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Implicit numerical scheme based on smac method for unsteady incompressible Navier-Stokes equations

Petroleum Science 2008年第2期5卷 172-178页

作者： Li Zhenlin Zhang Yongxue School of Mechanical and Electronic Engineering China University of Petroleum Beijing 102249 China

An implicit numerical scheme is developed based on the simplified marker and cell （smac） method to solve Reynolds-averaged equations in general curvilinear coordinates for three-dimensional （3-D） unsteady incompressible turbulent flow. The governing equations include the Reynolds-averaged momentum equations, in which contravariant velocities are unknown variables, pressure-correction Poisson equation and k- s turbulent equations. The governing equations are discretized in a 3-D MAC staggered grid system. To improve the numerical stability of the implicit smac scheme, the higherorder high-resolution Chakravarthy-Osher total variation diminishing （TVD） scheme is used to discretize the convective terms in momentum equations and k- e equations. The discretized algebraic momentum equations and k- s equations are solved by the time-diversion multiple access （CTDMA） method. The algebraic Poisson equations are solved by the Tschebyscheff SLOR （successive linear over relaxation） method with alternating computational directions. At the end of the paper, the unsteady flow at high Reynolds numbers through a simplified cascade made up of NACA65-410 blade are simulated with the program written according to the implicit numerical scheme. The reliability and accuracy of the implicit numerical scheme are verified through the satisfactory agreement between the numerical results of the surface pressure coefficient and experimental data. The numerical results indicate that Reynolds number and angle of attack are two primary factors affecting the characteristics of unsteady flow.

关键词： Unsteady incompressible flow smac method contravariant velocity TVD scheme,cascade

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Capturing Moving Interfaces by LevelSet method with Ghost Technique

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Journal of Thermal Science 2007年第4期16卷 376-381页

作者： Wang Xueyao Liu Shi Liu Changchun Jiang Fan Li Zhihong Ma Zhengzhong Laboratory of Advanced Energy and Power Technology Institute of Engineering Thermophysics ChineseAcademy of Sciences Beijing 100080 Graduate School of Chinese Academy of Science Beijing 100080 North China Electric Power University Beijing 102206 Beijing Phoneix Industry Furnace Co.Ltd Laboratory of Propulsion and Power Institute of Engineering Thermophysics Chinese Academy of SciencesBeijing 100080

smac method is adopted to solve Navier-Stokes equations, by using fifth-order WENO scheme and TVD R-K scheme, LevelSet methods are used to capture moving interfaces with improved Ghost techniques. Some examples, e.g. the incompressible inviscid flame interfaces of one and two dimensions and the rising-merging of oil bubbles in water, are computed and the comparison with the result of commercial CFD software Fluent has been done. The rationality of LevelSet methods with Ghost technique in capturing moving interfaces with jump conditions is affirmed. It is shown that Level Set method can capture interfaces sharply without complicated reconstruction and can be easily programmed.

关键词： LevelSet methods Ghost technique capture moving interfaces smac method

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