Academic literature on the topic 'Multi-Physics correlations'

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Journal articles on the topic "Multi-Physics correlations"

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Spikes, Kyle T., and Mrinal K. Sen. "Correlations of inclusion-based rock-physics model inputs from Bayesian analysis." Journal of Geophysics and Engineering 19, no. 5 (2022): 965–81. http://dx.doi.org/10.1093/jge/gxac063.

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Abstract For any given rock-physics model, knowledge of correlations among its inputs helps to define geologically and physically meaningful and informed models for a given problem. These informed models can, in turn, reduce the uncertainty in forward and inverse problems. We use a Bayesian framework to identify such correlations among inputs of two rock-physics models. That framework makes use of velocity and porosity measurements on both dry and brine-saturated carbonate samples. Two inclusion-based rock-physics models, the self-consistent approximation and the differential effective medium
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Babaee, H., P. Perdikaris, C. Chryssostomidis, and G. E. Karniadakis. "Multi-fidelity modelling of mixed convection based on experimental correlations and numerical simulations." Journal of Fluid Mechanics 809 (November 21, 2016): 895–917. http://dx.doi.org/10.1017/jfm.2016.718.

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For thermal mixed-convection flows, the Nusselt number is a function of Reynolds number, Grashof number and the angle between the forced- and natural-convection directions. We consider flow over a heated cylinder for which there is no universal correlation that accurately predicts Nusselt number as a function of these parameters, especially in opposing-convection flows, where the natural convection is against the forced convection. Here, we revisit this classical problem by employing modern tools from machine learning to develop a general multi-fidelity framework for constructing a stochastic
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Papadionysiou, Marianna, Kim Seongchan, Mathieu Hursin, et al. "COUPLING OF nTRACER TO COBRA-TF FOR HIGH-FIDELITY ANALYSIS OF VVERs." EPJ Web of Conferences 247 (2021): 02008. http://dx.doi.org/10.1051/epjconf/202124702008.

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Paul Scherrer Institut is developing a high-resolution multi-physics core solver for VVER analysis. This work presents the preliminary stages of the development, specifically the coupling of the 3D pin-by-pin neutronic solver nTRACER to the sub-channel thermal-hydraulic code COBRA-TF for single assembly multi-physics steady state calculations. The coupling scheme and the modifications performed in the codes are described in details. The results of the coupled nTRACER/COBRA-TF calculations are compared to the ones of a standalone nTRACER calculation where the feedbacks are provided by a simplif
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White, Gregory A. L., Felix A. Pollock, Lloyd C. L. Hollenberg, Charles D. Hill, and Kavan Modi. "What can unitary sequences tell us about multi-time physics?" Quantum 9 (April 8, 2025): 1695. https://doi.org/10.22331/q-2025-04-08-1695.

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Multi-time quantum processes are endowed with the same richness as multipartite states, including temporal entanglement and exotic causal structures. However, experimentally probing these rich phenomena leans heavily on fast and clean mid-circuit measurements, which are rarely available. We show here how surprisingly accessible these phenomena are in nascent quantum processors even when faced with substantially limited control. We work within the limitation where only unitary control is allowed, followed by a terminating measurement. Within this setting, we first develop a witness for genuine
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Abdel-Khalek, S., K. Berrada, and H. Eleuch. "Quantum correlation and non-classical properties in semiconductor microcavities for multi-photon excitation." International Journal of Quantum Information 17, no. 05 (2019): 1950047. http://dx.doi.org/10.1142/s0219749919500473.

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We study how the interplay of weak excitation regime of quantum well confined in a semiconductor microcavity affects the dynamics of correlations and the statistical properties of photons. We discuss how the system parameters can impact the quantum entropy and Mandel’s parameter, and illustrate our concerns with numerical simulations. We have found that the enhancement of the correlations and the control of the statistical properties of photons in semiconductor microcavities for multi-photon excitation highly benefits from the combination of the strength of the field, excitonic spontaneous emi
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Ghumaryan, Hazaravard M. "Pythia8 MC Tuning Validation Using the Professor2 Package." Mathematical Problems of Computer Science 61 (June 1, 2024): 15–26. http://dx.doi.org/10.51408/1963-0112.

