- yeeConductorUpdater
yeeConductorUpdater¶
Works with VSimEM and VSimVE licenses.
Multifield updater that solves the following versions of the Ampere and Faraday equations, in which \(i\) is one of \(x\), \(y\), or \(z\), \(\sigma_{e,i}\) is the electric conductivity in the \(i\) direction divided by \(\epsilon_0\), \(\sigma_{m,i}\) is the magnetic conductivity in the \(i\) direction divided by \(\mu_0\). Both \(\sigma_{e,i}\) and \(\sigma_{m,i}\) have units of frequency. Also, \(J_{e,i}\) and \(J_{m,i}\) are the electric and magnetic currents in the \(i\) direction, respectively.
yeeConductorUpdater Ampere equation:
yeeConductorUpdater Faraday equation:
yeeConductorUpdater Parameters¶
The yeeConductorUpdater
takes the lowerBounds
and
upperBounds
parameters of FieldUpdater, the
global region modification parameters, and the .components
parameter of FieldMultiUpdater. In addition,
curlUpdater takes the following parameters:
- emType (required string)
One of:
ampere
:Expects
writeFields
to be the yee electric field andreadFields
to be the yee magnetic field.readFields
can also contain an optional 4-component electric charge/current field.faraday
:Reverses \(\mathbf{E}\) and \(\mathbf{B}\), and if specified, the optional 4-component field represents magnetic charge/current.
- readFields (required string vector)
A vector of either one or two strings. The first string is the name of the field to take the curl of, and if provided, the second is the name of the charge/current field.
- writeFields (required string vector)
A vector containing a single element, which is the name of the field to update.
- sigma (optional float)
The uniform, isotropic conductivity.
- sigma (optional parameter block)
A parameter block of type STFunc specifying the local isotropic conductivity.
- sigmaX (optional float)
The uniform conductivity in the \(x\) direction.
- sigmaX (optional parameter block)
A parameter block of type STFunc specifying the local conductivity in the \(x\) direction.
- sigmaY (optional float)
The uniform conductivity in the \(y\) direction.
- sigmaY (optional parameter block)
A parameter block of type STFunc specifying the local conductivity in the \(y\) direction.
- sigmaZ (optional float)
The uniform conductivity in the \(z\) direction.
- sigmaZ (optional parameter block)
A parameter block of type STFunc specifying the local conductivity in the \(z\) direction.
Note
For each conductivity parameter above, either the scalar
parameter for the uniform conductivity, or the STFunc
block for the local conductivity can be specified, but not both.
If an isotropic conductivity is not specified, a componentwise
sigma
parameter must be specified for each updated
component. If both an isotropic conductivity and componentwise
conductivities are specified, the componentwise
conductivities will be used for any components for which they are
specified, and the isotropic conductivity will be used for
components for which they are not.
Example yeeConductorUpdater Block¶
<FieldMultiUpdater waterAmpere>
gridBoundary = universe
kind = yeeConductorUpdater
emType = ampere
components = [0 1 2]
contractFromBottomInNonComponentDir = 1
lowerBounds = [NX_WATER_L 0 0]
upperBounds = [NX_WATER_H NY NZ]
readFields = [magField SumRhoJ]
writeFields = [elecField]
sigma = SIGMA_WATER # conductivity/epsilon_0
</FieldMultiUpdater>