Article
Engineering, Multidisciplinary
Arash Mohammadi, Koji Shimoyama, Mohamad Sadeq Karimi, Mehrdad Raisee
Summary: An efficient surrogate model based on POD and compressed sensing is developed for affordable representation of high-dimensional stochastic fields, showing potential in engineering applications.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Computer Science, Interdisciplinary Applications
Huan Zhao, Zheng-Hong Gao, Lu Xia
Summary: Surrogate models are widely used in uncertainty-based design optimization, but they often have accuracy and sensitivity issues. To address these challenges, a UBDO framework based on multi-fidelity polynomial chaos-Kriging is proposed, with particular superiority for complex aerodynamic applications.
COMPUTERS & FLUIDS
(2022)
Article
Engineering, Multidisciplinary
Negin Alemazkoor, Arghavan Louhghalam, Mazdak Tootkaboni
Summary: This work proposes a novel non-intrusive multi-fidelity sampling approach that uses a low-fidelity model to select high-yield sampling locations for a high-fidelity model. The approach utilizes a greedy search and subset updating strategy to construct an accurate PCE surrogate with a small number of high-fidelity samples, improving computational efficiency for uncertainty quantification.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Civil
Vinh Ngoc Tran, Jongho Kim
Summary: This study introduces the strengths of polynomial chaos-kriging (PCK), a new surrogate model that combines polynomial chaos extension (PCE) and Gaussian process with kriging variance. The results show that PCK outperforms PCE and ordinary kriging (OK) in mimicking predictive and sensitive behaviors of the original model with a smaller-sized training dataset. Additionally, PCK accurately predicts hydrographs and flood peaks for extreme events that differ significantly from the training set.
JOURNAL OF HYDROLOGY
(2022)
Article
Metallurgy & Metallurgical Engineering
Marks Legkovskis, Peter J. Thomas, Michael Auinger
Summary: Uncertainty quantification is crucial in steel reheating simulations due to input uncertainties in defining surface properties and furnace conditions. The study uses polynomial chaos expansion to reduce computational effort and presents a comprehensive uncertainty quantification analysis of a walking-beam reheat furnace. The analysis reveals the significant influence of parameters related to emissivity and oxide scale growth on slab temperature and identifies the transition in importance of oxide scale growth inputs.
STEEL RESEARCH INTERNATIONAL
(2023)
Article
Engineering, Multidisciplinary
Qinghua Lu, Li Wang, Longsuo Li
Summary: This paper proposes an uncertainty quantification method that combines compressed sensing and POD-Kriging. Two CFD test cases are used to validate the effectiveness and accuracy of the proposed method.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2022)
Article
Engineering, Electrical & Electronic
Qing Liu, JinLong Li, Nan Ding, XiaoHu Yi, Liang Li, Hao Zhong
Summary: With the expansion of power grid, the hazard of geomagnetically induced current (GIC) has attracted more attention. Due to limited data from Magnetotelluric detection points, the existing earth conductivity model cannot be applied to large-scale power grid GIC calculation. This paper presents a method for modeling the conductivity of the earth with limited data and uses it to quantify the uncertainty. The uncertainty quantification model of GIC is constructed based on the Polynomial Chaos Expansions (PCE) method, providing statistical information and sensitivity analysis of GIC for the 1000 kV ultra-high voltage Northern China Power Grid.
ELECTRIC POWER SYSTEMS RESEARCH
(2023)
Article
Engineering, Marine
Ming Chen, Xinhu Zhang, Kechun Shen, Guang Pan
Summary: This study investigates the high-dimensional uncertainty quantification of critical buckling pressure for a composite cylindrical shell with geometric and material uncertainties using sparse polynomial chaos expansion (PCE). The results show that the uncertainty of the longitudinal modulus has a massive influence on the critical buckling pressure, while the uncertainties of other parameters have a weak influence.
JOURNAL OF MARINE SCIENCE AND ENGINEERING
(2022)
Article
Engineering, Civil
Z. P. Xu, Y. P. Li, G. H. Huang, Z. Y. Shen
Summary: In this study, a PCE-ANOVA-RF method is developed to analyze the effects of multiple uncertain parameters in the SWAT model and generate probabilistic forecasts of daily streamflow. The proposed method not only reveals the impact of parameter uncertainty and saves computation time, but also expands PCE's ability to predict future streamflow processes. The feasibility and applicability of the method are verified in the Amu Darya River Basin in Central Asia.