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This article presents a method for multi-parameter, simultaneous tuning of the Monte Carlo event generator. It is validated on the Pythia8 Monte Carlo event generator widely used in High Energy Physics (HEP). The obtained results show that the method can be used to constrain the free parameters of phenomenological models while properly taking into account the correlations existing among the parameters.
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Bogolubov, Nikolai N., and Andrey V. Soldatov. "Algebraic aspects of the driven dynamics in the density operator and correlation functions calculation for multi-level open quantum systems." International Journal of Modern Physics B 31, no. 32 (2017): 1850044. http://dx.doi.org/10.1142/s0217979218500443.

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Exact and approximate master equations were derived by the projection operator method for the reduced statistical operator of a multi-level quantum system with finite number N of quantum eigenstates interacting with arbitrary external classical fields and dissipative environment simultaneously. It was shown that the structure of these equations can be simplified significantly if the free Hamiltonian driven dynamics of an arbitrary quantum multi-level system under the influence of the external driving fields as well as its Markovian and non-Markovian evolution, stipulated by the interaction wit
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Nicassio, Nicola. "Physics programme of ALICE 3: A next-generation heavy-ion detector for LHC Run 5 and beyond." EPJ Web of Conferences 314 (2024): 00036. https://doi.org/10.1051/epjconf/202431400036.

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The ALICE Collaboration is designing a completely new apparatus, ALICE 3, for the LHC Runs 5 and 6. The detector comprises a large pixel-based tracking system covering eight units of pseudorapidity, complemented by various particle identification systems including silicon time-of-flight layers, a ring-imaging Cherenkov detector, a muon identification system, an electromagnetic calorimeter and a forward conversion tracker. ALICE 3 will, on the one hand, enable novel studies of the quark-gluon plasma (QGP) and, on the other hand, open up important physics opportunities in other areas of QCD and
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Decker, Lukas, Daniel Förster, Frank Gauterin, and Martin Doppelbauer. "Physics-Based and Data-Enhanced Model for Electric Drive Sizing during System Design of Electrified Powertrains." Vehicles 3, no. 3 (2021): 512–32. http://dx.doi.org/10.3390/vehicles3030031.

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In multi-drive electrified powertrains, the control strategy strongly influences the component load collectives. Due to this interdependency, the component sizing becomes a difficult task. This paper comprehensively analyses different electric drive system sizing methods for multi-drive systems in the literature. Based on this analysis, a new data-enhanced sizing approach is proposed. While the characteristic is depicted with a physics-based polynomial model, a data-enhanced limiting function ensures the parameter variation stays within a physically feasible range. Its beneficial value is demo
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Sahu, Nandini, Alister Graham, and Benjamin Davis. "The Morphology-dependent Black Hole–Host Galaxy Correlations: A Consequence of Physical Formation Processes." Acta Astrophysica Taurica 3, no. 1 (2021): 39–43. http://dx.doi.org/10.31059/aat.vol3.iss1.pp39-43.

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For decades, astronomers have been investigating how the central supermassive black hole (BH) may govern the host galaxy’s properties and vice versa. Our work adds another step to this study. We have performed state-of-theart 2D modeling and multi-component photometric decompositions of the largest-to-date sample of galaxies with dynamically-measured black hole masses (MBH). The multi-component decomposition allows us to accurately extract the bulge (spheroid) stellar luminosity/mass and structural parameters (also for other galaxy components) and provides detailed galaxy morphologies. We inve
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Dissertations / Theses on the topic "Multi-Physics correlations"

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Steinbauer, Jakob. "Multi-Orbital Physics in Materials with Strong Electronic Correlations : Hund's Coupling and Inter-Shell Interactions." Thesis, Université Paris-Saclay (ComUE), 2019. http://www.theses.fr/2019SACLX068/document.

