A nodal discontinuous Galerkin lattice Boltzmann method for fluid flow problems

[1]  I. Babuska,et al.  Finite Element Analysis , 2021 .

[2]  Dhiraj V. Patil,et al.  Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh , 2009, J. Comput. Phys..

[3]  Manfred Krafczyk,et al.  An upwind discretization scheme for the finite volume lattice Boltzmann method , 2006 .

[4]  Ernst Rank,et al.  High‐order finite elements applied to the discrete Boltzmann equation , 2006 .

[5]  André Bardow,et al.  General characteristic-based algorithm for off-lattice Boltzmann simulations , 2006 .

[6]  E. LeBoeuf,et al.  Least-squares finite-element scheme for the lattice Boltzmann method on an unstructured mesh. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Jianzhong Lin,et al.  Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element , 2003 .

[8]  S. Succi,et al.  Lattice Boltzmann method on unstructured grids: further developments. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Taehun Lee,et al.  An Eulerian description of the streaming process in the lattice Boltzmann equation , 2003 .

[10]  Victor Sofonea,et al.  Viscosity of finite difference lattice Boltzmann models , 2003 .

[11]  Shiyi Chen,et al.  LATTICE BOLTZMANN METHOD FOR FLUID FLOWS , 2001 .

[12]  Taehun Lee,et al.  A characteristic Galerkin method for discrete Boltzmann equation , 2001 .

[13]  S. Chou,et al.  Finite-volume lattice Boltzmann method. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[14]  Shiyi Chen,et al.  A Novel Thermal Model for the Lattice Boltzmann Method in Incompressible Limit , 1998 .

[15]  Wei Shyy,et al.  On the Finite Difference-Based Lattice Boltzmann Method in Curvilinear Coordinates , 1998 .

[16]  L. Luo,et al.  Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation , 1997 .

[17]  Li-Shi Luo,et al.  Some Progress in Lattice Boltzmann Method. Part I. Nonuniform Mesh Grids , 1996 .

[18]  Alejandro L. Garcia,et al.  Stabilization of thermal lattice Boltzmann models , 1995 .

[19]  Shiyi Chen,et al.  Simulation of Cavity Flow by the Lattice Boltzmann Method , 1994, comp-gas/9401003.

[20]  Shiyi Chen,et al.  Stability Analysis of Lattice Boltzmann Methods , 1993, comp-gas/9306001.

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

[22]  Moshe Dubiner.  Spectral methods on triangles and other domains , 1991 .

[23]  Zanetti,et al.  Use of the Boltzmann equation to simulate lattice gas automata. , 1988, Physical review letters.

[24]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[25]  P. Bhatnagar,et al.  A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems , 1954 .

[26]  Taehun Lee,et al.  A spectral-element discontinuous Galerkin lattice Boltzmann method for nearly incompressible flows , 2011, J. Comput. Phys..

[27]  Shi Jin,et al.  Physical symmetry and lattice symmetry in the lattice Boltzmann method , 1997 .