| LATTICE BGK MODEL FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATION |
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| 作者姓名： | Zhang Xiao-jun Liu Zu-yuan School of Transportation Wuhan University of Technology Wuhan China |
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| 作者单位： | Zhang Xiao-jun，Liu Zu-yuan School of Transportation，Wuhan University of Technology，Wuhan 430063，China |
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| 摘 要： | 1 . INTRODUCTIONInthelastdecadeorso ,theLatticeBoltz mann (LB)methodhasemergedasanewandef fectivenumericaltechniqueofComputationalFluidDynamics (CFD) 1 3] ,especially ,theLBGKmodelhasachieved greatsuccessinsimulationsoffluidflowsandinmodeling physicsinfluids4 9] .ButLBGKmodelshouldbeviewedasanarticicialcompressibleschemetosimulateincompressiblefluid10 ] .Inotherwords,throughmultiscalingex pansionandChapman Enskog procedure11] ,thecompressibleNavier Stokesequationscanberecov …
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LATTICE BGK MODEL FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATION |
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| Zhang Xiao-jun,Liu Zu-yuan School of Transportation,Wuhan University of Technology,Wuhan ,China.LATTICE BGK MODEL FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATION[J].Journal of Hydrodynamics,2003,15(3). |
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| Authors: | Zhang Xiao-jun LIU Zu-yuan |
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| Abstract: | In this paper a Lattice Bhatager-Gross-Krook (LBGK) model to simulate incompressible flow is developed.The basic idea is to explicitly eliminate the compressible effect, due to the density fluctuation in the existing LBGK models.In the proposed incompressible LBGK model, the pressure p instead of the constant mass density ρ0 is the independent dynamic variable.The incompressible Navier-Stokes equations are exactly derived from this incompressible LBGK model.In order to test the LBGK model, the plane Poiseuille flow driven either by pressure gradient or a fixed velocity profile at entrance as well as the 2-D Womersley flow are simulated.The numerical results are found to be in excellent agreement with theory and the results of previous studies. |
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| Keywords: | Lattice BGK method incompressible Navier-Stokes equation Poiseuille flow Womersley flow |
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