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State estimation is key to both analyzing physical mechanisms and enabling real-time control of fluid flows. A common estimation approach is to relate sensor measurements to a reduced state governed by a reduced-order model (ROM). (When…

Fluid Dynamics · Physics 2020-06-10 Nirmal J. Nair , Andres Goza

Thermodynamic equations of state (EOS) are essential for many industries as well as in academia. Even leaving aside the expensive and extensive measurement campaigns required for the data acquisition, the development of EOS is an intensely…

Machine Learning · Computer Science 2023-09-07 Viktor Martinek , Ophelia Frotscher , Markus Richter , Roland Herzog

In contrast to the gaseous and the solid states, the liquid state does not have a simple model that could be developed into a quantitative theory. A central issue in the understanding of liquids is to estimate the energy state of liquids.…

Soft Condensed Matter · Physics 2017-03-09 Lianwen Wang

Machine learning has emerged as a potent computational tool for expediting research and development in solid oxide fuel cell electrodes. The effective application of machine learning for performance prediction requires transforming…

Materials Science · Physics 2025-03-19 Maksym Szemer , Szymon Buchaniec , Tomasz Prokop , Grzegorz Brus

A statistical model for the equation of state (EOS) and the composition of supernova matter is presented with focus on the liquid-gas phase transition of nuclear matter. It consists of an ensemble of nuclei and interacting nucleons in…

Nuclear Theory · Physics 2012-11-27 Matthias Hempel , Jürgen Schaffner-Bielich

As a first step toward a multi-phase equation of state for dense water, we develop a temperature-dependent equation of state for dense water covering the liquid and plasma regimes and extending to the super-ionic and gas regimes. This…

Earth and Planetary Astrophysics · Physics 2021-08-31 S. Mazevet , A. Licari , G. Chabrier , A. Y. Potekhin

Artificial intelligence (AI) for fluid mechanics has become attractive topic. High-fidelity data is one of most critical issues for the successful applications of AI in fluid mechanics, however, it is expensively obtained or even…

Machine Learning · Computer Science 2025-09-03 Ruilin Chen

By using canonical Monte Carlo simulation, the liquid-vapor phase diagram, surface tension, interface width, and pressure for the Mie(n,m) model fluids are calculated for six pairs of parameters $m$ and $n$. It is shown that after certain…

Statistical Mechanics · Physics 2008-11-03 Pedro Orea , Yuri Reyes-Mercado , Yurko Duda

The challenges in operational flood forecasting lie in producing reliable forecasts given constrained computational resources and within processing times that are compatible with near-real-time forecasting. Flood hydrodynamic models exploit…

Image and Video Processing · Electrical Eng. & Systems 2023-10-25 Thanh Huy Nguyen , Sophie Ricci , Andrea Piacentini , Quentin Bonassies , Raquel Rodriguez Suquet , Santiago Peña Luque , Kevin Marlis , Cédric David

The high-temperature and high-pressure equations of states (EOSs) of rhenium up to 3000 K and 900 GPa are predicted by a recently developed method in the framework of statistical ensemble theory with \textit{ab initio} computational…

Materials Science · Physics 2024-12-09 Yue-Yue Tian , Hui-fen Zhang , Bo-Yuan Ning , Xi-Jing Ning

Recently, the theoretical framework of stochastic thermodynamics has been revealed to be useful for macroscopic systems. However, despite its conceptual and practical importance, the connection to hydrodynamics has yet to be explored. In…

Statistical Mechanics · Physics 2024-06-21 Kohei Yoshimura , Sosuke Ito

Fluids under nanoscale confinement differ -- and often dramatically -- from their bulk counterparts. A notorious feature of nanoconfined fluids is their inhomogeneous density profile along the confining dimension, which plays a key role in…

Soft Condensed Matter · Physics 2025-08-26 Yuanhao Li

We contribute to the vastly growing field of machine learning for engineering systems by demonstrating that equivariant graph neural networks have the potential to learn more accurate dynamic-interaction models than their non-equivariant…

Machine Learning · Computer Science 2023-04-04 Artur P. Toshev , Gianluca Galletti , Johannes Brandstetter , Stefan Adami , Nikolaus A. Adams

We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of…

Statistical Mechanics · Physics 2009-11-07 Nicolas Hadjiconstantinou , Alejandro L. Garcia , Martin Z. Bazant , Gang He

A good representation of mesoscopic fluids is required to combine with molecular simulations at larger length and time scales (De Fabritiis {\it et. al}, Phys. Rev. Lett. 97, 134501 (2006)). However, accurate computational models of the…

Fluid Dynamics · Physics 2015-06-26 G. De Fabritiis , M. Serrano , R. Delgado-Buscalioni , P. V. Coveney

Spatio-temporal data and processes are prevalent across a wide variety of scientific disciplines. These processes are often characterized by nonlinear time dynamics that include interactions across multiple scales of spatial and temporal…

Machine Learning · Statistics 2017-08-18 Patrick L. McDermott , Christopher K. Wikle

We contribute a publicly available set of tables and code to provide Equations of State (EoS) for matter at neutron star densities. Our EoSes are constrained only by input from hadron physics and fundamental principles, without feedback…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Eva Lope Oter , Andreas Windisch , Felipe J. Llanes-Estrada , Mark Alford

The development of a wall model using machine learning methods for the large-eddy simulation (LES) of separated flows is still an unsolved problem. Our approach is to leverage the significance of separated flow data, for which existing…

Fluid Dynamics · Physics 2024-12-25 Zhideng Zhou , Xin-lei Zhang , Guo-wei He , Xiaolei Yang

The application machine learning (ML) algorithms to turbulence modeling has shown promise over the last few years, but their application has been restricted to eddy viscosity based closure approaches. In this article we discuss rationale…

Fluid Dynamics · Physics 2021-05-31 J. P. Panda , H. V. Warrior

The crust-core phase transition of neutron stars is quantitatively studied within a unified meta-modelling of the nuclear Equation of State (EoS). The variational equations in the crust are solved within a Compressible Liquid Drop (CLD)…

Nuclear Theory · Physics 2019-12-04 Thomas Carreau , Francesca Gulminelli , Jérôme Margueron
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