Intrinsic verification methods in linear heat conduction

被引：43

作者：

Beck, James V. ^{[1
]}

McMasters, Robert

Dowding, Kevin J.

Amos, Donald E.

机构：

[1] Michigan State Univ, Dept Mech Engn Prof Em, E Lansing, MI 48824 USA

[2] Virginia Mil Inst, Dept Mech Engn, Lexington, VA 24450 USA

[3] Sandia Natl Labs, Albuquerque, NM 87185 USA

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2006年 / 49卷 / 17-18期

关键词：

intrinsic verification; time partitioning; analytical heat conduction; exact;

D O I：

10.1016/j.ijheatmasstransfer.2006.01.045

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Verification of the codes that provide numerical heat transfer solutions obtained by finite difference and other methods is important. One way to verify these solutions is to compare the values with exact solutions. However, these exact solutions should also be verified. Fortunately, intrinsic verification methods are possible. Intrinsic verification utilizes at least two independent exact solutions to obtain accurate numerical values. Three different types of intrinsic verification for transient and steady state heat conduction are developed and illustrated by examples. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：2984 / 2994

页数：11

共 17 条

[1]

Beck J. V., 1992, Heat conduction using Green's functions

[2]

Beck JV, 2004, INT J HEAT MASS TRAN, V47, P4243, DOI 10.1016/j.iiheatmasstransfer.2004.04.021

[3] Solutions for multi-dimensional transient heat conduction with solid body motion [J].

Beck, JV ;

McMasters, RL .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2004, 47 (17-18) :3757-3768

[4]

Beck JV, 2002, ARAB J SCI ENG, V27, P49

[5]

BECK JV, 2002, TEST CASES PROGRAM V

[6]

Carslaw H. S., 1959, CONDUCTION HEAT SOLI

[7]

Cole K.D., GREENS FUNCTION LIB

[8] Fast-converging steady-state heat conduction in a rectangular parallelepiped [J].

Crittenden, PE ;

Cole, KD .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2002, 45 (17) :3585-3596

[9] Temperature solution in multi-dimensional multi-layer bodies [J].

Haji-Sheikh, A ;

Beck, JV .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2002, 45 (09) :1865-1877

[10]

Knupp P., 2003, VERIFICATION COMPUTE

← 1 2 →