# Temporal Blending

Temporal Blending is usually used to smoothly apply an external source to the PDE. Therefore the source data $s(t)$ is multiplied with a scalar blending function $f(t)$ to get the output

$r(t) = s(t) \cdot f(t)$

The blending function is defined as explained in Math Expressions

The filter is defined as following in the CFSdat xml input:

For temporal Blending with the blending function $f(t)=1-t^2$

<temporalBlending inputFilterIds="input" id="blend">
<blendingFunction temporalFunction="1.0-t^2"/>
<singleResult>
<inputQuantity resultName="..."/>
<outputQuantity resultName="..."/>
</singleResult>
</temporalBlending>


## Acknowledgement

Please provide an acknowledgement at the end of your publication using this software part for simulations

The computational results presented have been achieved [in part] using the software openCFS [Temporal Blending].