OBJECTIVES: Implement both the conservative and non-conservative forms of the governing equations Perform grid dependence test Write separate functions for conservative and non-conservative forms Figure out the minimum number of cycles for which the simulation should be run in order for convergence Compare the normalized…

2D Heat Conduction challenge Steady-state analysis The 2D Transient equation: `dT/dt+alpha(d^2T/dx^2+d^2T/dy^2)=0` The Steady-state equation: `d^2T/dx^2+d^2T/dy^2=0` Assume that the domain is a unit square. Now assigning boundary conditions. Temperatures for steady-state T_L=400 -- Temp at the left boundary T_T=600 --…

Objective: Study of icoFOAM solver to simulate the flow through a backward-facing step. You shall create different meshes and compare the results obtained from them. Specification The number of cells along the direction of flow = 200The number of cells along the y-direction for each block = 10Inlet Velocity is 1 m/sec.…

Compute higher-order approximations using skewed and symmetric stencils. Derive the following 4th order approximations of the second-order derivative.  1. Central difference 2. Skewed right-sided difference 3. Skewed left-sided difference For central differencing No of nodes=p+q-1=4+2-1=5where, p= order of derivativeq=order…