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 fxzf October 10, 2013 19:45

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

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

 lalupp October 11, 2013 02:38

Default can some one give a quick introduction why we need linear solver in Finite V

Navier stoke equation is nonlinear pde. But we used to linearize it for the ease of solving it(especially large scale problems)

 saeed115 October 11, 2013 04:14

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

 AshwaniAssam October 11, 2013 11:58

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.

 fxzf October 11, 2013 17:09

Quote:
 Originally Posted by lalupp (Post 456266) 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.

 fxzf October 11, 2013 17:10

Quote:
 Originally Posted by AshwaniAssam (Post 456395) 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.

 ztdep October 11, 2013 19:38

Quote:
 Originally Posted by fxzf (Post 456441) 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_