Hello,
I try to model the corona discharge in wire-cylinder geometry governed by the equations:
nabla (V) =- rho/epsilon0 (Poisson equation) and
grad (rho) * grad (V) = rho ^ 2/epsilon0 (equation of current continuity)
with boundary conditions:
V_w = V0 (on the wire)
V_cyl = 0 (on the cylinder)
As rho is unknown, I should compile until the electric field on the wire is equal to a given value Es.
knowing that I can give an initial estimate for rho on the wire --> rho_w.
My problem is I dont know how to solve these two coupled equations.
I try to model the corona discharge in wire-cylinder geometry governed by the equations:
nabla (V) =- rho/epsilon0 (Poisson equation) and
grad (rho) * grad (V) = rho ^ 2/epsilon0 (equation of current continuity)
with boundary conditions:
V_w = V0 (on the wire)
V_cyl = 0 (on the cylinder)
As rho is unknown, I should compile until the electric field on the wire is equal to a given value Es.
knowing that I can give an initial estimate for rho on the wire --> rho_w.
My problem is I dont know how to solve these two coupled equations.