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Les matériaux corrélés offrent une richesse de nouveaux phénomènes, dont beaucoup ne sont pas encore - ou seulement partiellement - compris. Au centre de cette thèse sont des modèles multi-orbitalaires que j'etudie à travers une palette de méthodes, dont la théorie du champ moyen dynamique. Dans le modèle de Hubbard multi-orbitalaire proche de la transition de Mott, je mets en évidence un régime de mauvais métal induit par le couplage de Hund. Les propriétés de la transition de Mott dans ce système sont analysées. Dans un deuxèime temps, je traite un modèle élargi pour inclure des degrés de li
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Fantou, Alexandre. "Étude multi-physique et multi-échelle de la réaction d'hydratation du sulfate de calcium hémihydraté." Electronic Thesis or Diss., Lyon, INSA, 2023. http://www.theses.fr/2023ISAL0099.

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En raison de leur capacité de prise, les liants hydrauliques sont utilisés à des fins très variées (e.g., matériaux de construction, substituts osseux, ...). La réaction de prise est toujours initiée par le mélange d'une ou plusieurs poudres fines avec une solution aqueuse. La dissolution des poudres réactives initiales entraîne la formation d'une pâte visqueuse, dont les propriétés évoluent avec le temps pour former une céramique poreuse monolithique par la nucléation et la précipitation de phase(s) plus stable(s). Dans le cadre de cette thèse, le plâtre CaSO4·2H2O obtenu par la réaction d'hy
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Sairajan, Kolasseri Kuttapan. "Correlation aspects of spacecraft and multi-physics finite element models." Thesis, University of Southampton, 2013. https://eprints.soton.ac.uk/359739/.

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Finite element analysis is widely used to predict the behaviour of complex structures such as spacecraft and/or multi-physics systems. The ‘quality’ of the Finite Element Model (FEM), defined as the capability of the model to simulate the behaviour of the real physical hardware, is assessed by comparing the analytical results with experimental data. In this thesis, Modal Assurance Criterion (MAC) and Normalised Cross Orthogonality (NCO) check are examined for their usefulness in the correlation of real spacecraft structures and then applied to multi physics systems using the results of the ‘tr
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Thomé, Erik. "Multi-Strange and Charmed Antihyperon-Hyperon Physics for PANDA." Doctoral thesis, Uppsala universitet, Kärnfysik, 2012. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-182450.

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The prospects of studying multi-strange and charmed antihyperon-hyperon physics and CP violation in hyperon decays in the upcoming PANDA experiment at FAIR, Germany, have been studied in this thesis. The angular dependence on polarisation parameters in the decay of the spin 3/2 Omega hyperon was calculated using the density matrix formalism. Expressions for the angular distributions in the Ω -> ΛK and the subsequent Λ -> pπ decays were derived. Simulations were performed for the pbar p -> Ξ+ Ξ-, pbar p -> Ω+Ω- and pbar p -> Λc-Λc+ reactions. Special attention was given to the re
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Schiessling, Joachim. "Angle-Dependent Electron Spectroscopy Studies of C60 Compounds and Carbon Nanotubes." Doctoral thesis, Uppsala universitet, Fysiska institutionen, 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3595.

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Fullerenes have been shown to constitute a prototypical building block for truly nanometer-sized devices and exotic nanounit-based materials, e.g., high-temperature superconductors. This makes the detailed understanding of fullerene electronic states in compounds and at interfaces of primary importance, since the high symmetry of the molecule greatly simplifies the starting point of the analysis. Carbon nanotubes, which combine one macroscopic with two nanoscopic dimensions, are perhaps of even greater practical interest. Angle-dependent electron spectroscopies have been employed in the prese
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Andgren, Karin. "Studies of collective phenomena in neutron deficient nuclei : by means of lifetime measurements, angular correlation measurements and the recoil decay tagging technique /." Doctoral thesis, KTH, Fysik, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-4693.

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Texier, Yoan. "Diagramme de phase et corrélations électroniques dans les supraconducteurs à base de Fer : une étude par RMN." Phd thesis, Université Paris Sud - Paris XI, 2013. http://tel.archives-ouvertes.fr/tel-00869743.

