# Checker-board pressure in 1d?

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 August 27, 2014, 05:14 Checker-board pressure in 1d? #1 Member   Join Date: May 2012 Posts: 97 Rep Power: 5 Hey, Do we have the checker-board problem in 1d. Looking at the problem it seems we would have it, but I am unsure and I have no possibility to write a small test code to check it. All my text books on CFD only describe a 2d case, so if a 1d case is described in a text please point me to it. Best Regards

 August 27, 2014, 08:42 #2 Member   Troy Snyder Join Date: Jul 2009 Posts: 68 Rep Power: 9 Yes, the checkerboard pressure pattern can occur in 1d given the same storage location of pressures and velocities and central-differencing of the pressure gradient.

 August 27, 2014, 10:35 #3 Senior Member   Filippo Maria Denaro Join Date: Jul 2010 Posts: 1,600 Rep Power: 23 yes, it occurs if you discretize d/dx(dp/dx) as ((dp/dx)|i+1 -(dp/dx)|i-1)/2dx = (p(i-2)-2p(i)+p(i+2))4dx^2

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