# linearizing euler equation

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 June 22, 2004, 13:34 linearizing euler equation #1 kalyan Guest   Posts: n/a Dear friends , I just entered into the concepts of CFD . I would like to know : Is there any method to linearize a nonlinear euler equation in conservative form (no source terms )? If so please provide me with an Example so as to implement the finite difference technique .

 June 22, 2004, 23:44 Re: linearizing euler equation #2 Praveen Guest   Posts: n/a It is a good excercise to carry out the calculations yourself. It is really simple. Write every quantity u as u = U + u' where U is a constant function. Plug this into the equations and neglect all terms which are of order O(u'*u') and above. The remaining terms will be linear in u' and its derivatives.

 June 23, 2004, 08:59 Re: linearizing euler equation #3 Apurva Guest   Posts: n/a Hi Refer this two papers by Mike Giles: D.R. Lindquist and M.B. Giles. `Validity of linearized unsteady Euler equations with shock capturing'. AIAA Journal, 32(1):46-53, 1994 M.S. Campobasso and M.B. Giles. `Stabilization of a linearized Navier-Stokes solver for turbomachinery aeroelasticity' in Computational Fluid Dynamics 2002. Springer-Verlag, 2003 You can get the copy of second paper from : http://web.comlab.ox.ac.uk/oucl/work.../journals.html Hope it helps Good Luck Apurva

 June 23, 2004, 14:43 Re: linearizing euler equation #4 kalyan Guest   Posts: n/a thanks for the suggestions praveen & apurva .

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