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This paper exploits the theory of geometric gradient flows to introduce an alternative regularization of the thin-film equation. The solution properties of this regularization are investigated via a sequence of numerical simulations whose…

流体动力学 · 物理学 2020-02-20 Darryl D. Holm , Lennon Ó Náraigh , Cesare Tronci

This paper presents a statistical model for stationary ergodic point processes, estimated from a single realization observed in a square window. With existing approaches in stochastic geometry, it is very difficult to model processes with…

机器学习 · 统计学 2022-09-16 Antoine Brochard , Bartłomiej Błaszczyszyn , Stéphane Mallat , Sixin Zhang

Mean-field games (MFGs) study the Nash equilibrium of systems with a continuum of interacting agents, which can be formulated as the fixed-point of optimal control problems. They provide a unified framework for a variety of applications,…

机器学习 · 统计学 2025-12-02 Jiajia Yu , Junghwan Lee , Yao Xie , Xiuyuan Cheng

This paper investigates model-order reduction methods for geometrically nonlinear structures. The parametrisation method of invariant manifolds is used and adapted to the case of mechanical systems expressed in the physical basis, so that…

数值分析 · 数学 2021-09-22 Alessandra Vizzaccaro , Andrea Opreni , Loïc Salles , Attilio Frangi , Cyril Touzé

The present research proposes a new memory-efficient method using diffusion models to inject turbulent inflow conditions into Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS) for various flow problems. A guided diffusion…

Many natural and industrial systems involve particle-laden interfaces. Because interfacial particles prevent the coalescence and coarsening of drops, they hold promise for various applications requiring stable emulsions. Despite their…

软凝聚态物质 · 物理学 2026-04-08 Alexandros T. Oratis , Matteo Camagna , Timo J. J. M. van Overveld , Valeria Garbin

An experimental investigation of secondary atomization of spray in plain-jet airblast atomizers with a circular array of six liquid jets is studied. Crossflow of air with controlled velocity and pressure is applied to transverse jets. The…

流体动力学 · 物理学 2021-06-10 Maziar Shafaee , Mohammad Hosein Sabour , Armin Abdehkakha , Abbas Elkaie

Atomization of emulsion droplets is ubiquitous across a variety of application domains ranging from NextGen combustors to fabrication of biomedical implants. An understanding of the atomization mechanism in emulsions can result in a…

流体动力学 · 物理学 2020-02-18 D. Chaitanya Kumar Rao , Saptarshi Basu

Emulsion fuels have the potential to reduce both particulate matter and NOx emissions and can potentially improve the efficiency of combustion engines. However, their limited stability remains a critical barrier to practical use as an…

Predicting the process of porosity-based ductile damage in polycrystalline metallic materials is an essential practical topic. Ductile damage and its precursors are represented by extreme values in stress and material state quantities, the…

材料科学 · 物理学 2023-08-09 Yinling Zhang , Nan Chen , Curt A. Bronkhorst , Hansohl Cho , Robert Argus

Due to the high complexity and technical requirements of industrial production processes, surface defects will inevitably appear, which seriously affects the quality of products. Although existing lightweight detection networks are highly…

计算机视觉与模式识别 · 计算机科学 2024-08-27 Xuyi Yu

Droplet patterns condensing on solid substrates (breath figures) tend to evolve into a self-similar regime, characterized by a bimodal droplet size distribution. The distributions comprise a bell-shaped peak of monodisperse large droplets,…

流体动力学 · 物理学 2015-10-28 L. Stricker , J. Vollmer

We demonstrate an approach to solving the coagulation equation that involves using a finite number of moments of the particle size distribution. This approach is particularly useful when only general properties of the distribution, and…

天体物理学 · 物理学 2009-11-13 Paul R. Estrada , Jeffrey N. Cuzzi

A high-order combined interpolation/finite element technique is developed for solving the coupled groundwater-surface water system that governs flows in karst aquifers. In the proposed high-order scheme we approximate the time derivative…

数值分析 · 数学 2025-05-28 Eric Ngondiep , Areej A. Binsultan , Ibtisam M. Aldawish

The unique properties of anisotropic and composite particles are increasingly being leveraged in modern particulate products. However, tailored synthesis of particles characterized by multi-dimensional dispersed properties remains in its…

偏微分方程分析 · 数学 2023-04-24 Adeel Muneer , Tobias Schikarski , Lukas Pflug

We propose a new model reduction technique for multiscale scalar transport problems that exhibit dominant axial dynamics. To this aim, we rely on the separation of variables to combine a Hierarchical Model (HiMod) reduction with a two-scale…

In global efforts to reduce harmful greenhouse gas emissions from the transport sector, novel bio-hybrid liquid fuels from renewable energy and carbon sources can be a major form of energy for future propulsion systems due to their high…

流体动力学 · 物理学 2021-11-11 A. Deshmukh , T. Grenga , M. Davidovic , L. Schumacher , J. Palmer , M. A. Reddemann , R. Kneer , H. Pitsch

We present and analyse an implicit-explicit timestepping procedure with finite element spatial approximation for a semilinear reaction-diffusion systems on evolving domains arising from biological models, such as Schnakenberg's (1979). We…

数值分析 · 数学 2013-09-20 Omar Lakkis , Anotida Madzvamuse , Chandrasekhar Venkataraman

We present a class of diffusion-based algorithms to draw samples from high-dimensional probability distributions given their unnormalized densities. Ideally, our methods can transport samples from a Gaussian distribution to a specified…

机器学习 · 计算机科学 2025-02-04 Anand Jerry George , Nicolas Macris

The mixing properties of vapor content, temperature and particle fields are of paramount importance in cloud turbulence as they pertain to essential processes, such as cloud water droplet evaporation and entrainment. Our study examines the…

流体动力学 · 物理学 2025-07-18 Vladyslav Pushenko , Simone Scollo , Patrice Meunier , Emmanuel Villermaux , Jörg Schumacher