method. Here we will consider both the Steady-state and Transient state(Unsteady) case and compare which iterative method gives better results with fewer number iteration. Also, we will understand the effect…

AIM: To describe the need for interpolation schemes and flux limiters in FVM.   THEORY: Discretization is the process of converting partial differential equations into Algebraic forms. The whole idea behind discretization is to get the solution at discrete points.   Methods of Discretization Finite Difference…

AIM: To simulate the isentropic flow through a Quasi 1D subsonic - supersinic nozzle by deriving both the conservation and non-conservation forms of the governing equations and solve them by implementing Macormacks's technique using MATLAB. Objective: Determine the steady-state temperature distribution for the flow field…