A Two-Dimensional Embedded-Boundary Method for Convection Problems with Moving Boundaries

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Abstract

A 2D embedded-boundary algorithm for convection problems is presented. A moving body of arbitrary boundary shape is immersed in a Cartesian finite-volume grid, which is fixed in space. The boundary surface is reconstructed in such a way that only certain fluxes in the immediate neighbourhood indirectly accommodate effects of the boundary conditions valid on the moving body. Over the majority of the domain, where these boundary conditions have “no” effect, the fluxes are computed using standard schemes. Examples are given to validate the method.

Keywords

Boundary Point Convection Problem Fixed Grid MUSCL Scheme Embed Boundary 
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Notes

Acknowledgements

The first author’s research is funded by the Delft Centre for Computational Science & Engineering (DCSE), TU Delft.

References

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Centrum Wiskunde & InformaticaAmsterdamThe Netherlands
  2. 2.Faculty of Aerospace Engineering, TU DelftAmsterdamThe Netherlands

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