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

fxzf · October 10, 2013, 19:45

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

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

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

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

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_
http://books.google.com.hk/books?id=...ed=0CDYQ6AEwAQ

October 10, 2013, 19:45	can some one give a quick introduction why we need linear solver in Finite Volume	#1
fxzf Member ff Join Date: Feb 2010 Posts: 81 Rep Power: 16	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
lalupp Member lalupp Join Date: Jul 2010 Location: India Posts: 44 Rep Power: 15	Navier stoke equation is nonlinear pde. But we used to linearize it for the ease of solving it(especially large scale problems)

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October 11, 2013, 04:14		#3
saeed115 New Member saeed Join Date: Feb 2013 Posts: 19 Rep Power: 13	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
AshwaniAssam Senior Member Ashwani Join Date: Sep 2013 Location: Hyderabad Posts: 154 Rep Power: 12	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.