Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10071/10525
Autoria: | Acebron, J. A. Ribeiro, M. A. |
Data: | 2016 |
Título próprio: | A Monte Carlo method for solving the one-dimensional telegraph equations with boundary conditions |
Volume: | 305 |
Paginação: | 29 - 43 |
ISSN: | 0021-9991 |
DOI (Digital Object Identifier): | 10.1016/j.jcp.2015.10.027 |
Palavras-chave: | Finite-difference time domain (FDTD) Monte Carlo methods Telegrapher's equation |
Resumo: | A Monte Carlo algorithm is derived to solve the one-dimensional telegraph equations in a bounded domain subject to resistive and non-resistive boundary conditions. The proposed numerical scheme is more efficient than the classical Kac's theory because it does not require the discretization of time. The algorithm has been validated by comparing the results obtained with theory and the Finite-difference time domain (FDTD) method for a typical two-wire transmission line terminated at both ends with general boundary conditions. We have also tested transmission line heterogeneities to account for wave propagation in multiple media. The algorithm is inherently parallel, since it is based on Monte Carlo simulations, and does not suffer from the numerical dispersion and dissipation issues that arise in finite difference-based numerical schemes on a lossy medium. This allowed us to develop an efficient numerical method, capable of outperforming the classical FDTD method for large scale problems and high frequency signals. |
Arbitragem científica: | yes |
Acesso: | Acesso Aberto |
Aparece nas coleções: | IT-RI - Artigos em revistas científicas internacionais com arbitragem científica |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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jcp_telegraph.pdf | Pós-print | 1,41 MB | Adobe PDF | Ver/Abrir |
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