A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer

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Title: A compact difference scheme for numerical solutions of second order dual-phase-lagging models of microscale heat transfer
Authors: Castro, María Ángeles | Rodríguez, Francisco | Cabrera Sánchez, Jesús | Martín Alustiza, José Antonio
Research Group/s: Análisis de Datos y Modelización de Procesos en Biología y Geociencias | Ecuaciones Diferenciales con Retardo
Center, Department or Service: Universidad de Alicante. Departamento de Matemática Aplicada
Keywords: Non-Fourier heat conduction | DPL models | Finite differences | Convergence and stability
Knowledge Area: Matemática Aplicada
Issue Date: 1-Jan-2016
Publisher: Elsevier
Citation: Journal of Computational and Applied Mathematics. 2016, 291: 432-440. doi:10.1016/j.cam.2014.11.006
Abstract: 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.
Sponsor: 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
Language: eng
Type: info:eu-repo/semantics/article
Rights: © 2014 Elsevier B.V.
Peer Review: si
Publisher version: http://dx.doi.org/10.1016/j.cam.2014.11.006
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