# multiSpeciesSym¶

The multiSpeciesSym provides symmetry sources for the multi species continuity equations (multiSpeciesSingleVelocity) for example. Choices are cylindrical and spherical symmetry. For a set of $$n$$ continuity equations the cylindrical source is given by

\notag \begin{align} s_{i}=-\frac{1}{r}\left( \begin{array}{c} n_{i}\,u_{x} \end{array} \right) \end{align}

and the spherical symmetry source by

\notag \begin{align} s_{i}=-\frac{2}{r}\left( \begin{array}{c} n_{i}\,u_{x} \end{array} \right) \end{align}

## Parameters¶

basementDensity (float)
If the number density is below basementDensity then the density is set to the basementNumber density in evaluating this source.
numberOfSpecies (int)
The number of species
symmetryType (string)
Either cylindrical or spherical

## Parent Updater Data¶

in (string vector, required)
1st Variable (nodalArray)

There are n species number densities

1. $$n_{i}$$ species number density
2nd Variable (density and momentum) (nodalArray)
1. $$\rho$$ mass density
2. $$\rho\,u_{x}$$ x momentum density
3. $$\rho\,u_{y}$$ y momentum density
4. $$\rho\,u_{z}$$ z momentum density

## Example¶

<Source multiSpeciesAxiSrc>
kind = multiSpeciesSym
symmetryType = cylindrical
numberOfSpecies = NSPECIES
</Source>