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January 18, 2015, 06:53 |
QUICK scheme
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#1 |
New Member
Join Date: Jan 2015
Posts: 3
Rep Power: 11 |
Hi
Can anyone write the QUICK scheme for TWO-dimensional space? The Versteeg's book describe it for 1D. Regards |
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January 18, 2015, 09:07 |
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#2 |
Senior Member
Michael Prinkey
Join Date: Mar 2009
Location: Pittsburgh PA
Posts: 363
Rep Power: 25 |
QUICK is applied to tensor product grids, so the 1D formulation is just applied to each coordinate direction independently. East, West, EastOfEast, WestOfWest, etc. just become North, South, NorthOfNorth, SouthOfSouth when interpolating to the top and bottom cell faces. The same goes for 3D applications.
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January 18, 2015, 11:39 |
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#3 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,781
Rep Power: 71 |
well, that is not enterly correct...Leonard proposed a fully multidimensional implementation using suitable upwinded flow regions for the quadratic interpolation.
You can find details in: B. P. Leonard. Elliptic systems: Finite-difference method IV. In W. J. Minkowycz, E. M. Sparrow, G. E. Schneider, and R. H. Pletcher, editors, Handbook of Numerical Heat Transfer, pages 347–378. Wiley, New York, 1988. If you are interested, I worked too on this task in some papers http://www.researchgate.net/publicat...ical_procedure http://www.researchgate.net/publicat...ical_procedure http://www.researchgate.net/publicat...mulation_codes |
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January 18, 2015, 19:59 |
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#4 |
Senior Member
Michael Prinkey
Join Date: Mar 2009
Location: Pittsburgh PA
Posts: 363
Rep Power: 25 |
Thanks. I've not seen that before.
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