Simulation of three‐dimensional incompressible flows in generalized curvilinear coordinates using a high‐order compact finite‐difference lattice Boltzmann method
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[1] J. H. Whitelaw,et al. Laminar flow in a square duct of strong curvature , 1977, Journal of Fluid Mechanics.
[2] A. Xu. Finite-difference lattice-Boltzmann methods for binary fluids. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[3] Yong-guang Cheng,et al. Three-Dimensional Simulation of Balloon Dynamics by the Immersed Boundary Method Coupled to the Multiple-Relaxation-Time Lattice Boltzmann Method , 2015 .
[4] Wei Shyy,et al. On the Finite Difference-Based Lattice Boltzmann Method in Curvilinear Coordinates , 1998 .
[5] Kazem Hejranfar,et al. A high‐order compact finite‐difference lattice Boltzmann method for simulation of steady and unsteady incompressible flows , 2014 .
[6] Alexander N Gorban,et al. Maximum Entropy Principle for Lattice Kinetic Equations , 1998 .
[7] Wolfgang Schröder,et al. Lattice Boltzmann Simulations with Locally Refined Meshes , 2011 .
[8] Stuart E. Rogers,et al. Steady and unsteady solutions of the incompressible Navier-Stokes equations , 1991 .
[9] L. Luo,et al. Lattice Boltzmann Model for the Incompressible Navier–Stokes Equation , 1997 .
[10] Kazem Hejranfar,et al. Implementation of a high-order compact finite-difference lattice Boltzmann method in generalized curvilinear coordinates , 2014, J. Comput. Phys..
[11] R. H. Magarvey,et al. TRANSITION RANGES FOR THREE-DIMENSIONAL WAKES , 1961 .
[12] Li Yuan,et al. Comparison of Implicit Multigrid Schemes for Three-Dimensional Incompressible Flows , 2002 .
[13] Martin Geier,et al. Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion part I: Derivation and validation , 2017, J. Comput. Phys..
[14] Martin Geier,et al. The cumulant lattice Boltzmann equation in three dimensions: Theory and validation , 2015, Comput. Math. Appl..
[15] H. R. Pruppacher,et al. A Numerical Study of the Drag on a Sphere at Low and Intermediate Reynolds Numbers , 1970 .
[16] G. P. Ghiroldi,et al. A finite-difference lattice Boltzmann approach for gas microflows , 2013, 1308.0692.
[17] C. Shu,et al. Simulation of three‐dimensional flows over moving objects by an improved immersed boundary–lattice Boltzmann method , 2012 .
[18] Isao Nakamura. Steady wake behind a sphere , 1976 .
[19] J. Korvink,et al. Cascaded digital lattice Boltzmann automata for high Reynolds number flow. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.
[20] S. Taneda. Experimental Investigation of the Wake behind a Sphere at Low Reynolds Numbers , 1956 .
[21] Pierre Sagaut,et al. Lattice Boltzmann method with selective viscosity filter , 2009, J. Comput. Phys..
[22] R. Hirsh,et al. Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique , 1975 .
[23] Kazem Hejranfar,et al. Implementing a high‐order accurate implicit operator scheme for solving steady incompressible viscous flows using artificial compressibility method , 2011 .
[24] Jeffrey L. Young,et al. Practical aspects of higher-order numerical schemes for wave propagation phenomena , 1999 .
[25] V. C. Patel,et al. Flow past a sphere up to a Reynolds number of 300 , 1999, Journal of Fluid Mechanics.
[26] R. M. C. So,et al. Stochastic finite difference lattice Boltzmann method for steady incompressible viscous flows , 2010, J. Comput. Phys..
[27] P. Bhatnagar,et al. A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .
[28] M. Geier,et al. Fourth order Galilean invariance for the lattice Boltzmann method , 2018 .
[29] S. Lele. Compact finite difference schemes with spectral-like resolution , 1992 .
[30] Zhaoli Guo,et al. Finite difference-based lattice Boltzmann simulation of natural convection heat transfer in a horizontal concentric annulus , 2006 .
[31] Miguel R. Visbal,et al. On the use of higher-order finite-difference schemes on curvilinear and deforming meshes , 2002 .
[32] Miguel R. Visbal,et al. Further development of a Navier-Stokes solution procedure based on higher-order formulas , 1999 .
[33] Bastien Chopard,et al. Lattice Boltzmann method with regularized pre-collision distribution functions , 2006, Math. Comput. Simul..
[34] S. Orszag,et al. Direct and Large-Eddy Simulation of the Flow Past a Sphere , 1993 .
[35] Jacques Magnaudet,et al. Accelerated flows past a rigid sphere or a spherical bubble. Part 1. Steady straining flow , 1995, Journal of Fluid Mechanics.
[36] Jaw-Yen Yang,et al. Implicit Weighted ENO Schemes for the Three-Dimensional Incompressible Navier-Stokes Equations , 1998 .
[37] D. Gottlieb,et al. The Stability of Numerical Boundary Treatments for Compact High-Order Finite-Difference Schemes , 1993 .
[38] Luc Mongeau,et al. Numerical Simulations of Flow over a Landing Gear with Noise Reduction Devices using the Lattice-Boltzmann Method , 2013 .
[39] Yoshiaki Kuwata,et al. A D3Q27 multiple-relaxation-time lattice Boltzmann method for turbulent flows , 2015, Comput. Math. Appl..
[40] James D. Sterling,et al. Accuracy of Discrete-Velocity BGK Models for the Simulation of the Incompressible Navier-Stokes Equations , 1993, comp-gas/9307003.
[41] John Abraham,et al. Multiple-relaxation-time lattice-Boltzmann model for multiphase flow , 2005 .
[42] Miguel R. Visbal,et al. High-Order-Accurate Methods for Complex Unsteady Subsonic Flows , 1999 .
[43] Martin Geier,et al. Parametrization of the cumulant lattice Boltzmann method for fourth order accurate diffusion part II: Application to flow around a sphere at drag crisis , 2017, J. Comput. Phys..