A stable and high-order accurate conjugate heat transfer problem

JOURNAL OF COMPUTATIONAL PHYSICS

卷:229

Article

Lindstrom, Jens¹  Nordstrom, Jan^2,3 

[1] Uppsala Univ, Div Comp Sci, Dept Informat Technol, SE-75105 Uppsala, Sweden

[2] Univ Witvatersrand, Sch Mech Ind & Aeronaut Engn, Johannesburg, South Africa

[3] FOI, Swedish Def Res Agcy, Dept Aeronaut & Syst Integrat, S-16490 Stockholm, Sweden

关键词: Conjugate heat transfer;    Well-posedness;    Stability;    High-order accuracy;    Summation-By-Parts;    Weak boundary conditions;   

DOI  :  10.1016/j.jcp.2010.04.010

来源: Elsevier

【 摘 要 】

This paper analyzes well-posedness and stability of a conjugate heat transfer problem in one space dimension. We study a model problem for heat transfer between a fluid and a solid. The energy method is used to derive boundary and interface conditions that make the continuous problem well-posed and the semi-discrete problem stable. The numerical scheme is implemented using 2nd-, 3rd- and 4th-order finite difference operators on Summation-By-Parts (SBP) form. The boundary and interface conditions are implemented weakly. We investigate the spectrum of the spatial discretization to determine which type of coupling that gives attractive convergence properties. The rate of convergence is verified using the method of manufactured solutions. (C) 2010 Elsevier Inc. All rights reserved.

【 授权许可】

Free