New methodology for calibration of hydrodynamic models in curved open-channel flow

Hernán Javier Gómez-Zambrano; Víctor Ignacio López-Ríos; Francisco Mauricio Toro-Botero

doi:10.17533/udea.redin.n83a11

Authors

Hernán Javier Gómez-Zambrano University of Nariño https://orcid.org/0000-0002-1825-0097
Víctor Ignacio López-Ríos National University of Colombia https://orcid.org/0000-0003-2127-0221
Francisco Mauricio Toro-Botero National University of Colombia https://orcid.org/0000-0001-8524-2014

DOI:

https://doi.org/10.17533/udea.redin.n83a11

Keywords:

curved channel, hydrodynamic model, design of experiments, lack of fit, calibration of numerical models

Abstract

This paper evaluates a new methodology for calibration of hydrodynamic models based on the theory of statistical design of experiments. An Eulerian-Eulerian hydrodynamic homogeneous model, integrated by the commercial software CFX Ansys Inc., is used to perform the numerical experiments. For the screening step, the fractional factorial experimental design 27-2 was used, followed by a Draper-Lin design of second order to find the optimum point in the calibration. A new method is introduced to generate the level of points to the center and to carry out the test of lack of fit. In this work, we develop a validated methodology for the calibration of deterministic hydrodynamic models with several factors, suggesting a second-order regression model for forecasting the optimum point of the simulations, with acceptable accuracy in predicting the response variable.

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Author Biographies

Hernán Javier Gómez-Zambrano, University of Nariño

Associate Professor, Department of Civil Engineering, Faculty of Engineering. Research Group on Risks, Threats and the Environment (GRAMA).

Víctor Ignacio López-Ríos, National University of Colombia

Associate Professor. Research Group in Statistics, School of Statistics, Faculty of Sciences.

Francisco Mauricio Toro-Botero, National University of Colombia

Professor. Postgraduate Research Group on Use of Hydraulic Resources (PARH), Department of Geosciences and Environment, Faculty of Mines.

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