Journal of Computational Physics

Journal of Computational Physics

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...

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Hauptverfasser: Lindström Jens , Uppsala universitet, Avdelningen för teknisk databehandling, Nordström Jan , Uppsala universitet, Avdelningen för teknisk databehandling, Lindström Jens, Uppsala University, Department of Technical Data Processing, Nordström Jan, Uppsala University, Department of Technical Data Processing
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Sprache:eng ; swe
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Zusammenfassung: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. Original Publication:Jens Lindström and Jan Nordström, A stable and high-order accurate conjugate heat transfer problem, 2010, Journal of Computational Physics, (229), 5440-5456.http://dx.doi.org/10.1016/j.jcp.2010.04.010Copyright: Elsevier Science B.V., Amsterdamhttp://www.elsevier.com/ Published Original Publication:Jens Lindström and Jan Nordström, A stable and high-order accurate conjugate heat transfer problem, 2010, Journal of Computational Physics, (229), 5440-5456.http://dx.doi.org/10.1016/j.jcp.2010.04.010Copyright: Elsevier Science B.V., Amsterdamhttp://www.elsevier.com/ 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. Published