Numerical Stabilization Technique
Convection-Dominated Transport Equations
Transport of charge carriers applications can often result in models with a very high cell Péclet number — that is, systems where drift or convection dominates over diffusion. Numerical stabilization techniques are of paramount importance to obtain physically reasonable results. The Electric Discharge Interface provides both Streamline Diffusion stabilization and Isotropic Diffusion stabilization. See more details in Numerical Stabilization in the COMSOL Multiphysics Reference Manual.
Time Stepping
By default, the solver uses an automatic time-stepping method, which is particularly advantageous for long simulations. For certain modeling problems, however, it can be beneficial to restrict the time step using either a constant value or an expression.
In the Electric Discharge interface, a built-in global variable, edis.minDRT, represents the minimal dielectric relaxation time. This variable corresponds to the smallest charge relaxation time among all dielectric domains, calculated as ε/σ. For an example of its usage, refer to the model Positive Streamer Propagation in Transformer Oil in the Electric Discharge Module Application Library.