An immersed boundary method for simulation of flow with heat transfer

A. Mark, E. Svenning, F. Edelvik, International Journal of Mass and Heat Transfer, 2013, 56(1-2), 424-435.


In this work, the hybrid immersed boundary method is extended with immersed boundary conditions for the temperature field. The method is used to couple the flow solver with a shell heat transfer solver. The coupling back to the shell is handled by a heat source, calculated from Fourier’s law. Natural convection in a square cavity with and without a hot circular cylinder, and free air cooling of an electrically heated plate are studied. For all cases an excellent agreement with numerical and experimental data is obtained. The proposed method is very well suited for many industrial applications involving natural convection.


This work was supported in part by the Swedish Governmental Agency for Innovation Systems, VINNOVA, through the FFI Sustainable Production Technology program, in part by the Swedish Foundation for Strategic Research, SSF, through the ProViking project ‘‘Variation Simulation for Light Weight Assemblies’’, and in part by the Sustainable Production Initiative and the Production Area of Advance at Chalmers. The support is gratefully acknowledged. Emma Bengtsson is acknowledged for performing parts of the numerical simulations.

Authors and Afillations

  • A. Mark, Fraunhofer-Chalmers Centre
  • E. Svenning, Fraunhofer-Chalmers Centre
  • F. Edelvik, Fraunhofer-Chalmers Centre

Photo credits: Nic McPhee