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

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