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May 31, 2007, 06:38 |
Non dimensional code
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#1 |
Guest
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Hello everybody.
I am writting a code for the solution of the Euler equations. Does anybody know how can I non-dimensionalise the Euler equations? (or a book describing the method) I think there are two ways. The first is to non-domensionalise the equations and the other is to non-dimensionalise the initial conditions. Thanks for the help |
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May 31, 2007, 07:46 |
Re: Non dimensional code
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#2 |
Guest
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Hello Giorgos,
you have to non-dimesionalize both, the Euler equations as well as the initial conditions. In the simplest case, you need a reference length, a reference velocity and a reference density. Regards, Markus |
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May 31, 2007, 09:09 |
Re: Non dimensional code
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#3 |
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Markus, thanks for the reply.
Do you have in mind any paper or book that explains the methodology. It is very important for me to understand in details the whole proccess |
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May 31, 2007, 11:20 |
Re: Non dimensional code
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#4 |
Guest
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Computational Fluid mechanics and heat transfer - Anderson et. al
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June 1, 2007, 03:04 |
Re: Non dimensional code
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#5 |
Guest
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Hi,
The Euler code can be used as such in a non dimensionalization form. You can see many reference solutions with u=1, Rho = 1, P=1 etc. The key factor would be the ratio of specific heat. The key factor, as mentioned by one member, is the boundary condition. See to that you adhere to the non-dimensionalized BCs and the reference scales. The rest will fall in place. For example, ambient pressure can be 1, inlet velocity 1 etc. Example: Reference solutions for forward facing step at Mach 3. Regards, Shyam |
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June 7, 2007, 03:11 |
Re: Non dimensional code
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#6 |
Guest
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Bird, Stewart, Lightfoot - "Transport Phenomena". towards the end of each section (Momentum/Energy/Mass Transfer), there is a kind of chapter on 'dimensional analysis of the equation of change'.
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