You have been commissioned to conduct a Computational Fluid Dynamics analysis to examine the thermal performance of a high temperature furnace room. The furnace room has the dimension of $\backslash (5\backslash$mathrm$\{$~m$\}\backslash$times $6\backslash$mathrm$\{$~m$\}\backslash$times $3\backslash$mathrm$\{$~m$\}(\backslash$mathrm$\{$~W$\}\backslash$times $\backslash$mathrm$\{$L$\}\backslash$times $\backslash$mathrm$\{$H$\})\backslash ).$ However, you have a computing power of not exceeding $1$ million nodes in your simulation.

Based on the given problem above, discuss the following and make necessary justification:

$($i$)$ Simplifications and assumptions

$($ii$)$ Meshing strategy

$($iii$)$ Boundary condition settings and the governing equations to be solved

$($iv$)$ Discretisation, convergence criteria and the solution schemes

$($v$)$ Validation and verification