Análise comparativa do desempenho: implementação serial e paralela do método das diferenças finitas para a transferência de calor em uma chapa bidimensional

Abstract

This study aims to analyze the computational performance of two approaches — serial and parallel programming — applied to the simulation of heat transfer in a two-dimensional plate using the finite difference method. The implementation will be carried out in Python, with the parallel version using a suitable library for computational acceleration. The analysis will be conducted by comparing the execution time and efficiency of the approaches in different mesh sizes (spatial resolution) and number of iterations. The results will show that the parallel implementation presents significant performance gains for large simulation domains, while maintaining the accuracy of the thermal results. This comparison is relevant for engineering applications that require efficient simulations in real time or with high spatial resolution.