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La découverte en 2008 de supraconductivité à relativement haute température (Tc,max = 56K) dans les pnictures de Fer a ravivé les questions fondamentales sur l'origine et la nature de la supraconductivité posés par les supraconducteurs non conventionnels. En particulier, la présence d'une phase antiferromagnétique à proximité de celle supraconductrice dans leur diagramme de phase pose la question du lien entre magnétisme et supraconductivité. Ces supraconducteurs à base de Fe présentent un diagramme de phase générique, mais quelques exceptions remettent en question une description qui se voudr
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Schiessling, Joachim. "Angle-Dependent Electron Spectroscopy Studies of C60 Compounds and Carbon Nanotubes." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2003. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-3595.

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Diss. (sammanfattning) Uppsala : Univ., 2003.<br>Härtill 8 uppsatser. På titelsidan feltryck av serietitel: Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology.
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Andersson, Egil. "Multi-Electron Coincidence Studies of Atoms and Molecules." Doctoral thesis, Uppsala universitet, Mjukröntgenfysik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-122811.

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This thesis concerns multi-ionization coincidence measurements of atoms and small molecules using a magnetic bottle time-of-flight (TOF) spectrometer designed for multi-electron coincidence studies. Also, a time-of-flight mass spectrometer has been used together with the TOF electron  spectrometer for electron-ion coincidence measurements. The multi-ionization processes have been studied by employing a pulsed discharge lamp in the vacuum ultraviolet spectral region and synchrotron radiation in the soft X-ray region. The designs of the spectrometers are described in some detail, and several tim
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Hennen, John Andrew. "Registration Algorithms for Flash Inverse Synthetic Aperture LiDAR." University of Dayton / OhioLINK, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1576142937639181.

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Book chapters on the topic "Multi-Physics correlations"

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Zou, Haifeng, Songyu Liu, Guojun Cai, and Anand J. Puppala. "Multivariate Correlations Among SCPTU Parameters of Jiangsu Cohesionless Soils." In Proceedings of GeoShanghai 2018 International Conference: Multi-physics Processes in Soil Mechanics and Advances in Geotechnical Testing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0095-0_41.

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Stresing, R., M. Tutkun, and J. Peinke. "Spatial Multi-Point Correlations in Inhomogeneous Turbulence." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-02225-8_7.

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Stresing, R., J. Peinke, R. E. Seoud, and J. C. Vassilicos. "Multi-scale correlations in regular and fractal-generated turbulence." In Springer Proceedings in Physics. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-03085-7_172.

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Tan, Xiaohui, Muzi Hu, C. Hsein Juang, Peng Li, and Mengfen Shen. "Evaluation of the Auto-Correlation Distance of Unsaturated Soils." In Proceedings of GeoShanghai 2018 International Conference: Multi-physics Processes in Soil Mechanics and Advances in Geotechnical Testing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0095-0_16.

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Liang, Xiaocong, Xiaobing Guo, Xin Wang, Sheng Chen, and Deyong Wang. "Correlation Analysis of CPT Test Results and the Compaction Index for Calcareous Sand." In Proceedings of GeoShanghai 2018 International Conference: Multi-physics Processes in Soil Mechanics and Advances in Geotechnical Testing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0095-0_58.

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Liang, Xiaocong, Zhiguang Qin, Sheng Chen, and Deyong Wang. "CPT-SPT Correlation Analysis Based on BP Artificial Neural Network Associated with Partial Least Square Regression." In Proceedings of GeoShanghai 2018 International Conference: Multi-physics Processes in Soil Mechanics and Advances in Geotechnical Testing. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-0095-0_43.

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Liu, S., I. Grinberg, and A. M. Rappe. "Multiscale Simulations of Domains in Ferroelectrics." In Domain Walls. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198862499.003.0014.

