A Pressure-Correction Scheme for Rotational Navier-Stokes Equations and Its Application to Rotating Turbulent Flows  

作　　者：Dinesh A.Shetty Jie Shen Abhilash J.Chandy Steven H.Frankel 

机构地区：[1]School of Mechanical Engineering,Purdue University,West Lafayette,IN 47907,USA [2]School of Mathematical Sciences,Xiamen University,Xiamen,China [3]Department of Mathematics,Purdue University,West Lafayette,IN 47907,USA [4]Department of Mechanical Engineering,University of Akron,Akron,OH 44325,USA

出　　处：《Communications in Computational Physics》2011年第3期740-755,共16页计算物理通讯（英文）

基　　金：This work is partially supported by NSF grants CBET-0651788 and DMS-0915066.

摘　　要：The rotational incremental pressure-correction(RIPC)scheme,described in Timmermans et al.[Int.J.Numer.Methods.Fluids.,22(1996)]and Shen et al.[Math.Comput.,73(2003)]for non-rotational Navier-Stokes equations,is extended to rotating incompressible flows.The method is implemented in the context of a pseudo Fourier-spectral code and applied to several rotating laminar and turbulent flows.The performance of the scheme and the computational results are compared to the socalled diagonalization method(DM)developed by Morinishi et al.[Int.J.Heat.Fluid.Flow.,22(2001)].The RIPC predictions are in excellent agreement with the DM predictions,while being simpler to implement and computationally more efficient.The RIPC scheme is not in anyway limited to implementation in a pseudo-spectral code or periodic boundary conditions,and can be used in complex geometries and with other suitable boundary conditions.

关 键 词：Rotating turbulent flow pressure-correction Navier-Stokes equations Fourier-spectral method 

分 类 号：O17[理学—数学]