A multiscale parallel algorithm for dual-phase-lagging heat conduction equation in composite materials

被引：6

作者：

Zhai, Fang-Man ^{[1
]}

Cao, Li-Qun ^{[2
]}

机构：

[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Univ Chinese Acad Sci, Inst Computat Math & Sci Engn Comp,LSEC,NCMIS, Beijing 100190, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2021年 / 381卷

基金：

中国国家自然科学基金;

关键词：

Dual-phase-lagging heat conduction equation; Homogenization; Multiscale asymptotic method; Laplace transformation; Finite element method; Composite materials; FINITE-DIFFERENCE SCHEME; TRANSPORT EQUATION; ELEMENT METHODS; ASYMPTOTIC-EXPANSION; ELLIPTIC-SYSTEMS; CONVERGENCE;

D O I：

10.1016/j.cam.2020.113024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new numerical scheme which combines the multiscale asymptotic method and the Laplace transformation, is presented for solving the 3-D dual-phase-lagging equation in composite materials. The convergence results of the truncated first-order and second-order multiscale approximate solutions are given rigorously. The numerical experiments are carried out to validate the theoretical results of this paper. It is pointed out that the proposed method allows us to choose a relative coarse grid and solve problems in parallel, and therefore it can greatly save computer memory storage and CPU time. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：18

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