Immersed boundary methods have been widely used for simulating flows with complex geometries, as quality boundary-conforming grids are usually difficult to generate for complex geometries, especially, when motion and/or deformation is involved. Complex geometries can be conveniently represented using triangulated surfaces in a Lagrangian manner. A major task in immersed boundary simulations is to inject the immersed boundary information into the background Cartesian grid, such as the inside/outside status of a grid point with regard to the immersed boundary and the accurate sub-cell position of the immersed boundary for a grid point next to it. For high resolution simulations with moving/deforming boundaries, this step can be very expensive. In this paper, a simple, fast, and robust procedure is developed for setting up complex triangulations. Several cases with complex geometries are performed to demonstrate the efficiency and robustness.
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ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels
July 8–12, 2012
Rio Grande, Puerto Rico, USA
Conference Sponsors:
- Fluids Engineering Division
ISBN:
978-0-7918-4475-5
PROCEEDINGS PAPER
Robust and Efficient Setup Procedure for Complex Triangulations in Immersed Boundary Simulations
Jianming Yang,
Jianming Yang
University of Iowa, Iowa City, IA
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Frederick Stern
Frederick Stern
University of Iowa, Iowa City, IA
Search for other works by this author on:
Jianming Yang
University of Iowa, Iowa City, IA
Frederick Stern
University of Iowa, Iowa City, IA
Paper No:
FEDSM2012-72347, pp. 1425-1433; 9 pages
Published Online:
July 24, 2013
Citation
Yang, J, & Stern, F. "Robust and Efficient Setup Procedure for Complex Triangulations in Immersed Boundary Simulations." Proceedings of the ASME 2012 Fluids Engineering Division Summer Meeting collocated with the ASME 2012 Heat Transfer Summer Conference and the ASME 2012 10th International Conference on Nanochannels, Microchannels, and Minichannels. Volume 1: Symposia, Parts A and B. Rio Grande, Puerto Rico, USA. July 8–12, 2012. pp. 1425-1433. ASME. https://doi.org/10.1115/FEDSM2012-72347
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