A typical transport equation takes the form:
\[ \frac{D}{Dt}x = S(x) \]
where the source, \( S(x) \), is decomposed into explicit and (linearised) implicit contributions
\[ S(x) = \underbrace{S_u}_{\mathrm{explicit}} + \underbrace{S_p x}_{\mathrm{implicit}} \]
The source is available as a general option, specified using:
generalSource
{
type <type>SemiImplicitSource;
...
volumeMode absolute; // absolute | specific
injectionRateSuSp
{
<field> (<explicit value> <implicit coefficient>);
...
}
}
Where
scalarSource
{
type scalarSemiImplicitSource;
duration 1000.0;
selectionMode all;
volumeMode absolute;
injectionRateSuSp
{
k (30.7 0);
epsilon (1.5 0);
}
}
Tutorials
Source code
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