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July 12, 2019, 09:41 |
non orthogonal 2d grid
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#1 |
New Member
hajo jllon
Join Date: Jun 2019
Posts: 5
Rep Power: 6 |
Hey there
I have a nozzle like the image the vertical grid is called r and the grid along each streamline is called m as a meridional grid I dont know what to do to compute derivative of some parameter along m direcion with backward difference method... i mean what should be the denominator ? |
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July 12, 2019, 16:59 |
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#2 |
Senior Member
Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,777
Rep Power: 71 |
Just consider the transformation from the physical (csi,eta) to the computational domain (x,y). In your case csi=x, you have only to consider the transformation along the vertical direction given by the law eta(csi).
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July 13, 2019, 13:35 |
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#3 |
New Member
hajo jllon
Join Date: Jun 2019
Posts: 5
Rep Power: 6 |
thanks
so you mean say for taking derivative of like function F along each stream line dFdm will be (Fi-F(i-1))/(x(i)-x(i-1) ? |
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July 18, 2019, 16:40 |
Grid
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#4 |
Senior Member
Selig
Join Date: Jul 2016
Posts: 213
Rep Power: 10 |
From my experience with curvilinear grid (albeit still learning), you should calculate the metrics using central schemes. In this case
(F(i+1) - F(I-1))/(2*dx)) |
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