A discrete kinetic approximation for the incompressible Navier-Stokes equations

被引：12

作者：

Carfora, Maria Francesca ^{[1
]}

Natalini, Roberto ^{[2
]}

机构：

[1] CNR, Inst Applicaz Calcolo M Picone, I-80131 Naples, Italy

[2] CNR, Inst Applicaz Calcolo M Picone, I-00161 Rome, Italy

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2008年 / 42卷 / 01期

关键词：

incompressible fluids; kinetic schemes; BGK models; finite difference schemes;

D O I：

10.1051/m2an:2007055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce a new class of numerical schemes for the incompressible Navier-Stokes equations, which are inspired by the theory of discrete kinetic schemes for compressible fluids. For these approximations it is possible to give a stability condition, based on a discrete velocities version of the Boltzmann H-theorem. Numerical tests are performed to investigate their convergence and accuracy.

引用

页码：93 / 112

页数：20

共 28 条

[21]

Perthame B., 2002, OXFORD LECT SERIES M, V21

[22] ACCURACY OF DISCRETE-VELOCITY BGK MODELS FOR THE SIMULATION OF THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS [J].

REIDER, MB ;

STERLING, JD .

COMPUTERS & FLUIDS, 1995, 24 (04) :459-467

[23]

Succi S., 2001, The lattice Boltzmann equation: for fluid dynamics and beyond

[24]

TEMAM R, 1969, ARCH RATION MECH AN, V32, P135

[25]

TEMAM R, 1969, ARCH RATION MECH AN, V33, P377

[26] Error analysis for Chorin's original fully discrete projection method and regularizations in space and time [J].

Wetton, BR .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1997, 34 (05) :1683-1697

[27] Analysis of the spatial error for a class of finite difference methods for viscous incompressible flow [J].

Wetton, BR .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1997, 34 (02) :723-755

[28]

Wolf-Gladrow D. A., 2000, LECT NOTES MATH, V1725

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