Discretization of FVM 1D particle model, heat transport

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Joakim M
Joakim M 2015-1-5
回答： Torsten 2015-1-6
I'm trying to solve a boundary value problem using an ode solver.
It solves heat transport by conduction in 1 dimension of a spherical particle. The boundary condition in the center a symmetry condition. The boundary condition on the particle surface is given by a heat flux by both convection and conduction (algebraic eqs).
I am having some trouble implementing the boundary conditions. Using FVM all information is stored in the center of a cell, thus giving problems when I need the information on the node. Introducing ghost cells would give similar problems?
Any ideas?

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回答（1 个）

Torsten
Torsten 2015-1-6
I don't understand your problem.
At the center, u_(-1/2)=u_(1/2).
At the outer boundary, (u_(N+1/2)-u_(N-1/2))/deltar is approximately du/dr at r=R.
Best wishes
Torsten.

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