Questions tagged [axisymmetric]
Problems with axial (radial) symmetry that arise in cylindrical geometries (can also be hollow).
3
questions
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votes
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answer
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FEM for a biphasic drying problem
I have the following PDE originating from a biphasic drying model, where $\xi \in [0,\Xi]$ is a radial coordinate attached to the dry skeleton of a wet cylindrical body:
$$
\frac{\partial u}{\partial ...
- 544
6
votes
1
answer
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Numerical artefacts in solution of spherical heat equation using FDM
I was attempting to solve the diffusion equation for a solid sphere using a naive FDM scheme. The governing PDE for the scalar concentration field $u(r,t)$ is
$$
u_t = r^{-2}(r^2 \alpha u_r)_r, \quad ...
- 544
2
votes
1
answer
112
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Objective function for PDE-constrained boundary control problem in cylindrical coordinates
I'm interested in solving a boundary control problem for an axisymmetric diffusion problem where diffusive fluxes only appear radially. The corresponding problem for a uni-dimensional slab can be ...
- 544