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This chapter focuses on recent studies of ferroelectrics, where large-scale molecular dynamics (MD) simulations using first-principles-based force fields played a central role in revealing important physics inaccessible to direct density functional theory (DFT) calculations but critical for developing physically-based free energy functional for coarse-grained phase-field-type simulations. After reviewing typical atomistic potentials of ferroelectrics for MD simulations, the chapter describes a progressive theoretical framework that combines DFT, MD, and a mean-field theory. It then focuses on
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Yan, Hanting, Pan Mu, Cheng Huang, Jinglin Zhang, and Cong Bai. "Phy-CoCo: Physical Constraint-Based Correlation Learning for Tropical Cyclone Intensity and Size Estimation." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2024. http://dx.doi.org/10.3233/faia240744.

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Tropical Cyclone (TC) estimation aims to estimate various attributes of TC in real-time to alleviate and prevent disasters caused by violent TCs. As artificial intelligence technology advances, various deep learning-based multi-task estimation approaches have been proposed. However, most of them only focus on extracting common features of tasks, disregarding potential negative transfer and task interactions between different tasks. This paper is thus motivated to propose a Physical Constraint-based Correlation (Phy-CoCo) learning framework from the perspective of Multi-Task Learning (MTL). Spe
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Sony Priya, S., and R. I. Minu. "Insights on Building Quantum Convolutional Neural Networks." In Advances in Computational Intelligence and Robotics. IGI Global, 2025. https://doi.org/10.4018/979-8-3693-6225-9.ch012.

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The convolutional neural network (CNN) is a widely recognized model in computer vision due to its capability to utilize data correlation effectively. However, CNNs often face challenges when training on large datasets or dimensions. To address this, the Quantum Convolutional Neural Network (QCNN) introduces an innovative solution for CNN-based problems, specifically within quantum computing frameworks. By integrating CNN architecture into quantum environments, QCNN enhances the model's overall efficiency and functionality. This approach marks an initial effort to propose a solution for classif
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Conference papers on the topic "Multi-Physics correlations"

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George, Brinda, Georg M. Reuther, Ingolf Rau, and Bernhard Wunderle. "Crack Growth Modelling in Semiconductor Package Materials by Digital Image Correlation and Finite Element Methods." In 2025 26th International Conference on Thermal, Mechanical and Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE). IEEE, 2025. https://doi.org/10.1109/eurosime65125.2025.11006618.

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Woollam, Richard C., Ethan Proudlove, Michael Jones, Harvey M. Thompson, and Richard Barker. "Symbolic Regression Based Surrogate Modelling of a High-Fidelity Multiphysics CO2 Corrosion Model." In CONFERENCE 2025. AMPP, 2025. https://doi.org/10.5006/c2025-00433.

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Abstract A high-fidelity mechanistic carbon steel/carbon dioxide (CO2) corrosion prediction model developed at the University of Leeds has been implemented in the multi-physics (MP) software package COMSOL. The model integrates the bulk solution equilibria, interfacial mass transport and solution reactions, and surface anodic and cathodic electrochemical processes. In this work, the high-fidelity model is randomly sampled in the 5-input dimensions (bulk pH, temperature, CO2 partial pressure, piping velocity and diameter) using a Beta distribution, B(α, β), with the parameters α and β set to 12
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Roucou, R., V. Fiori, F. Cacho, K. Inal, and X. Boddaert. "Evaluation of probing process parameters and PAD designs: Experiments and modelling correlations for solving mechanical issues." In Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE). IEEE, 2010. http://dx.doi.org/10.1109/esime.2010.5464594.

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Kamiya, Tomohiro, Ayako Ono, Kenichi Tada, et al. "Development of JAEA Advanced Multi-Physics Analysis Platform for Nuclear Systems." In 2022 29th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/icone29-91828.

