Discontinuous Galerkin spectral element lattice Boltzmann method on triangular element

International Journal for Numerical Methods in Fluids

Volumn 42, Issue 11, 2003, Pages 1249-1261

  Shi, Xing ^a   Lin, Jianzhong ^a   Yu, Zhaosheng ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

Discontinuous Galerkin method; Lattice Boltzmann; Spectral element

Indexed keywords

GALERKIN METHODS; GEOMETRY; NUMERICAL METHODS;

TRIANGULAR ELEMENTS;

FLOW OF FLUIDS;

CIRCULAR CYLINDER; FINITE VOLUME TECHNIQUE; FLOW AROUND OBJECT; FLUID FLOW; MATHEMATICAL MODELING;

EID: 0042386446     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.594     Document Type: Article

References (21)

1. Chen S, Doolen GD. Lattice Boltzmann method for fluid flows. Annual Reviews in Fluid Mechanics 1998; 37:329-364.
2. He X, Luo LS, Dembo M. Some progress in lattice Boltzmann method. Part I nonuniform mesh grids. Journal of Computational Physics 1996; 129:357-363.
3. He X, Doolen GD. Lattice Boltzmann Method on curvilinear coordinates system: flow around a circular cylinder. Journal of Computational Physics 1997; 134:306-315.
4. Nannelli F, Succi S. The lattice Boltzmann equation on irregular lattice. Journal of Statistical Physics 1992; 68:401-407.
5. Xi H, Peng G, Chou S. Finite-volume lattice Boltzmann schemes in two and three dimensions. Physical Review E 1999; 60:3380-3388.
6. Filippova O, Hanel D. Grid refinement for lattice-BGK models. Journal of Computational Physics 1998; 147:219-228.
7. Reed WH, Hill TR. Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, 1973.
8. Cockburn B, Hou S, Shu CW. The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case. Mathematics of Computation 1990; 54:545-581.
9. Kirby RM, Wanburton TC, Lomtev I, Karniadakis GE. A discontinuous Galerkin spectral/hp method on hybrid grids. Applied Numerical Mathematics 2000; 33:393-405.
10. Kershaw DS, Prasad MK, Shaw MJ, Milovich JL. 3D unstructured mesh ALE hydrodynamics with the upwind discontinuous finite element method. Computers and Methods in Applied Mechanical Engineering 1998; 158:81-116.
11. Bhatnagar PL, Gross EP, Krook M. A model for collision processes in gases. 1: small amplitude processes in charged and neutral one-component system. Physical Review 1954; 94:511-525.
12. Chen S, Chen H, Martinez D, Matthaeus W. Lattice Boltzmann model for simulation of magnetohydrodynamics. Physical Review Letters 1991; 67:3376-3379.
13. Qian Y, d'Humieres D, Lallemand P. Lattice BGK models for Navier-Stokes equation. Europhysics Letters 1992; 17:479-484.
14. Cao N, Chen S, Jin S, Martinez D. Physical symmetry and lattice symmetry in the lattice Boltzmann method. Physical Review E 1996; 55:R21-R24.
15. Dubiner M. Spectral method on triangles and other domains. Journal of Scientific Computation 1991; 6:345.
16. Sherwin SJ, Karniadakis GE. A triangular spectral element method; application to the incompressible Navier-Stokes equations. Computers and Methods in Applied Mechanical Engineering 1995; 123:189-229.
17. Coutanceau M, Bouard R. Experimental determination of the main features of the viscous flow in the wake of a circular cylinder in uniform translation. Part I. Steady flow. Journal of Fluid Mechanics 1977; 79(2):231-256.
18. Nieuwstadt F, Keller HB. Viscous flow past circular cylinders. Computers and Fluids 1973; 1:59-71.
19. Clift R, Grace JR, Weber ME. Bubbles, Drops, and Particles. Academic Press: New York, 1978.
20. Goldstein S. Modern Development in Fluid Dynamics. Clarendon Press: Oxford, 1938.
21. Braza M, Chassaing P, Ha Minh H. Pressure velocity fields in the wake of a circular cylinder. Journal of Fluid Mechanics 1986; 165:79-130.