A comparative study of the axisymmetric lattice Boltzmann models under the incompressible limit

[1]  Jia Wei Chew,et al.  Alternative extrapolation-based symmetry boundary implementations for the axisymmetric lattice Boltzmann method. , 2017, Physical review. E.

[2]  Jia Wei Chew,et al.  Forcing scheme analysis for the axisymmetric lattice Boltzmann method under incompressible limit. , 2017, Physical review. E.

[3]  Lei Wu,et al.  A lattice Boltzmann method for axisymmetric thermocapillary flows , 2017 .

[4]  Zhong Zeng,et al.  Alternative kinetic theory based lattice Boltzmann model for incompressible axisymmetric flows , 2016, Comput. Math. Appl..

[5]  Jia Wei Chew,et al.  Consistent lattice Boltzmann methods for incompressible axisymmetric flows. , 2016, Physical review. E.

[6]  Z. Zeng,et al.  Lattice Boltzmann simulation of the thermocapillary flow in an annular two liquid layers system with deformable interface , 2015 .

[7]  Yangyang He,et al.  Lattice Boltzmann methods for multiphase flow and phase-change heat transfer , 2015, 1508.00940.

[8]  Wenjun Xie,et al.  An axisymmetric multiple-relaxation-time lattice Boltzmann scheme , 2015, J. Comput. Phys..

[9]  Sauro Succi,et al.  Regularized lattice BGK versus highly accurate spectral methods for cavity flow simulations , 2014 .

[10]  Z. Chai,et al.  Phase-field-based lattice Boltzmann model for axisymmetric multiphase flows. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Haibo Huang,et al.  A mass-conserving axisymmetric multiphase lattice Boltzmann method and its application in simulation of bubble rising , 2014, J. Comput. Phys..

[12]  M. Krafczyk,et al.  Numerical simulation of unsteady flows in Czochralski crystal growth by lattice Boltzmann methods , 2014 .

[13]  Chiang Juay Teo,et al.  A fractional step axisymmetric lattice Boltzmann flux solver for incompressible swirling and rotating flows , 2014 .

[14]  S Succi,et al.  Regularized lattice Bhatnagar-Gross-Krook model for two- and three-dimensional cavity flow simulations. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.

[15]  Renwei Mei,et al.  Multiple-relaxation-time lattice Boltzmann model for the axisymmetric convection diffusion equation , 2013 .

[16]  Federico Toschi,et al.  Axisymmetric multiphase lattice Boltzmann method. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  C. Shu,et al.  Hybrid multiple-relaxation-time lattice-Boltzmann finite-difference method for axisymmetric multiphase flows , 2013 .

[18]  B. Shi,et al.  Microscale boundary conditions of the lattice Boltzmann equation method for simulating microtube flows. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Z. Chai,et al.  Lattice BGK Model for Incompressible Axisymmetric Flows , 2012 .

[20]  Jian Guo Zhou,et al.  Axisymmetric lattice Boltzmann method revised. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Zhenhua Chai,et al.  A lattice Boltzmann model for axisymmetric thermal flows through porous media , 2010 .

[22]  Chuguang Zheng,et al.  Multi-relaxation-time lattice Boltzmann model for axisymmetric flows , 2010 .

[23]  Chuguang Zheng,et al.  Kinetic theory based lattice Boltzmann equation with viscous dissipation and pressure work for axisymmetric thermal flows , 2010, J. Comput. Phys..

[24]  Chuguang Zheng,et al.  Lattice Boltzmann equation for axisymmetric thermal flows , 2010 .

[25]  W. Tao,et al.  Improved axisymmetric lattice Boltzmann scheme. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[26]  Xi-yun Lu,et al.  Theoretical and numerical study of axisymmetric lattice Boltzmann models. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[27]  W. Tao,et al.  Lattice Boltzmann model for axisymmetric thermal flows. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  Chuguang Zheng,et al.  Theory of the lattice Boltzmann equation: Lattice Boltzmann model for axisymmetric flows. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Manfred Krafczyk,et al.  Simulation of buoyancy-driven flows in a vertical cylinder using a simple lattice Boltzmann model. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[30]  Manfred Krafczyk,et al.  Lattice Boltzmann model for incompressible axisymmetric flows. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Jian Guo Zhou,et al.  Axisymmetric lattice Boltzmann method. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  T N Phillips,et al.  Numerical validation of a consistent axisymmetric lattice Boltzmann model. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  T. Phillips,et al.  Erratum: Modified lattice Boltzmann model for axisymmetric flows [Phys. Rev. E 75 , 056703 (2007)] , 2007 .

