Methodology for studying the numerical speed of sound in finite differences schemes
The space and time discretization inherent to all FDTD schemes/nintroduce non-physical dispersion errors, i.e. deviations of/nthe speed of sound from the theoretical value predicted by/nthe governing Euler differential equations. A generalmethodology/nfor computing this dispersion error via straight...
| Autores: | , , |
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| Formato: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2009 |
| País: | España |
| Recursos: | Universitat Pompeu Fabra |
| Repositorio: | Repositorio Digital de la UPF |
| OAI Identifier: | oai:repositori.upf.edu:10230/12420 |
| Acesso em linha: | http://hdl.handle.net/10230/12420 http://dx.doi.org/10.38113/AAA.918197 |
| Access Level: | acceso abierto |
| Palavra-chave: | So -- Informàtica |
| Resumo: | The space and time discretization inherent to all FDTD schemes/nintroduce non-physical dispersion errors, i.e. deviations of/nthe speed of sound from the theoretical value predicted by/nthe governing Euler differential equations. A generalmethodology/nfor computing this dispersion error via straightforward/nnumerical simulations of the FDTD schemes is presented./nThe method is shown to provide remarkable accuracies/nof the order of 1/1000 in a wide variety of twodimensional/nfinite difference schemes. |
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