Stepsmoother

Created Monday 12 September 2011

Create a smooth step between 0 and 1

1. Purpose of Function


2. Limits of Validity


3. Interfaces

4. Nomenclature



5. Governing Equations


The function StepSmoother(x) interpolates between 0 and 1 if x varies from the lower threshold n to the upper threshold f.
With the definitions

two different cases n < f and f > f are distinguished.

5.1 n<f


5.2 n > f



Notice that by the properties of the tan function we have

Due to finite numerical precision this implies

which justifies the choice of interpolation above.



6. Remarks for Usage


7. Validation


8. References


9. Version History


Backlinks: ClaRa:Basics:Functions:SmoothZeroTransmission ClaRa:Components:Utilities:Blocks:StepSmootherGain ClaRa:Basics:ControlVolumes:Fundamentals:SpatialDistributionAspects:RealMixed ClaRa:Basics:ControlVolumes:Fundamentals:SpatialDistributionAspects:RealSeparated ClaRa:Components:TurboMachines:Fundamentals:PumpEfficiency:EfficiencyCurves Q1 ClaRa:Basics:ControlVolumes:Fundamentals:HeatTransport:VLE HT:NusseltPipe2ph L2