Análisis de sensibilidad espacial de un modelo hidrodinámico del embalse Punchiná (Antioquia) (Spatial sensitivity analysis of a hydrodynamic model of the Punchiná reservoir (Antioquia)
Análisis de sensibilidad espacial de un modelo hidrodinámico del embalse Punchiná (Antioquia) (Spatial sensitivity analysis of a hydrodynamic model of the Punchiná reservoir (Antioquia)
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Se presenta en este artículo una metodología que permite cuantificar explícitamente el valor óptimo de los parámetros numéricos de un modelo hidrodinámico, tales como la resolución de la malla (en dirección horizontal
y vertical) y el intervalo temporal de cálculo. El procedimiento se basa en un análisis de beneficio-costo, donde se busca obtener un balance entre la calidad de la solución numérica y el costo computacional requerido para lograrla. El carácter espacial del análisis de sensibilidad propuesto permite determinar en cada una de las celdas de la malla de cálculo la alteración en la solución numérica debida a variaciones en los parámetros físicos o numéricos que constituyen el modelo. Lo anterior posibilitó identificar en el interior del embalse Punchiná dónde y en qué grado son relevantes la resolución de la malla, el intervalo de cálculo temporal, la rugosidad del lecho y el coeficiente de viscosidad de remolino.
Abstract: This paper presents a methodology to assess explicitly the optimal value of the numerical parameters in a hydrodynamic model, such as the grid resolution (horizontal and vertical direction) and the calculation time interval. The methodology is based on a cost-benefit analysis which seeks a desirable balance between the quality of the numerical solution and the required computational time. The spatial nature of the sensitivity analysis presented allows us to determine in each calculation grid cell the alteration of the numerical solution due to changes in the numerical or physical parameters in the model. According to this, it was possible to determine within the Punchiná reservoir where and to what extent are relevant the grid resolution, the time interval, the bed roughness, and the eddy viscosity coefficient.
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