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AbstractAbstract
[en] A class of numerical methods, called 'Hopscotch Algorithms', was used to solve the heat conduction equation in cylindrical geometry. Using a time dependent heat source, the temperature versus time behaviour of cylindric rod was analysed. Numerical simulation was used to study the stability and the convergence of each different method. Another test had the temperature specified on the outer surface as boundary condition. The various Hopscotch methods analysed exhibit differing degrees of accuracy, few of them being so accurate as the ADE method, but requiring more computational operations than the later, were observed. Finally, compared with the so called ODD-EVEN method, two other Hopscotch methods, are more time consuming. (Author)
[pt]
Uma classe de metodos numericos, chamados 'Algoritmos Hopscotch', foi usado para resolver a equacao de conducao de calor em geometria cilindrica. Utilizando-se uma fonte de calor, com dependencia temporal, procurou-se verificar o comportamento de uma vareta cilindrica. Com os valores das temperaturas, analisou-se a estabilidade e convergencia de cada metodo durante os transitorios. Num outro teste especificou-se a temperatura sobre a superficie como condicao de contorno. Observou-se que os diversos metodos Hopscotch analisados mostraram diferentes graus de precisao, sendo alguns tao precisos quanto o metodo ADE, no entanto necessitando mais operacoes computacionais do que o metodo ADE. Finalmente, comparando-se o tempo de computacao, o metodo ODD-EVEN mostrou-se mais rapido que os outros dois metodos Hopscotch. (Autor)Original Title
Metodos numericos para resolucao da equacao de conducao de calor bi-dimensional
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Source
Sep 1981; 127 p; Tese (M.Sc.).
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Report
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Thesis/Dissertation
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