Prediction of transition in temporal mixing layer using ILES

Prediction of transition in temporal mixing layer using ILES In this paper, we study the capability of implicit large eddy simulation (ILES) to capture transition. In particular, we study a planar temporal mixing layer subjected to low free stream perturbations. We simulated this problem by ILES and other approaches like Reynolds averaged Navier Stokes simulation (RANS), conventional large eddy simulation (LES) and direct numerical simulation (DNS). Qualitative and quantitative assessment of their relative performance reveals the advantage of ILES over other methods. We propose that any scheme, upwinding in this case, will be successful in simulating such flows if the discrete dispersion relationship of the linearized equation is similar to the theoretical dispersion relation. To verify our conjecture, we derived discretized dispersion relationship with upwinding and central difference scheme for a simple prototype of Navier Stokes equation namely complex Ginzburg Landau equation (CGLE). We found that the two relations and thus perturbation growth are significantly different from each other for, at least, convection dominated flows. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Advances in Engineering Sciences and Applied Mathematics Springer Journals

Prediction of transition in temporal mixing layer using ILES

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Indian Institute of Technology Madras
Subject
Engineering; Engineering, general; Mathematical and Computational Engineering
ISSN
0975-0770
eISSN
0975-5616
D.O.I.
10.1007/s12572-018-0218-9
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study the capability of implicit large eddy simulation (ILES) to capture transition. In particular, we study a planar temporal mixing layer subjected to low free stream perturbations. We simulated this problem by ILES and other approaches like Reynolds averaged Navier Stokes simulation (RANS), conventional large eddy simulation (LES) and direct numerical simulation (DNS). Qualitative and quantitative assessment of their relative performance reveals the advantage of ILES over other methods. We propose that any scheme, upwinding in this case, will be successful in simulating such flows if the discrete dispersion relationship of the linearized equation is similar to the theoretical dispersion relation. To verify our conjecture, we derived discretized dispersion relationship with upwinding and central difference scheme for a simple prototype of Navier Stokes equation namely complex Ginzburg Landau equation (CGLE). We found that the two relations and thus perturbation growth are significantly different from each other for, at least, convection dominated flows.

Journal

International Journal of Advances in Engineering Sciences and Applied MathematicsSpringer Journals

Published: Jun 2, 2018

References

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