# High Order B.C. for Finite Difference Method

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

 September 19, 2005, 05:58 High Order B.C. for Finite Difference Method #1 Chandra Guest   Posts: n/a Hello, could anybody tell me how to implement higher order (more the 2nd order) accurate B.C. at a solid wall boundary. I need to appximate velocity components for three ghost cells out of the flow domain. For v = tangential velocity; u = normal velocity, I tried this: v[-1] = -v[1]; v[-2] = v[2]; v[-3] = -v[3]; u[-1] = u[1]; u[-2] = u[2]; u[-3] = u[3]; It is based on the same mass-conservation idea originally suggested by Harlow and Welch in MAC paper for one ghost-cell. Another approach seems to be to get a polynomial based on the values inside the flow-domain and then estimate ghost-cell-values using this polinomial. For one ghost-cell, this approach matches with what is suggested in the above MAC apprach if linear approximation. I think this is not a big deal for personals experienced in CFD. Please suggest me. I tried internet but couldn't get it! Thanks a lot in anticipation! -Chandra

 September 19, 2005, 12:05 Re: High Order B.C. for Finite Difference Method #2 Runge_Kutta Guest   Posts: n/a Chandra, Without spending much time on this, I'd say you should not extrapolate information beyond 1/2 a grid point into a wall or everything will go berserk. At least, in the case of higher-order methods. Stay within the fluid. You can close 4th-order, interior first-deriviatives to third-order and be fine. Higher than that, life gets difficult. You can read about these topics in the following paper and those in the bibliography. Good luck! Ken Mattsson, Boundary Procedures for Summation-by-Parts Operators, Journal of Scientific Computing, v.18 n.1, p.133-153, February 2003

 September 19, 2005, 20:46 Re: High Order B.C. for Finite Difference Method #3 Chandra Guest   Posts: n/a Hey, thanks a lot for the info. I will look into the paper you mentioned!! -Chandra

 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 Ty@flent ANSYS Meshing & Geometry 2 August 29, 2011 16:05 Weili Main CFD Forum 1 August 4, 2006 01:15 Mikhail Main CFD Forum 6 August 5, 2003 10:36 dallybird Main CFD Forum 5 February 17, 2003 23:00 Toshiyuki Arima Main CFD Forum 3 May 29, 2001 11:18

All times are GMT -4. The time now is 21:23.