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 2 7-2 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.
RESUMEN:Se propone una nueva metodología para la calibración de modelos hidrodinámicos a partir de la aplicación del diseño estadístico de experimentos. Un modelo hidrodinámico Euleriano-Euleriano homogéneo se usa para realizar los experimentos numéricos, el cual está incorporado en el software comercial CFX de Ansys Inc. En la etapa de calibración se utiliza un diseño factorial fraccionado, 2 7-2 , seguido de un diseño Draper-Lin de segundo orden, para encontrar el punto óptimo de la calibración. Se introduce un nuevo método para generar los niveles de los puntos al centro necesarios para la realización de la prueba de falta de ajuste, logrando configurar una metodología validada para la calibración de modelos hidrodinámicos determinísticos con varios factores de entrada. Se logra un modelo de regresión de segundo orden para la predicción del punto óptimo de las simulaciones, con una aceptable precisión en la predicción de la variable de respuesta analizada. information provided is not enough to be applied directly to hydrodynamic simulation because it does not specify how to replicate points with numerical experimentation [3][4][5][6][7].To overcome this problem, the statistical theory of the lack of fit with no replications was used to generate the information for the neighbor points, treating them as the real points to the center [8,9]. Additionally, the descending scaling methodology was used to identify the points of minima outside the initial experimental region [1,2].The numerical simulations in this work were performed by an Eulerian-Eulerian hydrodynamic model for the conservation of mass and momentum laws. It was applied to a two-phase flow of water and air, in order to find the interface surface between these two fluids, which is useful