[34]  K. N. Lakshmisha,et al.  Lattice Boltzmann simulation of lid-driven swirling flow in confined cylindrical cavity , 2007 .

[35]  T N Phillips,et al.  Modified lattice Boltzmann model for axisymmetric flows. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[36]  Chang Shu,et al.  Hybrid lattice Boltzmann finite‐difference simulation of axisymmetric swirling and rotating flows , 2007 .

[37]  John Abraham,et al.  Lattice Boltzmann simulations of two-phase flow with high density ratio in axially symmetric geometry. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[38]  Chang Shu,et al.  AN AXISYMMETRIC INCOMPRESSIBLE LATTICE BOLTZMANN MODEL FOR PIPE FLOW , 2006 .

[39]  P. Dellar.  Non-hydrodynamic modes and general equations of state in lattice Boltzmann equations , 2006 .

[40]  Chang Shu,et al.  An axisymmetric incompressible lattice BGK model for simulation of the pulsatile flow in a circular pipe , 2005 .

[41]  Ching-Long Lin,et al.  A stable discretization of the lattice Boltzmann equation for simulation of incompressible two-phase flows at high density ratio , 2005 .

[42]  J. Abraham,et al.  Lattice Boltzmann model for axisymmetric multiphase flows. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[43]  Yan Peng,et al.  Numerical investigation of flows in Czochralski crystal growth by an axisymmetric lattice Boltzmann method , 2003 .

[44]  B. Shi,et al.  An extrapolation method for boundary conditions in lattice Boltzmann method , 2002 .

[45]  B. Shi,et al.  Non-equilibrium extrapolation method for velocity and pressure boundary conditions in the lattice Boltzmann method , 2002 .

[46]  P. Dellar.  Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[47]  Michael Junk,et al.  A finite difference interpretation of the lattice Boltzmann method , 2001 .

[48]  C M Care,et al.  Lattice Boltzmann equation hydrodynamics. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[49]  Fotis Sotiropoulos,et al.  The three-dimensional structure of confined swirling flows with vortex breakdown , 2001, Journal of Fluid Mechanics.

[50]  J. Lopezb,et al.  Symmetry breaking of the flow in a cylinder driven by a rotating end wall , 2000 .

[51]  Andreas Spohn,et al.  Experiments on vortex breakdown in a confined flow generated by a rotating disc , 1998, Journal of Fluid Mechanics.

[52]  L. Luo,et al.  Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation , 1997 .

[53]  Jae Min Hyun,et al.  Time-Dependent Vortex Breakdown in a Cylinder With a Rotating Lid , 1997 .

[54]  Jens Nørkær Sørensen,et al.  Direct numerical simulation of rotating fluid flow in a closed cylinder , 1995 .

[55]  A. Ladd.  Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results , 1993, Journal of Fluid Mechanics.

[56]  A. Ladd.  Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.

[57]  R. Benzi,et al.  The lattice Boltzmann equation: theory and applications , 1992 .

[58]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[59]  J. Lopez,et al.  Axisymmetric vortex breakdown. Part 3 Onset of periodic flow and chaotic advection , 1992, Journal of Fluid Mechanics.

[60]  R. Benzi,et al.  Turbulence Modelling by Nonhydrodynamic Variables , 1990 .

[61]  Juan Lopez,et al.  Axisymmetric vortex breakdown Part 1. Confined swirling flow , 1990, Journal of Fluid Mechanics.

[62]  Juan Lopez,et al.  Axisymmetric vortex breakdown Part 2. Physical mechanisms , 1990, Journal of Fluid Mechanics.

[63]  M. P. Escudier,et al.  Observations of the flow produced in a cylindrical container by a rotating endwall , 1984 .

[64]  H. Grad.  On the kinetic theory of rarefied gases , 1949 .

[65]  H. Grad.  Note on N‐dimensional hermite polynomials , 1949 .