Soluções analíticas e numéricas usando o método SPH: aplicações à condução de calor e ao tubo de choque
Carregando...
Data
2018-12-14
Título da Revista
ISSN da Revista
Título de Volume
Editor
Universidade Federal de Goiás
Resumo
In the context of the development and advancement of numerical approximation techniques for
scientific and engineering research, the present work proposes to explore traditional numerical
methods of finite differences, such as Euler, Lax-Wendroff and Mac-Cormack, and compare with
the Smoothed Particle Hydrodynamics (SPH). For this, two physical problems are used: the shock
tube and the heat transfer by conduction in a rectangular flat plate. The mathematical models of
these problems are presented and analytical solutions are developed for them, so that they are the
reference elements for the comparison of the numerical methods. The numerical models of each
method are introduced with a brief bibliographic review, and in the case of finite difference
methods, a brief development is doing, giving more attention to the SPH method. Given this,
numerical approximations are applied to the physical problems, generating results that are
compared with the exact solutions. In addition, some aspects of the numerical methods are
explored, trying to understand the influence of the same on the results, allowing a more detailed
analysis. Finally, the methods are compared among them, seeking to understand the potential of the
SPH method.
Descrição
Palavras-chave
Tubo de choque, Transferência de calor, SPH, Shock tube, Heat transfer
Citação
PAMPLONA, A. J. V. P. S. Soluções analíticas e numéricas usando o método SPH:
aplicações à condução de calor e ao tubo de choque. 2018 .103 f. Trabalho de Conclusão de Curso (Graduação) - Escola de Engenharia Elétrica, Mecânica e de Computação, Universidade Federal de Goiás, Goiânia, 2018.