Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Three-dimensional Numerical Solution Based on GMRES Algorithm Applied to Heat Sinks
Submission Author:
Tobias Luiz Marchioro Toassi , PR , Brazil
Co-Authors:
Tobias Luiz Marchioro Toassi, Francisco Augusto Aparecido Gomes, Igor Sousa
Presenter: Tobias Luiz Marchioro Toassi
doi://10.26678/ABCM.COBEM2019.COB2019-0907
Abstract
Engineering problems involving heat transfer process appears very often, and the analytical solutions of this problems can be very complex, or in some cases, unsolvable. However, numerical methods can be used to solve problems like these. This paper presents a numerical study of heat transfer applied to heat sinks. To execute these simulations was implemented a code based on finite difference method to discretize the three-dimensional heat diffusion equation. The linear system of equations is solved by the Generalized Minimal Residual Method (GMRES) with preconditioners. The first results are focused on verifying and validating the code using physical problems that contain analytical solutions. To demonstrate the robustness of the code, several geometries of heat sinks was simulated considering some thermal conditions. The thermal behavior of the heat sinks are presented, as well as the efficiency of the GMRES to solve problems related to heat transfer phenomena.
Keywords
Finite Difference Method, Implicit Methods, GMRES, Thermal Analysis, Heat sinks
