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Calculate velocity inflow on a 2D surface in 3D |
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May 6, 2009, 21:07 |
Calculate velocity inflow on a 2D surface in 3D
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#1 |
Senior Member
TWB
Join Date: Mar 2009
Posts: 414
Rep Power: 19 |
Hi,
I need to calculate velocity inflow on a 2D surface in 3D. I can vaguely recall but I 'm not too sure. i have the coordinates of the 2D surface and the velocity vector The steps are: 1. using 2 vector on the 2d surface (v1 n v2), calculate its unit cross product vector. this new vector will be perpendicular to the 2d surface 2. do a dot product between the new perpendicular vector and the velocity vector (vel vect). tt 'll give the velocity flowing into the 2D surface. is this correct? tks! |
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May 7, 2009, 09:06 |
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#2 |
Senior Member
Andrew
Join Date: Mar 2009
Location: Washington, DC
Posts: 211
Rep Power: 18 |
isn't this just the curl?
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May 10, 2009, 06:07 |
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#3 |
Senior Member
Rami Ben-Zvi
Join Date: Mar 2009
Posts: 155
Rep Power: 17 |
There is one step missing in the suggested process: The v1 x v2 product will indeed create a normal, but you will then have to normalize it to make it a unit normal. Only then do the scalar (dot) product with the velocity vector to have the normal velocity. The direction of the latter (into or out of the domain) will depend on whether v1 x v2 is directed into the domain or outwards.
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