Singular boundary method for transient convection-diffusion problems with time-dependent fundamental solution

被引：41

作者：

Wang, Fajie ^{[1
,2
,3
]}

Chen, Wen ^{[1
]}

Tadeu, Antonio ^{[2
,3
]}

Correia, Carla G. ^{[2
]}

机构：

[1] Hohai Univ, Coll Mech & Mat, Ctr Numer Simulat Software Engn & Sci, State Key Lab Hydrol Water Resources & Hydraul En, Nanjing 210098, Jiangsu, Peoples R China

[2] ITeCons Inst Res & Technol Dev Construct Energy E, Rua Pedro Hispano S-N, P-3030289 Coimbra, Portugal

[3] Univ Coimbra, Dept Civil Engn, ADAI LAETA, Polo 2,Rua Luis Reis Santos, P-3030788 Coimbra, Portugal

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2017年 / 114卷

基金：

中国国家自然科学基金;

关键词：

Convection-diffusion; Singular boundary method; Origin intensity factors; Time-dependent fundamental solution; PHASE-CHANGE PROBLEMS; ELEMENT METHOD; DUAL RECIPROCITY; EQUATIONS; FORMULATION;

D O I：

10.1016/j.ijheatmasstransfer.2017.07.007

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

This paper derives the time-dependent fundamental solution of the transient convection-diffusion problem by employing the exponential variable and Fourier transformations. A singular boundary method (SBM) formulation using this time-dependent fundamental solution is first applied in the simulation of the transient convection-diffusion problems. Accurate formulas are derived to evaluate the origin intensity factors in the SBM. The proposed method is mathematically simple, matrix-free and fully explicit. Furthermore, this scheme is computationally fast, stable, and requires low memory, since it does not need to solve any algebraic equations. Three benchmark examples, including three-dimensional cases, are presented to verify this time-dependent SBM strategy. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：1126 / 1134

页数：9

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