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A unifying framework to describe dense flows of dry, deformable grains is proposed. Perturbative analysis of a granular temperature equation describing flows with contact stresses, supported by the recovery of the nonlocal granular fluidity…

Soft Condensed Matter · Physics 2026-01-06 Benjamin M. Alessio , Matthew R. Edwards , Ching-Yao Lai

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

Accurate and efficient fluid flow models are essential for applications relating to many physical phenomena including geophysical, aerodynamic, and biological systems. While these flows may exhibit rich and multiscale dynamics, in many…

Fluid Dynamics · Physics 2024-08-27 Benjamin D. Shaffer , Jeremy R. Vorenberg , M. Ani Hsieh

One major drawback of state-of-the-art artificial intelligence is its lack of explainability. One approach to solve the problem is taking causality into account. Causal mechanisms can be described by structural causal models. In this work,…

Machine Learning · Statistics 2021-09-07 Nico Reick , Felix Wiewel , Alexander Bartler , Bin Yang

The impact of statistical methodologies on studying groundwater has been significant in the last several decades, due to cheaper computational abilities and presence of technologies that enable us to extract and measure more and more data.…

Applications · Statistics 2025-06-02 Muralidharan K. , Agniva Das , Shrey Pandya , Jong Min Kim

Many traditional methods for wind turbine design and analysis assume quasi-steady aerodynamics, but atmospheric flows are inherently unsteady and modern turbine blades are susceptible to aeroelastic deformations. This study therefore…

Fluid Dynamics · Physics 2024-06-18 Nathaniel J. Wei , Omkar B. Shende

The critical task of inferring anomalous cross-field transport coefficients is addressed in simulations of boundary plasmas with fluid models. A workflow for parameter inference in the UEDGE fluid code is developed using Bayesian…

Plasma Physics · Physics 2025-07-09 Yichen Fu , Ben Dudson , Xiao Chen , Maxim Umansky , Filippo Scotti , Tom Rognlien , Anthony Leonard

We consider a class of growth models and models of turbulence based on the randomly stirred fluid. The similarity between the predictions of these models, noted a decade earlier, is understood on the basis of a stochastic quantization…

Statistical Mechanics · Physics 2007-05-23 Himadri S. Samanta , J. K. Bhattacharjee , D. Gangopadhyay

Two-dimensional turbulent flows, and to some extent, geophysical flows, are systems with a large number of degrees of freedom, which, albeit fluctuating, exhibit some degree of organization: coherent structures emerge spontaneously at large…

Statistical Mechanics · Physics 2017-03-21 Corentin Herbert

Many systems in physics, engineering, and biology exhibit multiscale stochastic dynamics, where low-dimensional slow variables evolve under the influence of high-dimensional fast processes. In practice, observations are often limited to a…

Machine Learning · Statistics 2026-05-12 Anan Saha , Arnab Ganguly

Business process models abstract complex business processes by representing them as graphical models. Their layout, solely determined by the modeler, affects their understandability. To support the construction of understandable models it…

Software Engineering · Computer Science 2017-01-18 Andrea Burattin , Vered Bernstein , Manuel Neurauter , Pnina Soffer , Barbara Weber

This paper proposes the TrafficFlowGAN, a physics-informed flow based generative adversarial network (GAN), for uncertainty quantification (UQ) of dynamical systems. TrafficFlowGAN adopts a normalizing flow model as the generator to…

Machine Learning · Computer Science 2022-10-18 Zhaobin Mo , Yongjie Fu , Daran Xu , Xuan Di

The rise in computational capability has increased reliance on simulations to inform aircraft design. However aircraft airworthiness testing for flight certification remains rooted in real-world experiments performed after manufacturing an…

Applications · Statistics 2022-03-28 Jayant Mukhopadhaya

Throughout the life sciences we routinely seek to interpret measurements and observations using parameterised mechanistic mathematical models. A fundamental and often overlooked choice in this approach involves relating the solution of a…

Quantitative Methods · Quantitative Biology 2023-11-10 Ryan J. Murphy , Oliver J. Maclaren , Matthew J. Simpson

White paper: The aim of this work is to apply and analyze machine learning methods for uncertainty quantification of turbulence models. In this work we investigate the classical and data-driven variants of the eigenspace perturbation…

Fluid Dynamics · Physics 2022-11-04 Marcel Matha , Karsten Kucharczyk

In this paper, we consider queueing systems where the dynamics are non-stationary and state-dependent. For performance analysis of these systems, fluid and diffusion models have been typically used. Although they are proven to be…

Probability · Mathematics 2016-09-08 Young Myoung Ko , Natarajan Gautam

In this investigation, we outline an enveloping models methodology for estimating structural uncertainty bounds on RANS closures. This methodology incorporates both eigenvalue and eigenvector perturbations in the spectral representation of…

Fluid Dynamics · Physics 2017-04-07 A. A. Mishra , G. Iaccarino

We consider the use of probabilistic neural networks for fluid flow {surrogate modeling} and data recovery. This framework is constructed by assuming that the target variables are sampled from a Gaussian distribution conditioned on the…

Fluid Dynamics · Physics 2020-10-14 Romit Maulik , Kai Fukami , Nesar Ramachandra , Koji Fukagata , Kunihiko Taira

Accurate and efficient prediction of multi-scale flows remains a formidable challenge. Constructing theoretical models and numerical methods often involves the design and optimization of parameters. While gradient descent methods have been…

Computational Physics · Physics 2026-02-10 Tianbai Xiao

The goal of this research is to derive an approach to assess uncertainty in an arbitrary volume conditioned by sampling data, without using geostatistical simulation. We have accomplished this goal by deriving an numerical tool suitable for…

Methodology · Statistics 2019-07-22 Alvaro I. Riquelme , Julian M. Ortiz