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Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…

We develop an enthalpy-based modeling and computational framework to quantify uncertainty in Stefan problems with an injection boundary. Inspired by airfoil icing studies, we consider a system featuring an injection boundary inducing domain…

Numerical Analysis · Mathematics 2024-02-06 Zhenyi Zhang , Shengbo Ma , Zhennan Zhou

Elastic contact in hydrodynamic environments is a complex multiphysics phenomenon and can be found in applications ranging from engineering to biological systems. Understanding the intricacies of this coupled problem requires the…

Fluid Dynamics · Physics 2024-09-17 Biswajeet Rath , Xiaoyu Mao , Rajeev K. Jaiman

Deep learning has been shown to be highly effective for automatic modulation classification (AMC), which is a pivotal technology for next-generation cognitive communications. Yet, existing deep learning methods for AMC often lack robust…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Huian Yang , Rajeev Sahay

Inverse uncertainty quantification (UQ) tasks such as parameter estimation are computationally demanding whenever dealing with physics-based models, and typically require repeated evaluations of complex numerical solvers. When partial…

Machine Learning · Computer Science 2025-12-19 Filippo Zacchei , Paolo Conti , Attilio Alberto Frangi , Andrea Manzoni

Uncertainty quantification (UQ) includes the characterization, integration, and propagation of uncertainties that result from stochastic variations and a lack of knowledge or data in the natural world. Monte Carlo (MC) method is a…

Methodology · Statistics 2020-11-03 Jiaxin Zhang

Uncertainty Quantification (UQ) is essential in probabilistic machine learning models, particularly for assessing the reliability of predictions. In this paper, we present a systematic framework for estimating both epistemic and aleatoric…

Machine Learning · Statistics 2025-09-11 Marzieh Ajirak , Anand Ravishankar , Petar M. Djuric

Particle-laden effects in high-speed flows require a coupled Euler and Lagrangian prediction technique with varying fidelity of thermochemical models, depending on the simulation conditions of interest. This requirement makes the…

Fluid Dynamics · Physics 2025-12-23 Hyeon Woo Nam , Tae Woong Jeong , Sung Min Jo

Currently, Eulerian flow solvers are very efficient in accurately resolving flow structures near solid boundaries. On the other hand, they tend to be diffusive and to dampen high-intensity vortical structures after a short distance away…

Numerical Analysis · Mathematics 2015-06-05 Artur Palha , Lento Manickathan , Carlos Simao Ferreira , Gerard van Bussel

Crystal plasticity finite element method (CPFEM) has been an integrated computational materials engineering (ICME) workhorse to study materials behaviors and structure-property relationships for the last few decades. These relations are…

Numerical Analysis · Mathematics 2023-12-04 Anh Tran , Pieterjan Robbe , Theron Rodgers , Hojun Lim

Quality-Diversity optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Manon Flageat , Antoine Cully

This work presents a unified numerical framework for simulating incompressible flows within the coupled fluid-porous-medium system and involving heat and solute transport and phase-changing process. A complete set of governing equations is…

Fluid Dynamics · Physics 2026-01-28 Rongfu Guo , Yantao Yang

This paper addresses uncertainty quantification (UQ) for problems where scalar (or low-dimensional vector) response quantities are insufficient and, instead, full-field (very high-dimensional) responses are of interest. To do so, an…

Probability · Mathematics 2018-04-18 D. G Giovanis , M. D. Shields

Large Language Models (LLMs) have demonstrated remarkable capabilities across various tasks due to large training datasets and powerful transformer architecture. However, the reliability of responses from LLMs remains a question.…

Computation and Language · Computer Science 2025-02-26 Tiejin Chen , Xiaoou Liu , Longchao Da , Jia Chen , Vagelis Papalexakis , Hua Wei

Neural network (NN) potentials promise highly accurate molecular dynamics (MD) simulations within the computational complexity of classical MD force fields. However, when applied outside their training domain, NN potential predictions can…

Chemical Physics · Physics 2023-07-28 Stephan Thaler , Gregor Doehner , Julija Zavadlav

Amid growing interest in machine learning, numerous data-driven models have recently been developed for Reynolds-averaged turbulence modelling. However, their results generally show that they do not give accurate predictions for test cases…

Fluid Dynamics · Physics 2025-05-20 Anthony Man , Mohammad Jadidi , Amir Keshmiri , Hujun Yin , Yasser Mahmoudi

Particle deposition in fully-developed turbulent pipe flow is quantified taking into account uncertainty in electric charge, van der Waals strength, and temperature effects. A framework is presented for obtaining variance-based sensitivity…

Fluid Dynamics · Physics 2024-03-28 Yuan Yao , Xun Huan , Jesse Capecelatro

Climate models are generally calibrated manually by comparing selected climate statistics, such as the global top-of-atmosphere energy balance, to observations. The manual tuning only targets a limited subset of observational data and…

Atmospheric and Oceanic Physics · Physics 2022-04-06 Michael F. Howland , Oliver R. A. Dunbar , Tapio Schneider

In this paper we present three multiphase flow models suitable for the study of the dynamics of compressible dispersed multiphase flows. We adopt the Eulerian approach because we focus our attention to dispersed (concentration smaller than…

Parametric uncertainty in nonlinear dynamical systems can fundamentally alter bifurcation behaviour, leading to qualitative response changes. Predicting operating margins/envelopes under such uncertainties is critical but challenging:…

Dynamical Systems · Mathematics 2026-03-27 Dongxiao Hong , David A. W. Barton , Simon A. Neild