Numerical study and acceleration of LBM-RANS simulation of turbulent flow

doi:10.1016/j.cjche.2017.05.013

Chinese Journal of Chemical Engineering ›› 2018, Vol. 26 ›› Issue (1): 31-42.DOI: 10.1016/j.cjche.2017.05.013

• Fluid Dynamics and Transport Phenomena • 上一篇下一篇

Numerical study and acceleration of LBM-RANS simulation of turbulent flow

Shuli Shu, Ning Yang

State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China

收稿日期:2017-01-17 修回日期:2017-05-18 出版日期:2018-01-28 发布日期:2018-03-01
通讯作者: Ning Yang,E-mail address:nyang@ipe.ac.cn
基金资助:
Supported by the National Key Research and Development Program of China (2017YFB0602500), National Natural Science Foundation of China (91634203 and 91434121), and Chinese Academy of Sciences (122111KYSB20150003).

Numerical study and acceleration of LBM-RANS simulation of turbulent flow

Shuli Shu, Ning Yang

State Key Laboratory of Multiphase Complex Systems, Institute of Process Engineering, Chinese Academy of Sciences, Beijing 100190, China

Received:2017-01-17 Revised:2017-05-18 Online:2018-01-28 Published:2018-03-01
Contact: Ning Yang,E-mail address:nyang@ipe.ac.cn
Supported by:
Supported by the National Key Research and Development Program of China (2017YFB0602500), National Natural Science Foundation of China (91634203 and 91434121), and Chinese Academy of Sciences (122111KYSB20150003).

摘要/Abstract

摘要： The coupled models of LBM (Lattice Boltzmann Method) and RANS (Reynolds-Averaged Navier-Stokes) are more practical for the transient simulation of mixing processes at large spatial and temporal scales such as crude oil mixing in large-diameter storage tanks. To keep the efficiency of parallel computation of LBM, the RANS model should also be explicitly solved; whereas to keep the numerical stability the implicit method should be better for RANS model. This article explores the numerical stability of explicit methods in 2D cases on one hand, and on the other hand how to accelerate the computation of the coupled model of LBM and an implicitly solved RANS model in 3D cases. To ensure the numerical stability and meanwhile avoid the use of empirical artificial limitations on turbulent quantities in 2D cases, we investigated the impacts of collision models in LBM (LBGK, MRT) and the numerical schemes for convection terms (WENO, TVD) and production terms (FDM, NEQM) in an explicitly solved standard k-ε model. The combination of MRT and TVD or MRT and NEQM can be screened out for the 2D simulation of backward-facing step flow even at Re=10⁷. This scheme combination, however, may still not guarantee the numerical stability in 3D cases and hence much finer grids are required, which is not suitable for the simulation of industrial-scale processes. Then we proposed a new method to accelerate the coupled model of LBM with RANS (implicitly solved). When implemented on multiple GPUs, this new method can achieve 13.5-fold acceleration relative to the original coupled model and 40-fold acceleration compared to the traditional CFD simulation based on Finite Volume (FV) method accelerated by multiple CPUs. This study provides the basis for the transient flow simulation of larger spatial and temporal scales in industrial applications with LBM-RANS methods.

关键词: Lattice Boltzmann Method Reynolds-Averaged Navier-Stokes, Graphic Processing Units, mixing, transient simulation

Abstract: The coupled models of LBM (Lattice Boltzmann Method) and RANS (Reynolds-Averaged Navier-Stokes) are more practical for the transient simulation of mixing processes at large spatial and temporal scales such as crude oil mixing in large-diameter storage tanks. To keep the efficiency of parallel computation of LBM, the RANS model should also be explicitly solved; whereas to keep the numerical stability the implicit method should be better for RANS model. This article explores the numerical stability of explicit methods in 2D cases on one hand, and on the other hand how to accelerate the computation of the coupled model of LBM and an implicitly solved RANS model in 3D cases. To ensure the numerical stability and meanwhile avoid the use of empirical artificial limitations on turbulent quantities in 2D cases, we investigated the impacts of collision models in LBM (LBGK, MRT) and the numerical schemes for convection terms (WENO, TVD) and production terms (FDM, NEQM) in an explicitly solved standard k-ε model. The combination of MRT and TVD or MRT and NEQM can be screened out for the 2D simulation of backward-facing step flow even at Re=10⁷. This scheme combination, however, may still not guarantee the numerical stability in 3D cases and hence much finer grids are required, which is not suitable for the simulation of industrial-scale processes. Then we proposed a new method to accelerate the coupled model of LBM with RANS (implicitly solved). When implemented on multiple GPUs, this new method can achieve 13.5-fold acceleration relative to the original coupled model and 40-fold acceleration compared to the traditional CFD simulation based on Finite Volume (FV) method accelerated by multiple CPUs. This study provides the basis for the transient flow simulation of larger spatial and temporal scales in industrial applications with LBM-RANS methods.

Key words: Lattice Boltzmann Method Reynolds-Averaged Navier-Stokes, Graphic Processing Units, mixing, transient simulation

Shuli Shu, Ning Yang. Numerical study and acceleration of LBM-RANS simulation of turbulent flow[J]. Chinese Journal of Chemical Engineering, 2018, 26(1): 31-42.

Shuli Shu, Ning Yang. Numerical study and acceleration of LBM-RANS simulation of turbulent flow[J]. Chin.J.Chem.Eng., 2018, 26(1): 31-42.

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Numerical study and acceleration of LBM-RANS simulation of turbulent flow

Numerical study and acceleration of LBM-RANS simulation of turbulent flow

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