CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > General Forums > Main CFD Forum

ONLINE: literature on IMPLICIT FINITE DIFFERENCE METHODS

Register Blogs Community New Posts Updated Threads Search

Reply
 
LinkBack Thread Tools Search this Thread Display Modes
Old   July 27, 1999, 09:46
Default ONLINE: literature on IMPLICIT FINITE DIFFERENCE METHODS
  #1
Yogesh Talekar
Guest
 
Posts: n/a
Can anybody tell me where can i get some ONLINE papers or Literature for Implicit Finite Difference Methods?
  Reply With Quote

Old   July 27, 1999, 15:25
Default ONLINE: Numerical Recipes
  #2
Patrick Godon
Guest
 
Posts: n/a
Hi There,

Try the book Numerical Recipes. There should there everything you wanted to know about .. what you wanted to know and what you did not want.

The book is available for free online (but the softwares they have are not):

<LI> http://cfata2.harvard.edu/numerical-recipes/

Good Luck!

Patrick
  Reply With Quote

Old   July 27, 1999, 15:41
Default ONLINE: Numerical Recipes - try this link
  #3
Patrick Godon
Guest
 
Posts: n/a
You might want to try this link rather than the previous one:

here (http://www.std.com/nr/index.html) or there (http://www.std.com/nr/nronline_switcher.html) .

The previous link seems to have some problems.

Patrick
  Reply With Quote

Old   July 28, 1999, 10:54
Default More details
  #4
Patrick Godon
Guest
 
Posts: n/a
Hi Yogesh,

Look at chapter 5 section 7 (5.7 in Numerical Recipes), there there is a treatment of numerical derivatives. It is basically the finite difference approach to approximate a derivative using difference (based on simple Taylors series expansions).

In Chapter 19, implicit methods are reviewed like simple relaxation and even multigrid.

It is true that not everything is written and the reader is left with something to do.

First write down the equations you have to solve. Chose (for example) the Crank-Nicholson scheme for the time dependence (19.2-19.3 in the book). Then write the equations in difference forms (where the derivatives are expressed as differences). Then use a given method to solve the difference equations (you can use for example either direct matrix inversion, or a simple relaxation scheme or even a more advance multigrid method - also chapter 19).

If this is your first time with CFD and finite difference and implicit methods, then you might want to get some basic help from a colleague. Numerical Recipes is a good book to build and write your code and it is a very good starting point. And that's the only one I know online.

Let me know if chapter 5 and 19 help.

Cheers, Patrick.
  Reply With Quote

Reply


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 Off
Trackbacks are Off
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
OpenFOAM, Courant number and implicit methods fsaltara OpenFOAM 8 December 28, 2012 05:16
Face-oriented variable arrangement in finite volume methods Sepidar Main CFD Forum 0 September 13, 2011 02:08
Finite Difference Vs. Finite Volume elankov Main CFD Forum 43 December 18, 2010 17:30
Finite volume method vs finite difference method? superfool Main CFD Forum 4 October 21, 2006 15:37
finite element vs. finite difference Zoltan Turzo Main CFD Forum 2 February 20, 1999 08:42


All times are GMT -4. The time now is 23:52.