A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer
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Título: | A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer |
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Autor/es: | Castro, María Ángeles | Rodríguez, Francisco | Cabrera Sánchez, Jesús | Martín Alustiza, José Antonio |
Grupo/s de investigación o GITE: | Análisis de Datos y Modelización de Procesos en Biología y Geociencias | Ecuaciones Diferenciales con Retardo |
Centro, Departamento o Servicio: | Universidad de Alicante. Departamento de Matemática Aplicada |
Palabras clave: | Non-Fourier heat conduction | DPL models | Finite differences | Convergence and stability |
Área/s de conocimiento: | Matemática Aplicada |
Fecha de publicación: | 1-ene-2016 |
Editor: | Elsevier |
Cita bibliográfica: | Journal of Computational and Applied Mathematics. 2016, 291: 432-440. doi:10.1016/j.cam.2014.11.006 |
Resumen: | Dual-phase-lagging (DPL) models constitute a family of non-Fourier models of heat conduction that allow for the presence of time lags in the heat flux and the temperature gradient. These lags may need to be considered when modeling microscale heat transfer, and thus DPL models have found application in the last years in a wide range of theoretical and technical heat transfer problems. Consequently, analytical solutions and methods for computing numerical approximations have been proposed for particular DPL models in different settings. In this work, a compact difference scheme for second order DPL models is developed, providing higher order precision than a previously proposed method. The scheme is shown to be unconditionally stable and convergent, and its accuracy is illustrated with numerical examples. |
Patrocinador/es: | This work was partially funded by grant GRE12-08 from University of Alicante. |
URI: | http://hdl.handle.net/10045/48949 |
ISSN: | 0377-0427 (Print) | 1879-1778 (Online) |
DOI: | 10.1016/j.cam.2014.11.006 |
Idioma: | eng |
Tipo: | info:eu-repo/semantics/article |
Derechos: | © 2014 Elsevier B.V. |
Revisión científica: | si |
Versión del editor: | http://dx.doi.org/10.1016/j.cam.2014.11.006 |
Aparece en las colecciones: | INV - MODDE - Artículos de Revistas INV - EDR - Artículos de Revistas |
Archivos en este ítem:
Archivo | Descripción | Tamaño | Formato | |
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2015_Castro_etal_JCAM_final.pdf | Versión final (acceso restringido) | 846,88 kB | Adobe PDF | Abrir Solicitar una copia |
2015_Castro_etal_JCAM_accepted.pdf | Accepted Manuscript (acceso abierto) | 5,82 MB | Adobe PDF | Abrir Vista previa |
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