Author(s)

Raphael de O. Garcia¹, Graciele P. Silveira²

¹Department of Actuarial Science, Federal University of São Paulo, Osasco, Brazil.
²Department of Physics, Chemistry and Mathematics, Federal University of São Carlos, Sorocaba, Brazil.

Since the Industrial Revolution, humanity has been intensifying the burning of fossil fuels and as a consequence, the average temperature on Earth has been increasing. The 20th century was the warmest and future prospects are not favorable, that is, even higher temperatures are expected. This demonstrates the importance of studies on the subject, mainly to predict possible environmental, social and economic consequences. The objective of this work was to identify the interference of the increase in ambient temperature in the dynamics of fluids, such as ocean waves advancing over the continent. For this, thermal energy was considered in the Saint-Venant equations and computational implementations were performed via Lax-Friedrichs and Adams-Moulton methods. The results indicated that, in fact, depending on the amount of thermal energy transferred to the fluid, the advance of water towards the continent can occur, even in places where such a phenomenon has never been observed.

Computational Fluid Dynamics, Saint-Venant Equations, Numerical Methods, Global Warming

Garcia, R. and Silveira, G. (2023) Numerical Simulation of Saint-Venant Equations with Thermal Energy Dependency: Applications on Global Warming. Open Journal of Fluid Dynamics, 13, 191-205. doi: 10.4236/ojfd.2023.134014.