# 2D Driven square cavity problem

 Register Blogs Members List Search Today's Posts Mark Forums Read

 February 22, 2004, 13:08 2D Driven square cavity problem #1 rvndr Guest   Posts: n/a Hi I am a beginner and this(2D Driven square cavity problem) is of my first problem that I am solving. I have seen in one paper during computing "Deltax" and "Deltay" grid spacings on a cartesian-aligned square grid, second order central differencing used for interior points and second-order one sided differencing used for boundary points. My question is what is the advantage of using different differencings. In my opinion if we were using uniform grid then grid spacing should be same all over the domain.Am I correct ? If I am wrong then what are the advantages of above differencings ? If there are any books relating this type of problems please refer me.Thanks in advance. rvndr

 February 22, 2004, 17:42 Re: 2D Driven square cavity problem #2 M Guest   Posts: n/a What method do you use? What code or package do you use?

 February 22, 2004, 23:38 Re: 2D Driven square cavity problem #3 rvndr Guest   Posts: n/a oh ! I am sorry, the question is incomplete. I am using vorticity stream function formulation. I am not using any package. I didn't understand what do you mean by "what code ?" I am writing code in C. Thanks for the reply.

 February 23, 2004, 10:27 Re: 2D Driven square cavity problem #4 alex Guest   Posts: n/a As Re increases, you want to pack your mesh close to the moving boundary as finer mesh is required to resolve the gradients. It's more expensive computationally to use uniform mesh in this case, not really a big deal in 2d, but logically significant in the real world.

 February 23, 2004, 15:16 Re: 2D Driven square cavity problem #5 reni Guest   Posts: n/a For the classic 2D driven cavity problem, you should probably refer the paper, by Ghia et al. " High-Re solutions for Incompressible Flow using the Navier-Stokes equations and a multigrid method", J. of Comp. Physics, 48,387-411 (1982). As to using a different scheme at the boundaries, Eg. Central difference requires requires i+1 and i-1 points for solving du/dx. In that case you do not have i-1 at the boundary. Hence you use one sided differencing. An alternative is using a ghost cell method. Also Refer Computational Fluid mechanics and Heat Transfer by Tannehill, might be helpful

 February 24, 2004, 12:00 Re: 2D Driven square cavity problem #6 rvndr Guest   Posts: n/a Thanks reni ! could you give me the link to download that paper. I tried a lot but able to get only abstract of that paper.That will be a great help to me.Once more thanks in advance rvndr

 February 25, 2004, 11:35 Re: 2D Driven square cavity problem #7 reni Guest   Posts: n/a sorry the paper is available with the journal, so you would have to get it from a library or somewhere else.

 Thread Tools Display Modes Linear Mode

 Posting Rules You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is OffTrackbacks are On Pingbacks are On Refbacks are On Forum Rules

 Similar Threads Thread Thread Starter Forum Replies Last Post illuminati5288 Main CFD Forum 0 August 12, 2011 22:05 palgroth Main CFD Forum 0 May 1, 2011 14:21 arou FLUENT 2 September 22, 2010 08:26 debiao Main CFD Forum 2 January 11, 2006 14:14 Azfarizal b Mukhtar CFX 0 July 27, 2004 21:22

All times are GMT -4. The time now is 20:17.