functioninterpolate
Function for cubic hermite spline interpolation of table data
Extends from Modelica.Icons.Function (Icon for functions).
Information
This function returns the value on a cubic hermite spline through the given support points and provided spline derivatives at these points. The spline derivatives at the support points can be computed using AixLib.Utilities.Math.Functions.splineDerivatives. The support points must be monotonically increasing. Outside the provided support points, the function returns a linear extrapolation with the same slope as the cubic spline has at the respective support point.
A similar model is also used in the CONTAM software (Dols and Walton, 2015).
This function is used in AixLib.Airflow.Multizone.Table_m_flow and AixLib.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.
Inputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | u | Independent variable | |
| Real | xd | x-axis support points | |
| Real | yd | y-axis support points | |
| Real | d | Derivatives at the support points |
Outputs
| Type | Name | Default | Description |
|---|---|---|---|
| Real | z | Dependent variable with monotone interpolation |
Revisions
-
February 29, 2024, by Hongxiang Fu:
Moved to AixLib.Utilities.Math.Functions from AixLib.Airflow.Multizone.BaseClasses.
This is for IBPSA, #1844. -
February 26, 2024, by Hongxiang Fu:
Correct implementation to make it smooth.
This is for IBPSA, #1840. -
February 2, 2022, by Michael Wetter:
Revised implementation.
This is for IBPSA, #1436. -
Apr 6, 2021, by Klaas De Jonge:
First Implementation.