Is This the Correct Equation for the Surface Gradient?

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SUMMARY

The equation for the surface gradient is confirmed as \nablasU = \nablaU - n*(n \bullet \nablaU), where \nablaU represents the gradient of the surface and n is the normal unit vector. This formula accurately describes the relationship between the surface gradient and the standard gradient. The discussion validates the equation's correctness without any objections or alternative interpretations.

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Topher925
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Just a really quick sanity check. This equation...

[tex]\nabla[/tex]sU = [tex]\nabla[/tex]U - n*(n [tex]\bullet[/tex] [tex]\nabla[/tex]U)

...the correct equation for the surface gradient given [tex]\nabla[/tex]U is the gradient of the surface and n is the normal unit vector?
 
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Topher925 said:
Just a really quick sanity check. This equation...

[tex]\nabla[/tex]sU = [tex]\nabla[/tex]U - n*(n [tex]\bullet[/tex] [tex]\nabla[/tex]U)

...the correct equation for the surface gradient given [tex]\nabla[/tex]U is the gradient of the surface and n is the normal unit vector?
Looks good to me :approve:
 

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