流体机械内部流动数值模拟方法综述Summary of Numerical Simulation Methods for Flow in Fluid Machinery
张永学,李振林
ZHANG Yong-xue,LI Zhen-lin( China University of Petroleum
摘要(Abstract):
综合分析介绍了流体机械内部流动的各种数值模拟方法和最近的一些研究热点。以期有助于解决有关流体机械内部流动分析问题时采用最合适的数值方法。
The diverse numerical simulation methods and some new research hotspots for the flows in fluid machinery are introduced comprehensively.It is useful for the readers to select the most suitable numerical method in practice for solving the problems about flows in fluid machinery more efficiently with less time and cost.
关键词(KeyWords):
流体机械;数值模拟;N-S方程;逆变速度;TVD格式;ENO格式
fluid machinery;numerical simulation;N-S equations;contravariant velocity;TVD scheme;ENO scheme
基金项目(Foundation):
作者(Author):
张永学,李振林
ZHANG Yong-xue,LI Zhen-lin( China University of Petroleum
参考文献(References):
- [1]Wu ChungHua.A General Theory of Three-Dimensional-Flow in Subsonic and Supersonic Turbomachines of Axial,Radial and Mixed-Flow Type[J].Trans.ASME Nov.1952.
- [2]熊鳌魁,詹德新.不可压流场数值模拟方法综述[J].武汉交通科技大学学报.1999,23(5):523-528.
- [3]Lakshminarayana B.An Assessment of Computational Flu-id Dynamic Techniques in The Analysis and Design of Tur-bomachinery.The 1990 Freeman Scholar Lecture[J].J.Fluids Engineering.1991,113:315-352.
- [4]陶文铨.计算传热学的近代进展[M].北京:科学出版社,2000.
- [5]Rodi W.Recent Developments in Turbulence Modeling[A].In:93 workshop on mathematical modeling of tur-bulent flows[C].Tokyo.August 26-30,1993.
- [6]Girault V,Raviart P A.Finite element methods forNavier-Stokes equations.Berlin:Springer,1986.
- [7]Chen C J,Neshart-Naseri H,Ho K S.Finite analytic nu-merical simulation of heat transfer in two-dimensional cavi-ty flow[J].Numer Heat Transfer,1981,4:179-197.
- [8]Liao S-J,Zhu J-M.A short note on the higher orderstreamfunction-vorticity formulation of 2D steady stateNavier-stokes equations[J].Int J Numer Methods Fluids,1996,22:1-11.
- [9]Gottlieb D,Orszag S A.Numerical analysis of spectralmethods:theory and applications[M].Philadephia:Soci-ety for Industrial and Applied mathematics,1978.
- [10]Gotta R M.The integral transfer method in computationalheat and fluid flow[A].In:G P Hewitt,ed.Proceed-ings of the Tenth International Heat Transfer Conference,Brighton,1994,1:43-60.
- [11]Roache P J.Computational Fluid Dynamics[A].Her-mosa,Albuquerque,New Mexico,1972.
- [12]Fletcher CAJ.Computational technology for fluid dynam-ics[A].specific techniques for different flowcategories.springer-verlag,1988,2:1-20.
- [13]Harlow F H,Welch J E.Numerical Calculation of TimeDependent Viscous Incompressible Flow of Fluid withFree Surface[J].Phys.Fluids,1965,8(12):2182-2189.
- [14]Harlow F H,Welch J E.Numerical study of large ampli-tude free surface motions[J].phys.Fluids 1965,9:842-846.
- [15]Amsden A A,Harlow F H.A Simplified MAC Techniquefor Incompressible Fluid Flow Calculations[J].J.Comp.Phys.,1970,6(2):322-325.
- [16]Chorin A J.Numerical Solution of the Navier-Stokes E-quations[J].Math.Comput.,1968,22(4):745-762.
- [17]Kawai Hideki,Katoh Yasumasa,Sawada Tatsuo,et al.GSMAC-FEM for Incompressible Viscous Flow Analysis(A Modified GSMAC Method)[J].JSME InternationalJournal.1990,33(1):17-25.
- [18]Patankar S V,Spalding D B.A Calculation Procedure forHeat,Mass and Momentum Transfer in Three-Dimension-al Parabolic Flows[J].Int.J.Heat Mass Transfer,1972,15:1787-1806.
- [19]Patankar S V.Numerical Heat Transfer and Fluid Flow[M].Hemisphere,Washington,D.C.1980.
- [20]Van Doormaal J R,Raithby G D.Enhancement of theSIMPLE Method for Predicting Incompressible FluidFlows[J].Numer.Heat Transfer,1984,7:147-163.
- [21]Marek R,Straub J.Hybrid relaxation-a technique to en-hance the rate of convergence of iterative algorithms[J].umer Heat Transfer,Part B,1993.23:483-497.
- [22]Date A W.Solution of Navier-Stokes equations on non-stagered grid of all speeds[J].umer Heat Transfer,PartB,1998.33:451-467.
- [23]Zbigniew I,Wz nicki,Henryk A.Jedrzejec.A newclass of modified line-SOR algorithms[J].omputationaland Applied Mathematics,2001,131:89-142.
- 流体机械
- 数值模拟
- N-S方程
- 逆变速度
- TVD格式
- ENO格式
fluid machinery - numerical simulation
- N-S equations
- contravariant velocity
- TVD scheme
- ENO scheme