# Filtered navier stokes equation..LES::

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 March 14, 2007, 06:01 Filtered navier stokes equation..LES:: #1 Palani Velladurai Guest   Posts: n/a hI ! FOR Large eddy simulation´,,,I have seen that , we r usin filtered navier stokes equation..Is the same one like Avaraged Navier stokes....or ???? reply me

 March 14, 2007, 06:21 Re: Filtered navier stokes equation..LES:: #2 john deas Guest   Posts: n/a Reynolds equations are time-averaged NS while LES are spatially filtered NS.

 March 14, 2007, 08:03 Filtered navier stokes equation..LES::once again #3 Palani Velladurai Guest   Posts: n/a hello !!! In Rynolds averaged navier stokes equation..... we are having variables for example ...(Velicoty) v = V(Time averaged) + v'( Fluctutating term) this V (time averaged) values are obtained by takin average of all the values over time.... Similarly for Filtered equations we are applying spatial filters..... what s the mathtematical idea behind that one???

 March 14, 2007, 09:16 Re: Filtered navier stokes equation..LES::once aga #4 john deas Guest   Posts: n/a http://en.wikipedia.org/wiki/Large_eddy_simulation I guess you average the velocity on each computational cell and that leads you to introduce a new term. For Reynolds-averaged NS your new term will be Reynolds stress, and for LES it will be eddy viscosity. Then you will link this eddy viscosity to the averaged velocity components in some new equation. OK... as you can read I can not go much more beyond this basic description of LES, sorry.

 December 1, 2010, 05:47 #5 New Member   tushar Join Date: Aug 2010 Posts: 9 Rep Power: 8 I m also trying to understand same problem.. i guessed smthing like below filtering on u = u(filtered) but filtering on u*u != u(filtered)*u(filtered) i dont know whether it is right or wrong.. comments please

 September 15, 2011, 12:52 Reylnolds averaging #6 New Member   Asya Skal Join Date: Sep 2011 Posts: 5 Rep Power: 7 Hello I have solved NS equation in serial of six papers by spatial averaging enstead of velosity, as did Reynolds. Read my first one in Journal of Engineering and Technology Research; June 2011; 3(6) www.academicjournals.org/jetr/contents/2011cont/Jun.htm - Cached You +1'd this publicly. Undo Asya S. Skal. Does a physically reasonable solution of the Navier Stokes equations. exist? [Abstract] [Full Text] [Full Article - PDF] pp. 168-170 ...

 September 15, 2011, 18:07 #7 Senior Member   cfdnewbie Join Date: Mar 2010 Posts: 557 Rep Power: 12 I must admit I have a hard time understanding why this paper was accepted... I have never heard of this journal as well.... Am I just being ignorant, or is this fishy? I think digging up old threads to plug one's papers is not the most helpful approach either.. nikola_m likes this.

 September 6, 2013, 02:51 Filtered navier stokes equation..LES and Stress #8 New Member   Sopan Join Date: Jul 2013 Posts: 1 Rep Power: 0 After filtering out N-S equation, we get the filtered velocity () and filtered residual velocity (). Well, if we consider the filtered fluid motion; an instantaneous velocity (u) consists of filtered velocity ( + ). In Reynolds averaging; if we take average of mean velocity and perturbation velocity(u') we get = and = 0. But if we take Reynolds averaging of () we get () () also 0, that is filtered residual velocity is not equal to zero. Also, does not represent the mean motion, but rather the sum of the mean motion plus the large scales in the turbulence.

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