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Function File: [A] = bim1a_axisymmetric_advection_upwind (mesh, beta)

Build the Upwind stabilized stiffness matrix for an advection problem in cylindrical coordinates with axisymmetric configuration.

The equation taken into account is:

1/r * (r * beta u)’ = f

where beta is an element-wise constant.

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_advection_diffusion, bim1a_axisymmetric_rhs, bim1a_axisymmetric_reaction, bim1a_axisymmetric_laplacian.

Package: bim