JOURNAL OF HYDROLOGY
(2023)
Article
Mathematics, Applied
K. V. Vishal Krishnan, Ranjan Ganguli
Summary: A multi-fidelity surrogate model is created using co-kriging methodology to predict natural frequencies of beams efficiently and accurately by combining Euler-Bernoulli and Timoshenko beam finite element models. The study demonstrates the computational efficiency and utility of the model in quantifying uncertainties in natural frequencies through Monte Carlo Simulation.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Xiang Sun, Jung-Il Choi
Summary: The proposed method utilizes POD and PCE to model spacetime-dependent parameterized problems, effectively estimating low-order moments and accuracy loss under uncorrelated or correlated input parameters.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2021)
Article
Engineering, Multidisciplinary
Kai Cheng, Zhenzhou Lu, Sinan Xiao, Sergey Oladyshkin, Wolfgang Nowak
Summary: In this paper, a mixed covariance function Kriging model is proposed for uncertainty quantification. The model combines a traditional stationary covariance function and a nonstationary covariance function to represent the uncertainties. The optimal values of hyperparameters are obtained using a maximum likelihood estimation algorithm, and sparse representation is achieved by automatically removing small contribution basis functions. The model achieves comparable performance to the state-of-art models for nonlinear problems of moderate to high dimensionality.
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION
(2022)
Article
Mathematics, Applied
Y. Wei, F. Vazeille, Q. Serra, E. Florentin
Summary: PCE is a powerful metamodeling technique, but requires exponentially increasing training samples with problem dimensionality. PGD has emerged as a popular solution with linear complexity growth based on separate representations. This work introduces a hybrid technique called PGD-PCE, utilizing orthonormal polynomial functions, demonstrating good accuracy and computational efficiency in handling large problems.
FINITE ELEMENTS IN ANALYSIS AND DESIGN
(2022)
Article
Engineering, Industrial
Wen Yao, Xiaohu Zheng, Jun Zhang, Ning Wang, Guijian Tang
Summary: This paper proposes an adaptive arbitrary polynomial chaos (aPC) method and combines it with a deep neural network (DNN) to propose a semi-supervised deep adaptive arbitrary polynomial chaos expansion (Deep aPCE) method. The Deep aPCE method reduces the training data cost by using a small amount of labeled data and abundant unlabeled data, and improves the accuracy of uncertainty quantification by dynamically fine-tuning the adaptive expansion coefficients using DNN. Additionally, the Deep aPCE method can construct accurate surrogate models of high dimensional stochastic systems.
RELIABILITY ENGINEERING & SYSTEM SAFETY
(2023)
Article
Engineering, Industrial
Mishal Thapa, Samy Missoum
Summary: This paper presents a framework for uncertainty quantification (UQ) and global sensitivity analysis (GSA) of composite wind turbine blades using polynomial chaos expansion (PCE) with l(1)-minimization. The framework is capable of handling a large number of random parameters and can assess the relative importance of these parameters using Sobol Indices. It also allows for arbitrary distributions of random inputs and spatial variations of material and geometric properties. The presented framework is applied to three composite wind turbine blade problems, and results are compared to Monte Carlo simulations.
RELIABILITY ENGINEERING & SYSTEM SAFETY
(2022)
Article
Thermodynamics
Mahsa Taghavi, Swapnil Sharma, Vemuri Balakotaiah
Summary: This study investigates the natural convection effects in the insulation layers of spherical storage tanks and their impact on the tanks' performance. The permeability and Rayleigh number of the insulation material are considered as key factors. The results show that as the Rayleigh number increases, new convective cells emerge and cause the cold boundary to approach the external hot boundary. In the case of large temperature differences, multiple solutions may coexist.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Jinyang Xu, Fangjun Hong, Chaoyang Zhang
Summary: This study introduces a self-induced jet impingement device for enhancing pool boiling performance in high power electronic cooling. Through visualization and parametric investigations, the effects of this device on pool boiling performance are studied, revealing the promotion of additional liquid supply and vapor exhausting. The flow rate of the liquid jet is found to positively impact boiling performance.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Wenchao Ke, Yuan Liu, Fissha Biruke Teshome, Zhi Zeng
Summary: Underwater wet laser welding (UWLW) is a promising and labor-saving repair technique. A thermal multi-phase flow model was developed to study the heat transfer, fluid dynamics, and phase transitions during UWLW. The results show that UWLW creates a water keyhole, making the welding environment similar to in air laser welding.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Xingrong Lian, Lin Tian, Zengyao Li, Xinpeng Zhao
Summary: This study investigates the heat transfer mechanisms in natural fiber-derived porous structures and finds that thermal radiation has a significant impact on the thermal conductivity in low-density regions, while natural convection rarely occurs. Insulation materials derived from micron-sized natural fibers can achieve minimum thermal conductivity at specific densities. Strategies to lower the thermal conductivity include increasing porosity and incorporating nanoscale pores using nanosize fibers.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Yasir A. Malik, Kilian Koebschall, Stephan Bansmer, Cameron Tropea, Jeanette Hussong, Philippe Villedieu
Summary: Ice crystal icing is a significant hazard in aviation, and accurate modeling of sticking efficiency is essential. In this study, icing wind tunnel experiments were conducted to quantify the volumetric liquid water fraction, sticking efficiency, and maximum thickness of ice layers. Two measurement techniques, calorimetry and capacitive measurements, were used to measure the liquid water content and distribution in the ice layers. The experiments showed that increasing wet bulb temperatures and substrate heat flux significantly increased sticking efficiency and maximum ice layer thickness.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Jinqi Hu, Tongtong Geng, Kun Wang, Yuanhong Fan, Chunhua Min, Hsien Chin Su
