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Simulations of Wall Bounded Turbulent Flows Using General Pressure Equation

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Abstract

The general pressure equation (GPE) based method is fully explicit, and the method does not require either solving the pressure Poisson equation nor executing sub-iteration for incompressible flow simulation. However, few numerical validations of GPE method are available, especially under complex flows like turbulence. In this work, GPE is used to conduct direct numerical simulations of the turbulent lid-driven cavity (LDC) flow at \({\text {Re}}=3200\) and fully developed turbulent flow through a square duct at \({\text {Re}}_{\tau }=360.\) Predicted turbulence statistics are compared with existing numerical and experimental data, providing an excellent quantitative agreement. The intricate flow patterns such as the Taylor–Görtler-like vortices in LDC flow and the mean secondary flow at the cross-section in the square duct are captured, showing both qualitative and quantitative agreements with measurements. Results from the present study indicate the capability of the GPE method for accurate incompressible turbulent flow calculation.

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Acknowledgements

Thanks to the Ph.D. student Chiu Tzu-Hsuan at NTHU for providing the performance data of LBM. The authors gratefully acknowledge the supports by the Ministry of Science and Technology, Taiwan (Grant No. 105-2221-E-007-061-MY3) and the computational facilities provided by the Taiwan National Center for High-Performance Computing.

Funding

This study was funded by Ministry of Science and Technology, Taiwan (Grant No. 105-2221-E-007-061-MY3).

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  1. Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, 30013, Taiwan

    Xiaolei Shi & Chao-An Lin

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  1. Xiaolei Shi
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Correspondence to Chao-An Lin.

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Shi, X., Lin, CA. Simulations of Wall Bounded Turbulent Flows Using General Pressure Equation. Flow Turbulence Combust 105, 67–82 (2020). https://doi.org/10.1007/s10494-020-00119-z

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