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Lattice Boltzmann Finite Volume Formulation with Improved Stability

Communications in Computational Physics 2012年第6期12卷 42-64页

作者： A.Zarghami M.J.Maghrebi J.Ghasemi S.Ubertini Department of Mechanical Engineering Shahrood University of TechnologyShahroodIran Department of Mechanical Engineering Ferdowsi University of MashhadMashhadIran Faculty of Engineering Zanjan UniversityZanjanIran Department of Technologies University of Naples"Parthenope"NaplesItaly

The most severe limitation of the standard Lattice Boltzmann Method is the use of uniform Cartesian grids especiallywhen there is a need for high resolutions near the body or *** the recent advances in lattice Boltzmann research to handle complex geometries,a particularly remarkable option is represented by changing the solution procedure from the original"stream and collide"to a finite volume ***,most of the presented schemes have stability *** paper presents a stable and accurate finite-volume lattice Boltzmann formulation based on a cell-centred *** enhance stability,upwind second order pressure biasing factors are used as flux correctors on a D2Q9 *** resulting model has been tested against a uniform flow past a cylinder and typical free shear flow problems at low and moderate Reynolds numbers:boundary layer,mixing layer and plane jet *** numerical results show a very good accuracy and agreement with the exact solution of the Navier-Stokes equation and previous numerical results and/or experimental *** in self-similar coordinates are also investigated and show that the timeaveraged statistics for velocity and vorticity express self-similarity at low Reynolds ***,the scheme is applied to simulate the flow around circular cylinder and the Reynolds number range is chosen in such a way that the flow is time *** agreement of the numerical results with previous results is satisfactory.

关键词： Lattice Boltzmann equation finite volume stability cell-centered scheme free shear flows

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