A stable and high-order accurate conjugate heat transfer problem
2010 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 229, no 14, 5440-5456 p.Article in journal (Refereed) Published
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.
Place, publisher, year, edition, pages
Elsevier , 2010. Vol. 229, no 14, 5440-5456 p.
Conjugate heat transfer; Well-posedness; Stability; High-order accuracy; Summation-By-Parts; Weak boundary conditions
Computational Mathematics Computer Science
IdentifiersURN: urn:nbn:se:liu:diva-68563DOI: 10.1016/j.jcp.2010.04.010ISI: 000279139200010OAI: oai:DiVA.org:liu-68563DiVA: diva2:418778
Jens Lindström and Jan Nordström, A stable and high-order accurate conjugate heat transfer problem, 2010, Journal of Computational Physics, (229), 5440-5456.
Copyright: Elsevier Science B.V., Amsterdam