POD reduced-order model for steady natural convection based on a body-fitted coordinate

Han, Dongxu; Yu, Bo; Chen, Jingjing; Wang, Yi; Wang, Ye

doi:10.1016/j.icheatmasstransfer.2015.08.024

Cited by 9 publications

(6 citation statements)

References 19 publications

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“…During the initial time period, 1 Nu was reduced before W was equal to 12, which was associated with the formation of heated air layer at this interface. An increase in the mean Nusselt number at the bottom horizontal solid -fluid interface in a time range of 12 to 50 was due to the formation of circulating flows in the air cavity.…”

Section: Ramentioning

confidence: 98%

“…An increase in the mean Nusselt number at the bottom horizontal solid -fluid interface in a time range of 12 to 50 was due to the formation of circulating flows in the air cavity. Hereafter, 1 Nu changed slightly, which was associated with the constant value of temperature gradient near the bottom horizontal wall. Along with that, an increase in dimensionless time led to a rise in the mean Nusselt number at the vertical solid -fluid interface, which was due to the increasing of air velocity along this interface.…”

Section: Ramentioning

confidence: 99%

“…The solutions of various natural convection problems in nonconjugate [1][2][3] and conjugate [4][5][6] formulations were performed last years. The numerical analysis is conducted basically for the twodimensional problems of heat transfer, which is associated with the significant complexity when implementing the difference schemes for time-dependent three-dimensional conservation equations of mass, momentum, and energy.…”

Section: Introductionmentioning

confidence: 99%

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Numerical Analysis of Three-Dimensional Natural Convection in a Closed Rectangular Cavity Under Conditions of Radiant Heating and Conjugate Heat Exchange

Nee

2016

MATEC Web Conf.

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Abstract. The numerical simulation results of three-dimensional natural convection in a closed cavity were presented under conditions of the bottom horizontal solid-fluid interface radiant heating and conjugate heat exchange. Conservation equations of mass, momentum, and energy were formulated in terms of vorticity vector -vector potential -temperature dimensionless variables and solved by means of the finite difference method. It was found that the heat transfer process under study had a significant unsteady nature. According to the results of conjugate heat exchange integral analysis, it was shown that similar trends of mean Nusselt numbers versus dimensionless time were formed for both two and three dimensional problem formulations.

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Section: Ramentioning

confidence: 98%

Section: Ramentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Numerical Analysis of Three-Dimensional Natural Convection in a Closed Rectangular Cavity Under Conditions of Radiant Heating and Conjugate Heat Exchange

Nee

2016

MATEC Web Conf.

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“…This model effectively expanded the application scope of POD, but only a steady situation was studied. Furthermore, Han et al [20] proposed a BFCbased POD reduced-order model for the unsteady heat conduction of crude oil pipelines and applied it to the cold and hot oil batch transportation as well as pipe shutdown.…”

Section: Introductionmentioning

confidence: 99%

Fast Prediction of the Temperature Field Surrounding a Hot Oil Pipe Using the POD-BP Model

Yan,

Jiao,

Nie

et al. 2023

Processes

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The heat transfer assessment of a buried hot oil pipe is essential for the economical and safe transportation of the pipeline, where the basis is to determine the temperature field surrounding the pipe quickly. This work proposes a novel method to efficiently predict the temperature field surrounding a hot oil pipe, which combines the proper orthogonal decomposition (POD) method and the backpropagation (BP) neural network, named the POD-BP model. Specifically, the BP neural network is used to establish the mapping relationship between spectrum coefficients and the preset parameters of the sample. Compared with the classical POD reduced-order model, the POD-BP model avoids solving the system of reduced-order governing equations with spectrum coefficients as variables, thus improving the prediction speed. Another advantage is that it is easy to implement and does not require tremendous mathematical derivation of reduced-order governing equations. The POD-BP model is then used to predict the temperature field surrounding the hot oil pipe, and the sample matrix is obtained from the numerical results using the finite volume method (FVM). In validation cases, both steady and unsteady states are investigated, and multiple boundary conditions, thermal properties, and even geometry parameters (different buried depths and pipe diameters) are tested. The mean errors of steady and unsteady cases are 0.845~3.052% and 0.133~1.439%, respectively. Appealingly, almost no time, around 0.008 s, is consumed in predicting unsteady situations using the proposed POD-BP model, while the FVM requires a computational time of 70 s.

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“…The proper orthogonal decomposition reduced‐order model (POD‐ROM) can reduce the number of degrees of freedom for original high‐dimensional physical problems by combining the POD and the Galerkin projection method . It has been applied in many fields, such as turbulence flow, heat conduction and convective heat transfer, two‐phase flow, and gas flow . Recently, the POD method has been extended to simulate flow in porous media .…”

Section: Introductionmentioning

confidence: 99%

A Galerkin‐free/equation‐free model reduction method for single‐phase flow in fractured porous media

Han

Tang

et al. 2020

Energy Science & Engineering

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Using traditional high‐fidelity numerical simulation to simulate fluid flow in fractured porous media in a real field remains challenging. It involves a large number of degrees of freedom when matrix and fracture equations are solved. To address this challenge, we propose a Galerkin‐free framework to construct a reduced‐order model (ROM) based on the proper orthogonal decomposition (POD). Compared with the typical POD‐based modeling process commonly used in previous studies, the POD‐ROM can be built without performing the Galerkin projection of flow equations onto the low‐dimensional space spanned by the POD basis functions. The numerical integration method was incorporated to obtain the POD time coefficients based on the flow equations solved by the conventional finite volume method. Two complex fracture cases reflecting high‐contrast porous media in a two‐dimensional domain were designed to verify the accuracy and efficiency of the established Galerkin‐free POD‐ROM. Sensitivity analysis of parameters was conducted to examine the adaptability of the ROM. The results illustrate that, compared with the fine‐scale model, the ROM can significantly reduce the CPU time without compromising the quality of the numerical solutions.

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POD reduced-order model for steady natural convection based on a body-fitted coordinate

Cited by 9 publications

References 19 publications

Numerical Analysis of Three-Dimensional Natural Convection in a Closed Rectangular Cavity Under Conditions of Radiant Heating and Conjugate Heat Exchange

Numerical Analysis of Three-Dimensional Natural Convection in a Closed Rectangular Cavity Under Conditions of Radiant Heating and Conjugate Heat Exchange

Fast Prediction of the Temperature Field Surrounding a Hot Oil Pipe Using the POD-BP Model

A Galerkin‐free/equation‐free model reduction method for single‐phase flow in fractured porous media

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