# Quadratic Upwind Interpolation

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 July 25, 2001, 16:00 Quadratic Upwind Interpolation #1 Frederic Felten Guest   Posts: n/a 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.

 August 1, 2001, 10:09 Re: Quadratic Upwind Interpolation #2 Romuald Guest   Posts: n/a Hi Frederic, try the following article: Darwish et al.; Numerical Heat Transfer B; Vol. 26; 1994; pp79-96; Good luck and best regards Romuald

 August 1, 2001, 11:41 Re: Quadratic Upwind Interpolation #3 Frederic Felten Guest   Posts: n/a 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,

 August 1, 2001, 14:15 Re: Quadratic Upwind Interpolation #4 kalyan Guest   Posts: n/a 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.

 August 1, 2001, 20:00 Re: Quadratic Upwind Interpolation #5 Frederic Felten Guest   Posts: n/a 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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