Immersed boundary methods for heat transfer
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 7 March 2016
Abstract
Purpose
The purpose of this paper is to present two different methods for the imposition of thermal boundary conditions (BCs) in the framework of two-phase flows: an immersed boundary method (IBM) and a Ghost cell method. Both methods are able to handle Dirichlet as well as Neumann BCs.
Design/methodology/approach
Direct numerical simulations of two-phase flows are performed where the thermal BCs at the phase boundary is accounted for with two different approaches.
Findings
Both methods are validated with the results obtained on a body-fitted mesh. Simulations of the three-dimensional flow and temperature field around a sphere demonstrate versatility and accuracy of both methods.
Originality/value
This is the first time Neumann BCs are imposed by means of an IBM with a direct heating approach employing regularized delta functions. The test cases considered may also serve as benchmarks for other studies.
Keywords
Acknowledgements
The present work was funded by the German Federal Ministry of Education and Research (BMBF) under the contract number 02NUK010B and by the Helmholtz Alliance LIMTECH, project A5. Computation time was provided by the Center for Information Services and High Performance Computing (ZIH) in Dresden.
Citation
Santarelli, C., Kempe, T. and Fröhlich, J. (2016), "Immersed boundary methods for heat transfer", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 26 No. 2, pp. 504-514. https://doi.org/10.1108/HFF-01-2015-0036
Publisher
:Emerald Group Publishing Limited
Copyright © 2016, Emerald Group Publishing Limited