Abstract
The internal turbulent flow in conical diffuser is a very complicated adverse pressure gradient flow. DLR k-ɛ turbulence model was adopted to study it. The every terms of the Laplace operator in DLR k-ɛ turbulence model and pressure Poisson equation were discretized by upwind difference scheme. A new full implicit difference scheme of 5-point was constructed by using finite volume method and finite difference method. A large sparse matrix with five diagonals was formed and was stored by three arrays of one dimension in a compressed mode. General iterative methods do not work wel1 with large sparse matrix. With algebraic multigrid method(AMG), linear algebraic system of equations was solved and the precision was set at 10−6. The computation results were compared with the experimental results. The results show that the computation results have a good agreement with the experiment data. The precision of computational results and numerical simulation efficiency are greatly improved.
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References
JIANG Guang-biao, HE Yong-sen. Study on diagnostic system for numerical prediction of turbulent flow in a conical diffuser: Effect of model functions, grid disposition and Reynolds numbers[J]. Natural Science Journal of Xiangtan University, 2006, 28(2): 1–4. (in Chinese)
HE Yong-sen, LIU Shao-yin. Numerical prediction of turbulent flows in a conical diffuser using k-ɛ model for near-wall and low Re-number[C]// The 4th Asian International Conference on Fluid Machinery. Suzhou, 1993: 593–599.
HE Yong-sen, LIU Shao-ying. Numerical prediction of turbulent flows through pipelines of machinery[M]. Beijing: National Defence Industry Press, 1999. (in Chinese)
THOMPSON J F, THAMES F C, MASTIN C W. Automatic numerical generation of body-fitted curvilinear coordinate system for fields containing any number of arbitrary two dimensional bodies[J]. J Comp Phys, 1974, 24(5): 299–310.
SHU Shi. Geometry-analysis based algebraic multigrid methods and applications[D]. Xiangtan: Xiangtan University, 2004. (in Chinese)
XIAO Ying-xiong. Study of algebraic multigrid algorithms and applications in solid mechanics[D]. Xiangtan: Xiangtan University, 2006. (in Chinese)
LAUFER J. The structure of turbulence in fully developed pipe flow[M]. Washington: U.S. Government Printing Office, 1955.
OKWUOBI P A C, AZAD R S. Turbulence in a conical diffuser with fully developed flow at entry[J]. J Fluid Mech, 1973, 57(3): 603–622.
SINGH D, AZAD R S. Turbulent kinetic energy balance in a conical diffuser[R]. Manitoba, Canada: Department of Mechanical Engineering University of Manitoba Winniipeg.
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Foundation item: Projects(59375211, 10771178, 10676031) supported by the National Natural Science Foundation of China; Project(07A068) supported by the Key Project of Hunan Education Commission; Project(2005CB321702) supported by the National Key Basic Research Program of China
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Jiang, Gb., He, Ys., Shu, S. et al. Numerical prediction of inner turbulent flow in conical diffuser by using a new five-point scheme and DLR k-ɛ turbulence model. J. Cent. South Univ. Technol. 15 (Suppl 1), 181–186 (2008). https://doi.org/10.1007/s11771-008-0342-y
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DOI: https://doi.org/10.1007/s11771-008-0342-y