An extended spectral analysis of the lattice Boltzmann method: modal interactions and stability issues
暂无分享,去创建一个
[1] J. Neumann,et al. Uber merkwürdige diskrete Eigenwerte. Uber das Verhalten von Eigenwerten bei adiabatischen Prozessen , 1929 .
[2] R. D. Richtmyer,et al. A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .
[3] T. G. Cowling,et al. The mathematical theory of non-uniform gases : an account of the kinetic theory of viscosity, thermal conduction, and diffusion in gases , 1954 .
[4] L. Kovasznay. Turbulence in Supersonic Flow , 1953 .
[5] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .
[6] L. Kovasznay,et al. Non-linear interactions in a viscous heat-conducting compressible gas , 1958, Journal of Fluid Mechanics.
[7] L. Boltzmann. Weitere Studien über das Wärmegleichgewicht unter Gasmolekülen , 1970 .
[8] C. D. Mote,et al. Comments on curve veering in eigenvalue problems , 1986 .
[9] Zanetti,et al. Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.
[10] R. Benzi,et al. The lattice Boltzmann equation: theory and applications , 1992 .
[11] Y. Qian,et al. Lattice BGK Models for Navier-Stokes Equation , 1992 .
[12] Shiyi Chen,et al. Stability Analysis of Lattice Boltzmann Methods , 1993, comp-gas/9306001.
[13] B. Shizgal,et al. Generalized Lattice-Boltzmann Equations , 1994 .
[14] Harris,et al. Hydrodynamic behavior of lattice Boltzmann and lattice Bhatnagar-Gross-Krook models. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[15] L. Luo,et al. Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation , 1997 .
[16] R. Worthing,et al. Stability of lattice Boltzmann methods in hydrodynamic regimes , 1997 .
[17] Y. Qian. Fractional Propagation and the Elimination of Staggered Invariants in Lattice-BGK Models , 1997 .
[18] Dominique d'Humières,et al. A lattice Boltzmann model for Jeffreys viscoelastic fluid , 1998 .
[19] Shiyi Chen,et al. LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .
[20] Shiyi Chen,et al. A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit , 1998 .
[21] Li-Shi Luo,et al. Unified Theory of Lattice Boltzmann Models for Nonideal Gases , 1998 .
[22] Iliya V. Karlin,et al. Perfect entropy functions of the Lattice Boltzmann method , 1999 .
[23] M. Y. Hussaini,et al. An Analysis of the Discontinuous Galerkin Method for Wave Propagation Problems , 1999 .
[24] 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.
[25] F. Durst,et al. Numerical analysis of the pressure drop in porous media flow with lattice Boltzmann (BGK) automata , 2000 .
[26] Hudong Chen,et al. H-theorem and origins of instability in thermal lattice Boltzmann models , 2000 .
[27] P. Dellar. Bulk and shear viscosities in lattice Boltzmann equations. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.
[28] P. Dellar. Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.
[29] Mengping Zhang,et al. AN ANALYSIS OF THREE DIFFERENT FORMULATIONS OF THE DISCONTINUOUS GALERKIN METHOD FOR DIFFUSION EQUATIONS , 2003 .
[30] Richard Shock,et al. Numerical study of flow past an impulsively started cylinder by the lattice-Boltzmann method , 2004, Journal of Fluid Mechanics.
[31] J. Chomaz,et al. GLOBAL INSTABILITIES IN SPATIALLY DEVELOPING FLOWS: Non-Normality and Nonlinearity , 2005 .
[32] Bastien Chopard,et al. Lattice Boltzmann method with regularized pre-collision distribution functions , 2006, Math. Comput. Simul..
[33] Raoyang Zhang,et al. Extended volumetric scheme for lattice Boltzmann models. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[34] P. Philippi,et al. From the continuous to the lattice Boltzmann equation: the discretization problem and thermal models. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[35] X. Yuan,et al. Kinetic theory representation of hydrodynamics: a way beyond the Navier–Stokes equation , 2006, Journal of Fluid Mechanics.
[36] P. Philippi,et al. Lattice Boltzmann equation linear stability analysis: thermal and athermal models. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.
[37] P. Sagaut,et al. Homogeneous Turbulence Dynamics , 2008 .
[38] X. Shan,et al. Galilean invariance of lattice Boltzmann models , 2008, 0801.2924.
[39] François Dubois,et al. Equivalent partial differential equations of a lattice Boltzmann scheme , 2008, Comput. Math. Appl..
[40] R. Adhikari,et al. Duality in matrix lattice Boltzmann models. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[41] Hudong Chen,et al. A Lattice-Boltzmann / Finite-Difference Hybrid Simulation of Transonic Flow , 2009 .
[42] Pierre Sagaut,et al. Comparison between lattice Boltzmann method and Navier-Stokes high order schemes for computational aeroacoustics , 2009, J. Comput. Phys..
[43] D. d'Humières,et al. Optimal Stability of Advection-Diffusion Lattice Boltzmann Models with Two Relaxation Times for Positive/Negative Equilibrium , 2010 .
[44] Pierre Sagaut,et al. Optimal low-dispersion low-dissipation LBM schemes for computational aeroacoustics , 2011, J. Comput. Phys..
[45] Gaël Varoquaux,et al. The NumPy Array: A Structure for Efficient Numerical Computation , 2011, Computing in Science & Engineering.
[46] Nicholas A J Lieven,et al. On the Quantification of Eigenvalue Curve Veering: A Veering Index , 2011 .
[47] Zhaoli Guo,et al. Discrete unified gas kinetic scheme for all Knudsen number flows: low-speed isothermal case. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.
[48] Emmanuel Lévêque,et al. Direct and large-eddy simulation of turbulent flows on composite multi-resolution grids by the lattice Boltzmann method , 2014, J. Comput. Phys..
[49] I. Karlin,et al. Gibbs' principle for the lattice-kinetic theory of fluid dynamics. , 2014, Physical review. E, Statistical, nonlinear, and soft matter physics.
[50] O. Malaspinas. Increasing stability and accuracy of the lattice Boltzmann scheme: recursivity and regularization , 2015, 1505.06900.
[51] P. Philippi,et al. Investigation of an entropic stabilizer for the lattice-Boltzmann method. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.
[52] I. Karlin,et al. Entropic lattice Boltzmann model for compressible flows. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.
[53] J. Boussuge,et al. Simulations of LAGOON landing-gear noise using Lattice Boltzmann Solver , 2015 .
[54] Ulrich Rüde,et al. Massively Parallel Algorithms for the Lattice Boltzmann Method on NonUniform Grids , 2015, SIAM J. Sci. Comput..
[55] D. Casalino,et al. Turbofan Broadband Noise Prediction Using the Lattice Boltzmann Method , 2016 .
[56] Jean-François Boussuge,et al. Revisiting the spectral analysis for high-order spectral discontinuous methods , 2017, J. Comput. Phys..
[57] P. Philippi,et al. High-order regularization in lattice-Boltzmann equations , 2017 .
[58] G. Wissocq,et al. Recursive regularization step for high-order lattice Boltzmann methods. , 2017, Physical review. E.
[59] P. Sagaut,et al. A new hybrid recursive regularised Bhatnagar–Gross–Krook collision model for Lattice Boltzmann method-based large eddy simulation , 2018, Journal of Turbulence.
[60] Jizu Huang,et al. A lattice Boltzmann model for multiphase flows with moving contact line and variable density , 2018, J. Comput. Phys..