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August 27, 2014, 05:14
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Checker-board pressure in 1d?
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#1 |
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Senior Member
Join Date: May 2012
Posts: 546
Rep Power: 15  |
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 |
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August 27, 2014, 08:42
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#2 |
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Senior Member
Troy Snyder
Join Date: Jul 2009
Location: Akron, OH
Posts: 219
Rep Power: 18 |
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.
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August 27, 2014, 10:35
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#3 |
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Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,764
Rep Power: 71 |
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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