Abstract
The turbulent transport of a passive scalar is an important and challenging problem in many applications in fluid mechanics. It involves different range of scales in the fluid and in the scalar and requires important computational resources. In this work we show how hybrid numerical methods, combining Eulerian and Lagrangian schemes, are natural tools to address this mutli-scale problem. One in particular shows that in homogeneous turbulence experiments at various Schmidt numbers these methods allow to recover the theoretical predictions of universal scaling at a minimal cost. We also outline how hybrid methods can take advantage of heterogeneous platforms combining CPU and GPU processors.
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Acknowledgments
This work was partially supported by the Agence Nationale pour la Recherche (ANR) under Contracts No. ANR-2010-JCJC-091601 and ANR-2010-COSI-0009. G.-H. C. is also grateful for the support from Institut Universitaire de France. Computations reported in Sect. 3 were performed using HPC resources from GENCI-IDRIS (Grant 2012-020611).
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Balarac, G., Cottet, G.H., Etancelin, J.M., Lagaert, J.B., Perignon, F., Picard, C. (2014). Multi-scale Problems, High Performance Computing and Hybrid Numerical Methods. In: Wakayama, M., et al. The Impact of Applications on Mathematics. Mathematics for Industry, vol 1. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54907-9_18
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DOI: https://doi.org/10.1007/978-4-431-54907-9_18
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