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Coupling of Electrostatics and Nerst plank equation
Posted Jan 16, 2013, 7:57 PM EST Version 3.5a 1 Reply
I am trying to solve two equations simultaneously as follows
1) Div(Grad (V)) = - rho/eps
2) Div(D*Grad(C) - Z*u_m*F*C*Grad(V)) = 0
where V is voltage ,rho is space charge density, eps is permittivity of the material, D is the diffusion coefficient, C is the concentration of species (mol/m^3), Z is the charge number, u_m is the mobility coefficient and F is Faraday constant.
rho = F*C (C/m^3). I am using the default settings with UMFPACK coupled solver but I am not able to get any thing. The code returns the message "failed to find the solution". I think that the coupling seems to be simple.
Does any one have any experience of this kind ???