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C++ API

Function File: [A] = bim1a_axisymmetric_advection_diffusion(mesh,alpha,gamma,eta,beta)

Build the Scharfetter-Gummel stabilized stiffness matrix for a diffusion-advection problem in cylindrical coordinates with axisymmetric configuration. Rotational symmetry is assumed with respect to be the vertical axis r=0. Only grids that DO NOT contain r=0 are admissible. 

   |   |-------|   OK       |-------|   |   OK        |--|-----|   NO!
  r=0                                  r=0              r=0

The equation taken into account is:

- 1/r * d/dr (alpha * gamma (eta du/dr - beta u)) = f

where alpha is an element-wise constant scalar function, eta and gamma are piecewise linear conforming scalar functions, beta is an element-wise constant vector function.

Instead of passing the vector field beta directly one can pass a piecewise linear conforming scalar function phi as the last input. In such case beta = grad phi is assumed.

If phi is a single scalar value beta is assumed to be 0 in the whole domain.

See also: bim1a_axisymmetric_rhs, bim1a_axisymmetric_reaction, bim1a_axisymmetric_laplacian, bim2a_axisymmetric_advection_diffusion.

Package: bim