Abstract:
This work solved 2D unsteady convection-diffusion problems using the Fi
nite Volume Method (FVM). FVM is a discretization approach that is espe
cially useful for the working out of several conservation laws that are used
in many different industries. A Crank-Nicolson approach in the temporal
direction with a Hybrid differencing scheme has been used to approximate
the convection-diffusion issue numerically. The method was used to solve two
problems to show how useful and applicable FVM works. The method gives
very accurate and stable solutions to two-dimensional unsteady convection
diffusion problems, as shown by the results displayed in tables and graphs.
Furthermore, we observed the association between the directionality of influ
ence and the flow direction and magnitude of the Peclet number using the
hybrid differencing approach. The present study reports a high Peclet number
and a highly convection-dominated diffusion flow with minimal downstream
f
low dependence. Finally, the numerical results obtained using FVM demon
strate that the selected approach guarantees the flow issues’ transportiveness
property and that the numerical results obtained by the proposed numerical
approximates very close to the exact solution
