Record Details

Complete pressure correction algorithm for solution of incompressible Navier-Stokes equations on a nonstaggered grid

DSpace at IIT Bombay

View Archive Info
 
 
Field Value
 
Title Complete pressure correction algorithm for solution of incompressible Navier-Stokes equations on a nonstaggered grid
 
Creator DATE, AW
 
Subject finite-difference scheme
numerical-solution
turbulent-flow
system
 
Description When Navier-Stokes equations for incompressible flow are solved on a nonstaggered grid, Be problem of checkerboard prediction of pressure is encountered. So far, this problem has been cured either by evaluating the cell face velocities by the momentum interpolated principle [1] or by evaluating an effective pressure gradient in the nodal momentum equations [2]. In this article it is shown that not only are these practices unnecessary, they can lead to spurious results when the true pressure variation departs considerably from linearity. What is required instead is afresh derivation of the pressure correction equation appropriate for a nonstaggered grid. The pressure correction determined from this equation comprises two components: a mass-conserving component and a smoothing component. The former corresponds to the pressure correction predicted by a staggered grid procedure, whereas the latter simply accounts for the difference between the point value of the pressure and the cell-averaged value of the pressure. The new pressure correction equation facilitates (in a significant way) computer coding of programs written for three-dimensional geometries employing body-fitted curvilinear coordinate grids.
 
Publisher HEMISPHERE PUBL CORP
 
Date 2011-07-31T06:36:58Z
2011-12-26T12:52:52Z
2011-12-27T05:39:49Z
2011-07-31T06:36:58Z
2011-12-26T12:52:52Z
2011-12-27T05:39:49Z
1996
 
Type Article
 
Identifier NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS, 29(4), 441-458
1040-7790
http://dx.doi.org/10.1080/10407799608914991
http://dspace.library.iitb.ac.in/xmlui/handle/10054/8015
http://hdl.handle.net/10054/8015
 
Language en