Olaiju O. A., Hoe Y. S., Ogunbode E. B., Fabi J. K., Egba E. I., 2018, Achieving a Sustainable Environment using Numerical Method for the Solution of Advection Equation in Fluid Dynamics, Chemical Engineering Transactions, 63, 631-636.
The paper compares some explicit numerical methods for solving the advection equation that could be used to describe transportation of a pollutant in one direction. The one-dimensional advection equation is solved by using five different standard finite difference schemes (the Upwind, FTCS, Lax- Friedrichs, Lax wendroff and Leith’s methods) via C codes. An example is used for comparison; the numerical results are compared with analytical solution. It is found that, for the example studied, all the explicit finite difference methods give satisfactory solutions to the advection problem.
