文章基本信息

标题：Simulação Computacional Para Problemas De Difusão Transiente 2d Pelo Método Dos Elementos De Contorno Utilizando A Solução Fundamental Independente Do Tempo.
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作者：Júlio C. Jesus ; José P. Azevedo
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2007
期号：1
页码：1248-1262
语种：English
出版社：CIMEC-INTEC-CONICET-UNL
摘要：The present work has for objective to present an alternative computational implementation of the Boundary Element Method, with time independent fundamental solution, applied time to Transient heat Diffusion problems. The formulation uses the fundamental solution that is the solution of the Poisson equation for an unitary source applied in the point source  i. The geometric approach uses linear elements with double nodes alternative, and the time discretization it is done by finite differences. The mathematical formulation obtains the boundary integral equation starting from the sentence of weighted residual. The explicit presence of the domain integral is maintained in the equation turning obligatory the discretization of the domain in internal cells. The time marching process starts from a known value of potential, u0 in the time t0. Values of potential u in following time are calculated then, in an enough number of internal points, and they are used as initial condition for the next step of time. In this way, the potentials at internal points are calculated together with boundary the unknowns (potential and derived normal). The results of the obtained numeric solutions are compared with analytical, F.E.M. and time dependent B.E.M solutions to verify the quality of the solutions..
其他摘要：The present work has for objective to present an alternative computational implementation of the Boundary Element Method, with time independent fundamental solution, applied time to Transient heat Diffusion problems. The formulation uses the fundamental solution that is the solution of the Poisson equation for an unitary source applied in the point source  i. The geometric approach uses linear elements with double nodes alternative, and the time discretization it is done by finite differences. The mathematical formulation obtains the boundary integral equation starting from the sentence of weighted residual. The explicit presence of the domain integral is maintained in the equation turning obligatory the discretization of the domain in internal cells. The time marching process starts from a known value of potential, u0 in the time t0. Values of potential u in following time are calculated then, in an enough number of internal points, and they are used as initial condition for the next step of time. In this way, the potentials at internal points are calculated together with boundary the unknowns (potential and derived normal). The results of the obtained numeric solutions are compared with analytical, F.E.M. and time dependent B.E.M solutions to verify the quality of the solutions..