Volume 2, Issue 4
Direct Numerical Simulation of Incompressible Flows in a Zero-Pressure Gradient Turbulent Boundary Layer

Chuanta Lin & Zuojin Zhu

Adv. Appl. Math. Mech., 2 (2010), pp. 503-517.

Published online: 2010-02

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  • Abstract

Direct numerical simulation (DNS) of incompressible flows in a zero-pressure gradient turbulent boundary layer (TBL) is conducted by a finite difference method in which a fourth order upwind scheme is applied to discretize the convective terms while a re-scaling approach is used to set inlet flow conditions. The Reynolds numbers based on free flow velocity and momentum thickness at the recycle section are respectively 687, 1074, and 1430. The DNS has obtained favorable results indicating that the turbulence statistics is quite satisfactory as compared with the existing numerical and experimental results. The three dimensional turbulent structures at the momentum thickness Reynolds number of 1430 in several different instants are illustrated by the iso-surface of swirl strength square (the square of imaginary part of the complex eigenvalue of velocity gradient tensor) together with velocity vectors in three different cross sections. It is found that there are three kinds of vortical structures: quasi-symmetrical and asymmetrical hairpin vortices, and worm-like vortices. The DNS based on the numerical method can certainly reveal the main characteristics of the TBL flows at the given Reynolds numbers.

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@Article{AAMM-2-503, author = {Chuanta Lin and Zuojin Zhu}, title = {Direct Numerical Simulation of Incompressible Flows in a Zero-Pressure Gradient Turbulent Boundary Layer}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {4}, pages = {503--517}, abstract = {

Direct numerical simulation (DNS) of incompressible flows in a zero-pressure gradient turbulent boundary layer (TBL) is conducted by a finite difference method in which a fourth order upwind scheme is applied to discretize the convective terms while a re-scaling approach is used to set inlet flow conditions. The Reynolds numbers based on free flow velocity and momentum thickness at the recycle section are respectively 687, 1074, and 1430. The DNS has obtained favorable results indicating that the turbulence statistics is quite satisfactory as compared with the existing numerical and experimental results. The three dimensional turbulent structures at the momentum thickness Reynolds number of 1430 in several different instants are illustrated by the iso-surface of swirl strength square (the square of imaginary part of the complex eigenvalue of velocity gradient tensor) together with velocity vectors in three different cross sections. It is found that there are three kinds of vortical structures: quasi-symmetrical and asymmetrical hairpin vortices, and worm-like vortices. The DNS based on the numerical method can certainly reveal the main characteristics of the TBL flows at the given Reynolds numbers.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m09100}, url = {http://global-sci.org/intro/article_detail/aamm/8343.html} }
TY - JOUR T1 - Direct Numerical Simulation of Incompressible Flows in a Zero-Pressure Gradient Turbulent Boundary Layer AU - Chuanta Lin & Zuojin Zhu JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 503 EP - 517 PY - 2010 DA - 2010/02 SN - 2 DO - http://doi.org/10.4208/aamm.09-m09100 UR - https://global-sci.org/intro/article_detail/aamm/8343.html KW - AB -

Direct numerical simulation (DNS) of incompressible flows in a zero-pressure gradient turbulent boundary layer (TBL) is conducted by a finite difference method in which a fourth order upwind scheme is applied to discretize the convective terms while a re-scaling approach is used to set inlet flow conditions. The Reynolds numbers based on free flow velocity and momentum thickness at the recycle section are respectively 687, 1074, and 1430. The DNS has obtained favorable results indicating that the turbulence statistics is quite satisfactory as compared with the existing numerical and experimental results. The three dimensional turbulent structures at the momentum thickness Reynolds number of 1430 in several different instants are illustrated by the iso-surface of swirl strength square (the square of imaginary part of the complex eigenvalue of velocity gradient tensor) together with velocity vectors in three different cross sections. It is found that there are three kinds of vortical structures: quasi-symmetrical and asymmetrical hairpin vortices, and worm-like vortices. The DNS based on the numerical method can certainly reveal the main characteristics of the TBL flows at the given Reynolds numbers.

Chuanta Lin & Zuojin Zhu. (1970). Direct Numerical Simulation of Incompressible Flows in a Zero-Pressure Gradient Turbulent Boundary Layer. Advances in Applied Mathematics and Mechanics. 2 (4). 503-517. doi:10.4208/aamm.09-m09100
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