Analysis Of Unsteady Convection Diffusion Problems Using Finite Volume Method With Hybrid Difference Scheme

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