The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

HUANG Yu-ning; MA Hui-yang

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Article Navigation > Applied Mathematics and Mechanics > 2008 > 29(11): 1325-1336

HUANG Yu-ning, MA Hui-yang. The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1325-1336.

Citation:

HUANG Yu-ning, MA Hui-yang. The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1325-1336.

Citation:

HUANG Yu-ning, MA Hui-yang. The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference[J]. Applied Mathematics and Mechanics, 2008, 29(11): 1325-1336.

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The Extended Intrinsic Mean Spin Tensor for Turbulence Modelling in a Non-Inertial Frame of Reference

HUANG Yu-ning¹,
MA Hui-yang²

1.
State Key Laboratory for Turbulence and Complex Systems, Peking University, Beijing 100871, P. R. China;

Received Date: 2008-06-10
Rev Recd Date: 2008-10-05
Publish Date: 2008-11-15

Abstract

Abstract

The role of the extended intrinsic mean spin tensor introduced for turbulence modelling in a non-inertial frame of reference which is described by the Euclidean group of transformations and, in particular, its significance and importance in the approach of the algebraic Reynolds stress modelling, such as in a nonlinear Kepsilon model is investigated. To this end and for illustration of the effect of the extended intrinsic spin tensor on turbulence modelling, several recently developed nonlinear Kepsilon models were examined and their performance in predicting the homogeneous turbulent shear flow in a rotating frame of reference with the LES data was compared. The results and analysis indicate that only if the deficiencies of these models and the like be well understood in detail and be properly corrected, may in the near future more sophisticated nonlinear Kepsilon models be developed to better predict the complex turbulent flows in a non-inertial frame of reference.
- turbulence modelling,
- non-inertial frame ofreference,
- extended intrinsic mean spin tensor,
- frame-dependent

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References(27)

References

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