.BuildingSystems.Airflow.Multizone.BaseClasses.interpolate

Information

This function returns the value on a cubic hermite spline through the given support points and provided spline derivatives at these points with monotonically increasing values. The last 2 points in the table are linearly interpolated.

A similar model is also used in the CONTAM software (Dols and Walton, 2015).

This function is used in BuildingSystems.Airflow.Multizone.Table_m_flow and BuildingSystems.Airflow.Multizone.Table_V_flow

References

• W. S. Dols and B. J. Polidoro,2015. CONTAM User Guide and Program Documentation Version 3.2, National Institute of Standards and Technology, NIST TN 1887, Sep. 2015. doi: 10.6028/NIST.TN.1887.

Interface

function interpolate
  extends Modelica.Icons.Function;
  input Real u "Independent variable";
  input Real[:] xd "X-axis support points";
  input Real[size(xd, 1)] yd "Y-axis support points";
  input Real[size(xd, 1)] d(each fixed = false) "Derivatives at the support points";
  output Real z "Dependent variable with monotone interpolation";
end interpolate;

Revisions

• February 2, 2022, by Michael Wetter:
  Revised implementation.
  This is for IBPSA, #1436.
• Apr 6, 2021, by Klaas De Jonge:
  First Implementation.