EXPONENTIAL COMPACT HIGHER ORDER SCHEME FOR STEADY INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：3

作者：

Mishra, Nachiketa ^{[1
]}

Sanyasiraju, Y. V. S. S. ^{[1
]}

机构：

[1] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India

来源：

ENGINEERING APPLICATIONS OF COMPUTATIONAL FLUID MECHANICS | 2012年 / 6卷 / 04期

关键词：

Navier-Stokes equations; ECHO; stream function; vorticity; high Reynolds number; FINITE-DIFFERENCE SCHEMES; CONVECTION; FORMULATION; SIMULATION; ACCURACY; FLOW;

D O I：

10.1080/19942060.2012.11015441

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

An Exponential Compact Higher Order (ECHO) scheme is developed for the stream function vorticity form of steady viscous incompressible Navier-Stokes equations. The coupled equations are solved using an iterative procedure. The developed scheme has been validated initially using two model problems with known analytic solutions and demonstrated the fourth order rate of convergence and about fifth order for highly convection dominated problems. Thus the developed scheme requires smaller number of grid points for the computation. Finally the tested code is used to simulate the lid-driven square cavity flow up to Reynolds number 10,000.

引用

页码：541 / 555

页数：15

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