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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:291

Article

Castro, M. A.¹  Rodriguez, F.¹  Cabrera, J.¹  Martin, J. A.¹ 

[1] Univ Alicante, Dept Matemat Aplicada, E-03080 Alicante, Spain

关键词: Non-Fourier heat conduction;    DPL models;    Finite differences;    Convergence and stability;   

DOI  :  10.1016/j.cam.2014.11.006

来源: Elsevier

【 摘 要 】

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. (C) 2014 Elsevier B.V. All rights reserved.

【 授权许可】

Free