Incompressible limits of lattice Boltzmann equations using multiple relaxation times

被引：131

作者：

Dellar, PJ ^{[1
]}

机构：

[1] Math Inst, OCIAM, Oxford OX1 3LB, England

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2003年 / 190卷 / 02期

关键词：

D O I：

10.1016/S0021-9991(03)00279-1

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

Lattice Boltzmann equations using multiple relaxation times are intended to be more stable than those using a single relaxation time. The additional relaxation times may be adjusted to suppress non-hydrodynamic modes that do not appear directly in the continuum equations, but may contribute to instabilities on the grid scale. If these relaxation times are fixed in lattice units, as in previous work, solutions computed on a given lattice are found to diverge in the incompressible (small Mach number) limit. This non-existence of an incompressible limit is analysed for an inclined one dimensional jet. An incompressible limit does exist if the non-hydrodynamic relaxation times are not fixed, but scaled by the Mach number in the same way as the hydrodynamic relaxation time that determines the viscosity. (C) 2003 Elsevier Science B.V. All rights reserved.

引用

页码：351 / 370

页数：20

共 35 条

[11] GENERALIZED HYDRODYNAMICS AND DISPERSION-RELATIONS IN LATTICE GASES [J].

DAS, SP ;

BUSSEMAKER, HJ ;

ERNST, MH .

PHYSICAL REVIEW E, 1993, 48 (01) :245-255

[12] Nonhydrodynamic modes and a priori construction of shallow water lattice Boltzmann equations -: art. no. 036309 [J].

Dellar, PJ .

PHYSICAL REVIEW E, 2002, 65 (03) :1-036309

[13] Bulk and shear viscosities in lattice Boltzmann equations [J].

Dellar, PJ .

PHYSICAL REVIEW E, 2001, 64 (03) :11-312031

[14]

DHUMIERES D, 1994, PROGR ASTRONAUT AERO, V159, P450

[15]

Frigo M, 1998, INT CONF ACOUST SPEE, P1381, DOI 10.1109/ICASSP.1998.681704

[16]

Frisch U., 1987, Complex Systems, V1, P649

[17]

Golub G.H., 2013, MATRIX COMPUTATIONS

[18]

GRAD H, 1958, THERMODYNAMIK GASE H, V12, P205

[19] A novel thermal model for the lattice Boltzmann method in incompressible limit [J].

He, X ;

Chen, S ;

Doolen, GD .

JOURNAL OF COMPUTATIONAL PHYSICS, 1998, 146 (01) :282-300

[20] Discrete Boltzmann equation model for nonideal gases [J].

He, XY ;

Shan, XW ;

Doolen, GD .

PHYSICAL REVIEW E, 1998, 57 (01) :R13-R16

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