Summary: This study experimentally examined the heat dissipation of vibrating fans and demonstrated its inherent mechanism through numerical simulation. The results showed that the flow fields induced by the vibrating blades exhibited pulsating features and formed large-scale and small-scale vortical structures, significantly improving heat dissipation. The study also identified the impacts of different blade structures and developed a trapezoidal-folding blade, which effectively reduced the maximum temperature of the heat source and alleviated high-temperature failure crisis.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Dan-Dan Su, Xiao-Bin Li, Hong-Na Zhang, Feng-Chen Li
Summary: The boiling heat transfer of low-boiling-point working fluid is a common heat dissipation technology in electronic equipment cooling. This study analyzed the interfacial boiling behavior of R134a under different conditions and found that factors such as the initial thickness of the liquid film, solid-liquid interaction force, and initial temperature significantly affect the boiling mode and thermal resistance.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Jinyi Wu, Dongke Sun, Wei Chen, Zhenhua Chai
Summary: A unified lattice Boltzmann-phase field scheme is proposed to simulate dendrite growth of binary alloys in the presence of melt convection. The effects of various factors on the growth are investigated numerically, and the model is validated through comparisons and examinations.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Shaokun Ge, Ya Ni, Fubao Zhou, Wangzhaonan Shen, Jia Li, Fengqi Guo, Bobo Shi
Summary: This study investigated the temperature distribution of main cables in a suspension bridge during fire scenarios and proposed a prediction model for the maximum temperature of cables in different lane fires. The results showed that vehicle fires in the emergency lane posed a greater thermal threat to the cables.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Shuang-Ying Wu, Shi-Yao Zhou, Lan Xiao, Jia Luo
Summary: This paper investigates the two-phase flow and heat transfer characteristics of low-velocity jet impacting on a cylindrical surface. The study reveals that the heat transfer regimes are non-phase transition and nucleate boiling with the increase of heat transfer rate. The effects of jet impact height and outlet velocity on local surface temperatures are pronounced at the non-phase transition stage. The growth rates of heat transfer rate and liquid loss rate increase significantly from the non-phase transition to nucleate boiling stage.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Emad Hasani Malekshah, Wlodzimierz Wlodzimierz, Miros law Majkut
Summary: Cavitation has significant practical importance and can be controlled by air injection. This study investigates the natural to ventilated cavitation process around a hydrofoil through numerical and experimental methods. The results show that the location and rate of air injection have a meaningful impact on the characteristics of cavitation.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Feriel Yahiat, Pascale Bouvier, Antoine Beauvillier, Serge Russeil, Christophe Andre, Daniel Bougeard
Summary: This study explores the enhancement of mixing performance in laminar flow equipment by investigating the generation of chaotic advection using wall deformations in annular geometries. The findings demonstrate that the combined geometry can achieve perfect mixing at various Reynolds numbers.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Hui He, Ning Lyu, Caihua Liang, Feng Wang, Xiaosong Zhang
Summary: This study investigates the condensation, frosting, and defrosting processes on superhydrophobic surfaces with millimeter-scale structures. The results reveal that the structures can influence the growth and removal of frost crystals, with the bottom grooves creating a frost-free zone and conical edges promoting higher frost crystal heights. Two effective methods for defrosting are observed: hand-lifting the groove and airfoil retraction contraction on protruding structures. This research provides valuable insights into frost formation and defrosting on millimeter-structured superhydrophobic surfaces, with potential applications in anti-frost engineering.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Thiwanka Arepolage, Christophe Verdy, Thibaut Sylvestre, Aymeric Leray, Sebastien Euphrasie
Summary: This study developed two thermal concentrators, one with a 2D design of uniform thickness and another with a 3D design, using the coordinate transformation technique and metamaterials. By structuring the thermal conductor, the desired local density-heat capacity product and anisotropic thermal conductivities were achieved. The homogenized thermal conductivities were obtained from finite element simulations and cylindrical symmetry consideration. A 3D concentrator was fabricated using 3D metal printing and characterized using a thermal camera. Compared to devices that solely consider anisotropic conductivities, the time evolution characteristics of the metadevice designed with coordinate transformation were closer to those of an ideal concentrator.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)
Article
Thermodynamics
Liangyuan Cheng, Qingyang Wang, Jinliang Xu
Summary: In this study, we investigated the supercritical heat transfer of CO2 in a horizontal tube with a diameter of 10.0 mm, covering a wide range of pressures, mass fluxes, and heat fluxes. The study revealed a non-monotonic increase in wall temperatures along the flow direction and observed both positive and negative wall temperature differences between the bottom and top tube. The findings were explained by the thermal conduction in the solid wall interacting with the stratified-wavy flow in the tube.
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER
(2024)