A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct

被引：5

作者：

Domenichini, F ^{[1
]}

Baccani, B ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Ingn Civile, I-50139 Florence, Italy

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 200卷 / 01期

关键词：

coordinate system singularity; spectral methods; Navier-Stokes; duct flows;

D O I：

10.1016/j.jcp.2004.04.002

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A pseudospectral formulation of the three-dimensional Navier-Stokes equations in the cylindrical system of coordinates is presented, which automatically includes the regularity conditions at the polar axis for the Fourier harmonics. The mathematical system of equations is numerically implemented using standard methods for spatial discretisation and time advancement. The method presented here for incompressible flows can be easily extended to different set of equations and to different numerical schemes of various levels of accuracy. The formulation is applied to the solution of incompressible three-dimensional entry jets in a circular duct. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：177 / 191

页数：15

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