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Abstract JAEA (Japan Atomic Energy Agency) Advanced Multi-Physics Analysis platform for Nuclear systems (JAMPAN) has been developed for high-fidelity multi-physics simulation. This platform has good extensibility and modularity, enabling us to consider multi-physics and -scale phenomena in a nuclear power plant by combining various simulation codes. JAMPAN consists of a data container and physics components. The physics components can be freely connected and disconnected from the data container and contain common modules. Owing to the common modules, additional modules for an independent analy
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Zalavadia, H., V. Sabharwal, and S. Sankaran. "Continuous Bottomhole Pressure Estimation Using Machine Learning and Physics-Based Methods – A Field Case Study." In International Petroleum Technology Conference. IPTC, 2024. http://dx.doi.org/10.2523/iptc-24528-ms.

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Abstract Bottomhole pressure (BHP) has been increasingly integrated into modern workflows in characterizing subsurface reservoir, evaluating well production performance, and optimizing artificial lift designs for unconventional reservoirs. The increasing need for agile asset development planning demands robust and continuous well performance evaluation, for which bottomhole pressure lays the foundation. However, there are several challenges that most of the unconventional operators are facing. It is uneconomical to install permanent downhole pressure gauges and have continuous measurement thro
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Maupin, Kathryn A., Anh Tran, William E. Lewis, and Michael E. Glinsky. "Physics-Informed Multi-Output Surrogate Modeling of Fusion Simulations." In ASME 2023 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/detc2023-116989.

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Abstract Computational simulation allows scientists to explore, observe, and test physical regimes thought to be unattainable. Validation and uncertainty quantification play crucial roles in extrapolating the use of physics-based models. Bayesian analysis provides a natural framework for incorporating the uncertainties that undeniably exist in computational modeling. However, the ability to perform quality Bayesian and uncertainty analyses is often limited by the computational expense of first-principles physics models. In the absence of a reliable low-fidelity physics model, phenomenological
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Fiori, Vincent, Lau Teck Beng, Susan Downey, Sebastien Gallois-Garreignot, and Stephane Orain. "Gold Wire Bonding Induced Peeling in Cu/Low-k Interconnects: 3D Simulation and Correlations." In 2007 International Conference on Thermal, Mechanical and Multi-Physics Simulation Experiments in Microelectronics and Micro-Systems. EuroSime 2007. IEEE, 2007. http://dx.doi.org/10.1109/esime.2007.359947.

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Du, Jian, Ning Xu, Jianqin Zheng, Qi Liao, and Yongtu Liang. "A Theory-Consistent Multi-Modal Fused Neural Network for Predicting Mixed Oil Length Range in Multi-Product Pipeline." In 2024 15th International Pipeline Conference. American Society of Mechanical Engineers, 2024. https://doi.org/10.1115/ipc2024-129970.

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Abstract In the operation of a multi-product pipeline, a precise and effective prediction model for the contamination amount range is crucial to guide the formulation of the cutting plan. Existing methods, however, fail to extract clear feature correlations and overlook the implicit physical knowledge of mixed oil, leading to impractical prediction results. Therefore, this study integrating latent feature representations and scientific theory into the neural network to design a theory-consistent multi-modal fused neural network for predicting the mixed oil length range. The proposed model esta
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Wunderle, B., E. Dermitzaki, O. Holck, et al. "Molecular dynamics simulation and mechanical characterisation for the establishment of structure-property correlations for epoxy resins in microelectronics packaging applications." In 2009 10th International Conferene on Thermal, Mechanical and Multi-Physics simulation and Experiments in Microelectronics and Microsystems (EuroSimE). IEEE, 2009. http://dx.doi.org/10.1109/esime.2009.4938455.

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Howard, Jonathon, Peter Knudsen, and Abraham Engeda. "Empirical Loss Model Optimization for the Prediction of Centrifugal Compressor Off-Design Performance." In ASME Turbo Expo 2023: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2023. http://dx.doi.org/10.1115/gt2023-103013.

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Abstract Certain critical process applications, such as sub-atmospheric re-compression of cryogenic helium gas supporting particle physics and other scientific research, require operating multi-stage centrifugal compressors over a wide operating range. Customarily, turbomachines are designed for a specified design condition, but in these applications it is essential that these machines behave stably at off-steady-state-design conditions due to actual processes conditions and requirements that are inherently transient. Predictive algorithms have been developed which adopt various empirical corr
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