期刊
CHAOS
卷 23, 期 1, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.4795749
关键词
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资金
- National Science Foundation [0933857]
- Div Of Chem, Bioeng, Env, & Transp Sys
- Directorate For Engineering [0933857] Funding Source: National Science Foundation
The computation of Lagrangian coherent structures typically involves post-processing of experimentally or numerically obtained fluid velocity fields to obtain the largest finite-time Lyapunov exponent (FTLE) field. However, this procedure can be tedious for large-scale complex flows of general interest. In this work, an alternative approach involving computation of the FTLE on-the-fly during direct numerical simulation of the full three dimensional Navier-Stokes equations is developed. The implementation relies on Lagrangian particle tracking to compose forward time flow maps, and an Eulerian treatment of the backward time flow map [S. Leung, J. Comput. Phys. 230, 3500-3524 (2011)] coupled with a semi-Lagrangian advection scheme. The flow maps are accurately constructed from a sequence of smaller sub-steps stored on disk [S. Brunton and C. Rowley, Chaos 20, 017503 (2010)], resulting in low CPU and memory requirements to compute evolving FTLE fields. Several examples are presented to demonstrate the capability and parallel scalability of the approach for a variety of two and three dimensional flows. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4795749]
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