The Electric Discharge Module Physics Interface Guide
Each COMSOL Multiphysics physics interface (for example, the Electric Discharge interface or the Arc Discharge interface) expresses the relevant physical phenomena in the form of sets of partial or ordinary differential equations, together with appropriate boundary and initial conditions. Each feature added to the physics interface represents a term or condition in the underlying equation set. These features are usually associated with a geometric entity within the model, such as a domain, boundary, edge, or point. 
Figure 1 uses the application library example Negative Surface Discharge at Gas–Solid Interface to show the Model Builder tree structure and the Settings window for the selected Gas 1 feature node. This node adds electrostatics and charge transport equations to the simulation within the domains selected. In the Transport Properties section, the Settings window indicates that the electron mobility and ion mobility are inherited from the material properties assigned to the domain. The material properties can be set up as functions of other dependent variables in the model, for example, the temperature and gas pressure. The Solid 1 feature is also added to model solid dielectrics. Charge transport dynamics at the Gas–Solid interface is modeled with the built-in boundary features.
The Electric Discharge interface is the starting point for most simulations. The Electric Discharge Module also includes physics interfaces to enable modeling of different physical situations encountered in electric discharges. When a new model is started, these physics interfaces are selected from the Model Wizard.
Figure 2 shows the physics interfaces included with the Electric Discharge Module. Some physics interfaces such as the Electrostatics are shared with other add-on products.
Figure 1: The Model Builder (to the left), and the Settings window for the selected feature node (to the right). The Equation section in the Settings window shows the model equations.
Figure 2: The Electric Discharge Module interfaces as displayed in the Model Wizard for a 3D model.
Also see Physics Interface Guide by Space Dimension and Study Type. Below, a brief overview of each of the Electric Discharge Module physics interfaces is given.
Electrostatics
The Electrostatics interface (), found under the AC/DC branch in the Model Wizard, solves for the electric potential given the charge distribution in the domain and the voltages applied to boundaries. It is used to model electrostatic devices under static or quasistatic conditions, that is, at frequencies sufficiently low that wave propagation effects can be neglected. The Electrostatic interface is often used together with the Transport of Charge Carriers interface. Note that the Electric Discharge interface has the built-in electrostatics solver and transport equation solver.
Magnetic and Electric Fields
The Magnetic and Electric Fields interface (), found under the AC/DC branch in the Model Wizard, is used to model magnetostatics and magnetodynamics. It solves Ampère’s law for the magnetic vector potential together with a current conservation equation for the electric potential. This interface is often used to solve electromagnetics in electric arc discharges that are formulated in magnetohydrodynamics equations.
Electrical Circuit
The Electrical Circuit interface (), found under the AC/DC branch in the Model Wizard, has the equations to model electrical circuits with or without connections to a distributed fields model. The interface solves for the voltages, currents, and charges associated with the circuit elements. Circuit models can contain passive elements like resistors, capacitors, and inductors as well as active elements such as diodes and transistors. Circuits can be imported from an existing SPICE net list. The interface can be connected to the Electric Discharge interface to model discharge phenomenon triggered in a circuit.
The Reaction Engineering interface
The Reaction Engineering interface () includes all of the tools required to simulate chemical reaction kinetics in well-defined environments. It sets up simulations of reversible, equilibrium, and irreversible reactions in volumes or on surfaces. You can study the evolution of species concentrations and temperature in controlled environments described by batch, continuous stirred-tank, semibatch, and plug flow reactors. Using the Parameter Estimation Study, multiple objectives may be optimized, and with the Optimization Module, additional methods become available.
Chemistry
The Chemistry interface () provides libraries of chemical reactions for use by other physics interfaces. It also provides kinetic expressions for reaction rates, reaction heat sources, and species transport properties to other interfaces. This interface is always created when a Reaction Engineering model is exported to a space-dependent model. As such, it serves as a reaction kinetics and material property provider to the space-dependent transport interfaces, such as Transport of Diluted Species.
Electric Discharge
The Electric Discharge interface () is used to simulate electric discharges and predict electrical breakdown in gas, liquid, and solid dielectrics. It contains built-in charge transport models that solve the drift-diffusion equations of electrons, holes, positive and negative ions fully coupled with Poisson’s equation. In addition, it can also model the surface charge accumulation and relaxation effect at dielectric interfaces. Typical modeling applications are streamer discharges, corona discharges, electrostatic discharges, and dielectric barriers discharges. The effect of a background magnetic field and/or a flow field can be easily considered by coupling to another physics interface.
Arc Discharge
The Arc Discharge multiphysics interface () is used to study electric arc discharges (fully ionized) in a magnetohydrodynamics (MHD) framework. This multiphysics interface adds three single physics interfaces: Magnetic and Electric Fields, Heat Transfer in Fluids, and Laminar Flow, together with several multiphysics coupling features. The multiphysics couplings add the MHD coupling between the Magnetic and Electric Fields and the Laminar Flow interfaces. The multiphysics couplings also add heating and cooling of the equilibrium plasma by enthalpy transport, Joule heating and radiation loss.
Transport of Charge Carriers
The Transport of Charge Carriers interface () is used to solve the number density of one or multiple charge carriers. The charge carriers can be charged species such as electrons, ions, and neutral species like molecules and their excited states. Transport and reactions of charge carriers can be handled with this interface. The driving forces for transport can be drift when coupled to an electromagnetic field, convection when coupled to a flow field, and diffusion.
Corona Discharge
The Corona Discharge interface employs a simplified charge transport model combined with electrostatics to approximate the charge density and electrostatic field in stationary corona discharges. This model does not include the ionization layer of corona discharges, instead utilizing an approximate boundary condition. Additionally, electron dynamics are not solved in this approach. It is generally recommended to use the Electric Discharge interface which is more general.
electrical breakdown detection
The Electrical Breakdown Detection interfaces uses an approximate method to determine if electrical breakdown will occur in a given design by integrating Townsend growth coefficients along electric field lines. It is generally recommended to use the Electric Discharge interface which is more general.
Electromagnetic waves, Transient
The Electromagnetic Waves, Transient interface () solves a time-domain wave equation for the electric field. The sources can be in the form of point dipoles, line currents, or incident fields on boundaries or domains. It is used primarily to model electromagnetic wave propagation in different media and structures when a time-domain solution is required — for example, nonsinusoidal waveforms or nonlinear media. Typical applications involve the propagation of electromagnetic pulses and the generation of harmonics in nonlinear optical media.
Transmission Line, Transient
The Transmission Line, Transient interface () is used to study propagation of waves in time domain along one-dimensional transmission lines. The physics interface solves the time-domain transmission line equation for the electric potential.
Physics Interface Guide by Space Dimension and Study Type
The table below lists the physics interfaces available specifically with this module in addition to the COMSOL Multiphysics basic license.
AC/DC
stationary; frequency domain; time dependent; frequency domain; eigenfrequency
stationary; time dependent; stationary source sweep; eigenfrequency; frequency domain; small signal analysis, frequency domain
Chemical Species Transport
Electric Discharge
Plasma
Radio Frequency