# can some one give a quick introduction why we need linear solver in Finite Volume

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 October 10, 2013, 19:45 can some one give a quick introduction why we need linear solver in Finite Volume #1 New Member   ff Join Date: Feb 2010 Posts: 16 Rep Power: 9 Hello. I am a fresher for CFD. Can I ask a silly queastion here. Why do we need a linear solver in Finite Volume methods. I am bit confused. Could any one can give me a quick flow chart for finite volume methods? Thanks very much! Cheers

 October 11, 2013, 02:38 Default can some one give a quick introduction why we need linear solver in Finite V #2 Member   lalupp Join Date: Jul 2010 Location: India Posts: 41 Rep Power: 9 Navier stoke equation is nonlinear pde. But we used to linearize it for the ease of solving it(especially large scale problems)

 October 11, 2013, 04:14 #3 New Member   saeed Join Date: Feb 2013 Posts: 19 Rep Power: 6 hi dear.....i think we discrete pde(partial diffrential equation) in finite volume method to have an easy work to solve them and in finite volume method we exchange PDE's to discreted places to solve them easier

 October 11, 2013, 11:58 #4 Senior Member   Ashwani Join Date: Sep 2013 Location: Hyderabad Posts: 111 Rep Power: 6 A non-linear equation does not converge easily in an iterative scheme used to solve the governing equations in CFD. As the coefficients depends now on the solution.

October 11, 2013, 17:09
#5
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ff
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Quote:
 Originally Posted by lalupp Navier stoke equation is nonlinear pde. But we used to linearize it for the ease of solving it(especially large scale problems)
Thanks very much for your reply. Could you recommend me a book which introduce this entire Finite volume process, includes construct flux, convective, diffuse flux, time step, construction gradient, linearization? Thanks very much.

October 11, 2013, 17:10
#6
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ff
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Quote:
 Originally Posted by AshwaniAssam A non-linear equation does not converge easily in an iterative scheme used to solve the governing equations in CFD. As the coefficients depends now on the solution.
Thanks very much for your reply. Could you recommend me a book which introduce this entire Finite volume process, includes construct flux, convective, diffuse flux, time step, construction gradient, linearization? Thanks very much.

October 11, 2013, 19:38
#7
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p ding
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Quote:
 Originally Posted by fxzf Thanks very much for your reply. Could you recommend me a book which introduce this entire Finite volume process, includes construct flux, convective, diffuse flux, time step, construction gradient, linearization? Thanks very much.
An_Introduction_to_Computational_Fluid_Dynamics__T he_Finite_Volume_Method__2nd_Edition_