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[Getfem-users] Assembly of 1D Poiseuille term

From: Domenico Notaro
Subject: [Getfem-users] Assembly of 1D Poiseuille term
Date: Sun, 26 Jul 2015 17:30:42 +0000

Dear Users,

I am studying a coupled 3D-1D problem, for the sake of simplicity let's imagine a straight line immersed in a box.

I am wondering how to assemble the matrix corresponding to the weak formulation of the Poiseuille term in the 1D problem, -(p, du/ds), being p the pressure of the fluid inside the segment, u the velocity and s the arc length along the segment. I have to idea how to write the derivative inside the generic_assembly since the only way I know to compute derivate is "Gradient(#..)" that is a vector. 

Do I need to project the gradient along the direction of the segment? If this is the case, I don't know how to compute the tangent versor.

Thank you in advance.



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