Objective The project involves solving the heat conduction equation in 2D for transient and steady state condition. The differential equation is solved using iterative solvers by incorporating Jacobian, Gauss Siedal and Successive over relaxation (SOR) method Assumptions Consider a system defined by the below parameter:…

4th order approximation of the second order derivative using Taylor table method 1. Central difference scheme For second order derivative(p=2) and fourth order approximation (q=4), the number of nodes reqd = p+q-1= 5 The equation for the second order derivative,say, dx^2*f \'\'(x) = a*f(i-2)+b*f(i-1)+c*f(i)+d*f(i+1)+e*f(i+2) …

Objective To study the icoFoam solver and simulate flow through backward-facing step     Specification The number of cells along the direction of flow = 200 The number of cells along the y-direction for each block = 10 Inlet Velocity is 1 m/sec.    Geometry Define the geometry using the vertices as…

Interpolation schemes Unlike the finite difference method, in finite volume method (FVM), the integral form of the governing equations are solved considering an arbitrary volume with central point P (about which the properties in the control volume are averaged). Now, in integrating the governing equation about the control…