Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices
暂无分享,去创建一个
[1] Akiyama,et al. Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviations in macrodynamic equations. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[2] Gábor Házi,et al. Direct numerical and large eddy simulation of longitudinal flow along triangular array of rods using the lattice Boltzmann method , 2006, Math. Comput. Simul..
[3] Yassin A. Hassan,et al. The effect of lattice models within the lattice Boltzmann method in the simulation of wall-bounded turbulent flows , 2013, J. Comput. Phys..
[4] Yeomans,et al. Lattice Boltzmann simulation of nonideal fluids. , 1995, Physical review letters.
[5] Gábor Házi,et al. Simulation of two-dimensional decaying turbulence using the >incompressible> extensions of the lattice Boltzmann method , 2006 .
[6] Peter M. A. Sloot,et al. Implementation aspects of 3d lattice-bgk: Boundaries, accuracy and a new fast relaxation method , 1999 .
[7] R. Benzi,et al. Lattice Gas Dynamics with Enhanced Collisions , 1989 .
[8] D. d'Humières,et al. Multiple–relaxation–time lattice Boltzmann models in three dimensions , 2002, Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.
[9] Paul J. Dellar,et al. An interpretation and derivation of the lattice Boltzmann method using Strang splitting , 2013, Comput. Math. Appl..
[10] G. Taylor,et al. Mechanism of the production of small eddies from large ones , 1937 .
[11] X. Yuan,et al. Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation , 2006, Journal of Fluid Mechanics.
[12] A. Ladd,et al. Interpolated boundary condition for lattice Boltzmann simulations of flows in narrow gaps. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] Matthaeus,et al. Lattice Boltzmann model for simulation of magnetohydrodynamics. , 1991, Physical review letters.
[14] L. Luo,et al. Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation , 1997 .
[15] D. Patil,et al. Higher-order Galilean-invariant lattice Boltzmann model for microflows: single-component gas. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[16] G. Strang. On the Construction and Comparison of Difference Schemes , 1968 .
[17] A. Chorin. A Numerical Method for Solving Incompressible Viscous Flow Problems , 1997 .
[18] A. Wagner,et al. Phase Separation under Shear in Two-dimensional Binary Fluids , 1999, cond-mat/9904033.
[19] Paul J. Dellar,et al. Incompressible limits of lattice Boltzmann equations using multiple relaxation times , 2003 .
[20] B. Shizgal,et al. Generalized Lattice-Boltzmann Equations , 1994 .
[21] L. Luo,et al. Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation , 1997 .
[22] R. H. Fowler. The Mathematical Theory of Non-Uniform Gases , 1939, Nature.
[23] Shiyi Chen,et al. A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit , 1998 .
[24] A. Wagner,et al. Investigation of Galilean invariance of multi-phase lattice Boltzmann methods , 2004, cond-mat/0410555.
[25] P. Dellar. Bulk and shear viscosities in lattice Boltzmann equations. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[26] Linda Vahala,et al. Entropic lattice Boltzmann representations required to recover Navier-Stokes flows. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[27] Y. Qian,et al. Complete Galilean-invariant lattice BGK models for the Navier-Stokes equation , 1998 .
[28] Jean-Pierre Boon,et al. Nonlinear reactions advected by a flow , 1996 .
[29] I. Karlin,et al. Entropy and Galilean invariance of lattice Boltzmann theories. , 2006, Physical review letters.
[30] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .
[31] A. Ladd. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation , 1993, Journal of Fluid Mechanics.
[32] Takaji Inamuro,et al. A Galilean Invariant Model of the Lattice Boltzmann Method for Multiphase Fluid Flows Using Free-Energy Approach , 2000 .
[33] Wei Shyy,et al. Lattice Boltzmann Method for 3-D Flows with Curved Boundary , 2000 .
[34] Bernie D. Shizgal,et al. Rarefied Gas Dynamics: Theory and Simulations , 1994 .
[35] Y. Qian,et al. Lattice BGK Models for Navier-Stokes Equation , 1992 .
[36] Peter M. A. Sloot,et al. Implementation Aspects of 3D Lattice-BGK: Boundaries, Accuracy, and a New Fast Relaxation Method , 1999 .
[37] M. Minion,et al. Performance of Under-resolved Two-Dimensional Incompressible Flow , 1995 .
[38] S. Orszag,et al. Lattice BGK Models for the Navier-Stokes Equation: Nonlinear Deviation in Compressible Regimes , 1993 .
[39] Steven G. Johnson,et al. The Design and Implementation of FFTW3 , 2005, Proceedings of the IEEE.
[40] M. Krafczyk,et al. Turbulent jet computations based on MRT and Cascaded Lattice Boltzmann models , 2012, Comput. Math. Appl..
[41] Dimitrios V. Rovas,et al. An Improved Hydrodynamics Formulation for Multiphase Flow Lattice-Boltzmann Models , 1998 .
[42] P. Lallemand,et al. Theory of the lattice boltzmann method: dispersion, dissipation, isotropy, galilean invariance, and stability , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[43] J. Koelman,et al. A Simple Lattice Boltzmann Scheme for Navier-Stokes Fluid Flow , 1991 .
[44] Axel Klar,et al. Discretizations for the Incompressible Navier-Stokes Equations Based on the Lattice Boltzmann Method , 2000, SIAM J. Sci. Comput..
[45] Harold Grad,et al. Asymptotic Theory of the Boltzmann Equation , 1963 .
[46] P. Dellar. Lattice Boltzmann formulation for Braginskii magnetohydrodynamics , 2011 .
[47] Steven A. Orszag,et al. Numerical Simulation of the Taylor-Green Vortex , 1973, Computing Methods in Applied Sciences and Engineering.
[48] C. K. Chong,et al. Rotational invariance in the three-dimensional lattice Boltzmann method is dependent on the choice of lattice , 2011, J. Comput. Phys..
[49] P. Dellar. Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[50] X. Shan,et al. Galilean invariance of lattice Boltzmann models , 2008, 0801.2924.
[51] Gábor Házi,et al. On the cubic velocity deviations in lattice Boltzmann methods , 2006 .
[52] D. d'Humières,et al. Thirteen-velocity three-dimensional lattice Boltzmann model. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[53] C. Cercignani. The Boltzmann equation and its applications , 1988 .