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A Stable and High Order Interface Procedure for Conjugate Heat Transfer Problems

In: Numerical Mathematics and Advanced Applications 2009

Author

Listed:
  • Jens Lindström

    (Uppsala University, Division of Scientific Computing, Department of Information Technology)

  • Jan Nordström

    (Uppsala University, Division of Scientific Computing, Department of Information Technology
    University of the Witvatersrand, School of Mechanical, Industrial and Aeronautical Engineering
    The Swedish Defense Research Agency, Department of Aeronautics and Systems Integration, FOI)

Abstract

This paper analyzes stability and order of accuracy of a conjugate heat transfer problem in one space dimension. The energy method is used to derive boundary and interface conditions for the continuous problem and the resulting numerical scheme is proven stable. The 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 using the Simultaneous Appriximation Term (SAT). The rate of convergence is verified using the method of manufactured solutions.

Suggested Citation

  • Jens Lindström & Jan Nordström, 2010. "A Stable and High Order Interface Procedure for Conjugate Heat Transfer Problems," Springer Books, in: Gunilla Kreiss & Per Lötstedt & Axel Målqvist & Maya Neytcheva (ed.), Numerical Mathematics and Advanced Applications 2009, pages 599-607, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-11795-4_64
    DOI: 10.1007/978-3-642-11795-4_64
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