Achieving a sustainable environment using numerical method for the solution of advection equation in fluid dynamics

• Main Authors: Olaijua, Olusegun Adeyemi, Hoe, Yeak Su, Ogunbodeb, Ezekiel Babatunde, Fabi, Jonathan Kehinde, Egba, Ernest Ituma
• Format: Article
• Published: The Italian Association of Chemical Engineering 2018
• Subjects: QA Mathematics
• Online Access: http://eprints.utm.my/id/eprint/84108/; https://www.aidic.it/cet/18/63/106.pdf
• Institution: Universiti Teknologi Malaysia

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.