Improving performance estimation of a PCM-integrated solar chimney through reduced-order based data assimilation

Fuente: arXiv
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Autores principales: Rivera, Diego R., Castillo, Ernesto, Galarce, Felipe, Pacheco, Douglas R. Q.
Formato: Preprint
Publicado: 2025
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author Rivera, Diego R.
Castillo, Ernesto
Galarce, Felipe
Pacheco, Douglas R. Q.
author_facet Rivera, Diego R.
Castillo, Ernesto
Galarce, Felipe
Pacheco, Douglas R. Q.
contents This study evaluates a data assimilation framework based on reduced-order modeling (ROM-DA), complemented by a hybrid data-filling strategy, to reconstruct dynamic temperature fields in a phase-change-material (PCM) integrated solar chimney from limited temperature measurements. The goal is to enhance the estimation accuracy of the outlet airflow velocity. A regularized least-squares formulation is employed to estimate temperature distributions within an inclined solar chimney using RT-42 as the PCM. The methodology combines (i) a reduced-order model derived from high-fidelity finite-volume simulations of unsteady conjugate heat transfer with liquid-solid phase change and surface radiation, and (ii) three experimental datasets with 22, 135, and 203 measurement points. Missing data are reconstructed using a hybrid filling scheme based on boundary-layer and bicubic interpolations. The assimilated temperature fields are integrated into the thermally coupled forward solver to improve velocity predictions. Results show that the ROM-DA framework reconstructs the transient temperature fields in both the air and PCM domains with relative errors below 10 percent for sparse data and below 3 percent for expanded datasets. When applied to experimental measurements, the approach enhances the fidelity of temperature and velocity fields compared with the baseline model, reducing the outlet velocity RMS error by 20 percent. This represents the first application of a ROM-DA framework to a coupled multiphysics solar chimney with PCM integration, demonstrating its potential for near-real-time thermal state estimation and digital-twin development.
format Preprint
id arxiv_https___arxiv_org_abs_2510_16469
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Improving performance estimation of a PCM-integrated solar chimney through reduced-order based data assimilation
Rivera, Diego R.
Castillo, Ernesto
Galarce, Felipe
Pacheco, Douglas R. Q.
Numerical Analysis
Fluid Dynamics
This study evaluates a data assimilation framework based on reduced-order modeling (ROM-DA), complemented by a hybrid data-filling strategy, to reconstruct dynamic temperature fields in a phase-change-material (PCM) integrated solar chimney from limited temperature measurements. The goal is to enhance the estimation accuracy of the outlet airflow velocity. A regularized least-squares formulation is employed to estimate temperature distributions within an inclined solar chimney using RT-42 as the PCM. The methodology combines (i) a reduced-order model derived from high-fidelity finite-volume simulations of unsteady conjugate heat transfer with liquid-solid phase change and surface radiation, and (ii) three experimental datasets with 22, 135, and 203 measurement points. Missing data are reconstructed using a hybrid filling scheme based on boundary-layer and bicubic interpolations. The assimilated temperature fields are integrated into the thermally coupled forward solver to improve velocity predictions. Results show that the ROM-DA framework reconstructs the transient temperature fields in both the air and PCM domains with relative errors below 10 percent for sparse data and below 3 percent for expanded datasets. When applied to experimental measurements, the approach enhances the fidelity of temperature and velocity fields compared with the baseline model, reducing the outlet velocity RMS error by 20 percent. This represents the first application of a ROM-DA framework to a coupled multiphysics solar chimney with PCM integration, demonstrating its potential for near-real-time thermal state estimation and digital-twin development.
title Improving performance estimation of a PCM-integrated solar chimney through reduced-order based data assimilation
topic Numerical Analysis
Fluid Dynamics
url https://arxiv.org/abs/2510.16469