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Locally-Adaptive Tabulation of Low-Dimensional Manifolds using Bezier Patch Reconstruction

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01[CICS]-Locally-Adaptive Tabulation of Low Dimensional Manifolds using Bezier Patch Reconstruction.pdf (897.72 KB)

Date

2017-05-17

Authors

Yao, Matthew X.
Mortada, Mohammad
Devaud, Cecile
Hickey, Jean-Pierre

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Abstract

An efficient tabulation strategy for turbulent combustion simulations is proposed. Using a locally adaptive arrangement of structured Bezier patches–often used in computer graphics–the combustion manifold can be efficiently tabulated; thus reducing the table size by over an order of magnitude while maintaining high accuracy. A hybrid search algorithm is implemented that uses a one-step quadrant analysis followed by a linear search to minimize the cost of the data retrieval. The present tabulation has been successfully applied to flamelet/progress variable approach (FPVA) and trajectory generated low-dimensional manifold (TGLDM). The error, computational size and search-and-retrieval time are quantified and compared against classical tabulation approaches.

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http://hdl.handle.net/10012/13901

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Waterloo Research
Mechanical and Mechatronics Engineering