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Old   July 25, 2001, 16:00
Default Quadratic Upwind Interpolation
  #1
Frederic Felten
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Hi there,

I am seeking references giving the expression for the coefficients used in the QUICK interpolation scheme for non-orthogonal and non-uniform grids.

Thanks in advance,

Frederic Felten.
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Old   August 1, 2001, 10:09
Default Re: Quadratic Upwind Interpolation
  #2
Romuald
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Hi Frederic,

try the following article:

Darwish et al.; Numerical Heat Transfer B; Vol. 26; 1994; pp79-96;

Good luck and best regards

Romuald
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Old   August 1, 2001, 11:41
Default Re: Quadratic Upwind Interpolation
  #3
Frederic Felten
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thanks for the answer, but i actually derived the quadratic interpolation on paper, and it is very easy to figured out the coefficients. I posted the message without trying to do it myself first. I guess i was just lazy.

Thanks anyway, Sincerely,

Frederic Felten,
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Old   August 1, 2001, 14:15
Default Re: Quadratic Upwind Interpolation
  #4
kalyan
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Frederic,

From you posting here, I got the impression that you are involved in code development for LES and your group is pretty gung-ho about minimizing artificial damping. Why this sudden interest in QUICK which usually leads to some damping. JUst curious.

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Old   August 1, 2001, 20:00
Default Re: Quadratic Upwind Interpolation
  #5
Frederic Felten
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Well, that's a good question. Actually we are trying to understand why some people have used the QUICK scheme in collocated curvilinear geometry when others have just used a second order central difference scheme (CDS).

We realized that when the geometry is simple, like a wavy channel, the second order CDS works fine ,and almost no oscillations are present in the field. ( check Armenio and Piomelli,

Flow, Turbulence and Combustion,

vol 65, pp 51-81, 2000 )

When the geometry becomes a bit more complex, like a polar cavity, or flow in a bended duct (Check Zang et al. , J.Comp. Phys., vol 114, pp 18-33, 1994) a dissipative scheme like QUICK or SHARP is used to smooth out the field and not get just junk from the oscillations.

Actually i'm currently finishing the redaction of a paper that will be presented a the 3rd AFOSRThird AFOSR International Conference on Direct Numerical Simulation and Large Eddy Simulation (http://math.uta.edu/~taicdl/) next week. The paper addresses some of these issues and some better ways of getting ride of the oscillations without using QUICK. If you are interested, i'll send you a copy of this article as soon as the conference is over.

Sincerely,

Frederic Felten.
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