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Old   May 31, 2007, 05:38
Default Non dimensional code
  #1
Giorgos
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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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Old   May 31, 2007, 06:46
Default Re: Non dimensional code
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Markus Lummer
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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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Old   May 31, 2007, 08:09
Default Re: Non dimensional code
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Giorgos
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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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Old   May 31, 2007, 10:20
Default Re: Non dimensional code
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Harish
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Computational Fluid mechanics and heat transfer - Anderson et. al
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Old   June 1, 2007, 02:04
Default Re: Non dimensional code
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Shyam
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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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Old   June 7, 2007, 02:11
Default Re: Non dimensional code
  #6
p
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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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