# a simple differential operation question

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 December 16, 2009, 10:14 a simple differential operation question #1 Senior Member   Pei-Ying Hsieh Join Date: Mar 2009 Posts: 272 Rep Power: 9 Dear CFD experts, Can someone post websites that shows differential operations in cartesian/cylindrical coordinates? What I am looking for specifcally is grad(H^2), where H is a vector field. Thanks! phsieh

 December 17, 2009, 12:52 #2 Senior Member   Join Date: Nov 2009 Posts: 411 Rep Power: 10 Any classical Fluid Mechanics book should have the expression for gradient, divergence and rotor in cartesian, cylindrical and spherical coordinates. Check for example the book of White - Fluid Mechanics Do

 December 20, 2009, 13:27 del differential operator #3 Senior Member   Pei-Ying Hsieh Join Date: Mar 2009 Posts: 272 Rep Power: 9 Hi, Thanks for the reply! I do not have White handy. But, could not find what I am looking for in other Fluid Mechanics textbooks or internet. Actually, what I am actually looking for is: del (H^2), where H is a vector field and del is nabla. How do I write out the differential operation in Cartesian Coordinates? Can someone help? phsieh2005

 December 20, 2009, 23:44 #4 Senior Member   Join Date: Nov 2009 Posts: 411 Rep Power: 10 Or ... you can try Google (it generally works): http://en.wikipedia.org/wiki/Del_in_...al_coordinates Here you have all your operators gradient, rotor and divergence in Cartesian, Cylindrical and Spherical coordinates.

 December 20, 2009, 23:53 Gradient rule #5 Senior Member   Join Date: Nov 2009 Posts: 411 Rep Power: 10 Probably what you are looking for is: fg=fg + gf where you will use f=v and g=v.

 December 21, 2009, 08:36 #6 Senior Member   Pei-Ying Hsieh Join Date: Mar 2009 Posts: 272 Rep Power: 9 Hi, DoHander, Thanks! phsieh2005

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