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Integral equation theory is applied to a coarse-grained model of water to study potential of mean force between hydrophobic solutes. Theory is shown to be in good agreement with the available simulation data for methane-methane and…

Soft Condensed Matter · Physics 2015-05-28 S. A. Egorov

It is shown that the hydrodynamic modes of a dilute granular gas of inelastic hard spheres can be identified, and calculated in the long wavelength limit. Assuming they dominate at long times, formal expressions for the Navier-Stokes…

Statistical Mechanics · Physics 2009-11-10 J. Javier Brey , M. J. Ruiz-Montero , P. Maynar , I. Garcia de Soria

Emergent phenomena share the fascinating property of not being obvious consequences of the design of the system in which they appear. This characteristic is no less relevant when attempting to simulate such phenomena, given that the outcome…

Soft Condensed Matter · Physics 2014-11-26 D. C. Rapaport

The dual continuum model serves as a powerful tool in the modeling of subsurface applications. It allows a systematic coupling of various components of the solutions. The system is of multiscale nature as it involves high heterogeneous and…

Numerical Analysis · Mathematics 2018-07-31 Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Wing Tat Leung , Maria Vasilyeva

Flow matching has recently emerged as a promising alternative to diffusion-based generative models, offering faster sampling and simpler training by learning continuous flows governed by ordinary differential equations. Despite growing…

Machine Learning · Computer Science 2025-12-02 Mudit Gaur , Prashant Trivedi , Shuchin Aeron , Amrit Singh Bedi , George K. Atia , Vaneet Aggarwal

This study introduces a hybrid fluid simulation approach that integrates generative diffusion models with physics-based simulations, aiming at reducing the computational costs of flow simulations while still honoring all the physical…

Importance sampling algorithms are discussed in detail, with an emphasis on implicit sampling, and applied to data assimilation via particle filters. Implicit sampling makes it possible to use the data to find high-probability samples at…

Computation · Statistics 2015-06-02 Alexandre J. Chorin , Fei Lu , Robert N. Miller , Matthias Morzfeld , Xuemin Tu

Fluid dynamics plays a crucial role in various multiphysics applications, including energy systems, electronics cooling, and biomedical engineering. Developing models for complex coupled systems can be challenging and time-consuming. In…

Computational Engineering, Finance, and Science · Computer Science 2024-12-09 Markus Lohmayer , Michael Kraus , Sigrid Leyendecker

Finite element models without simplifying assumptions can accurately describe the spatial and temporal distribution of heat in machine tools as well as the resulting deformation. In principle, this allows to correct for displacements of the…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Andreas Naumann , Daniel Ruprecht , Joerg Wensch

Particle filters are computational techniques for estimating the state of dynamical systems by integrating observational data with model predictions. This work introduces a class of Localized Particle Filters (LPFs) that exploit spatial…

Applications · Statistics 2025-07-10 Dan Crisan , Eliana Fausti

We present the state-of-the-art theoretical modeling, molecular simulation, and coarse-graining strategies for the transport of gases and liquids in nanoporous materials (pore size 1-100 nm). Special emphasis is placed on the transport of…

Soft Condensed Matter · Physics 2025-01-29 Alexander Schlaich , Jean-Louis Barrat , Benoit Coasne

We study mixed finite element methods for the rotating shallow water equations with linearized momentum terms but nonlinear drag. By means of an equivalent second-order formulation, we prove long-time stability of the system without energy…

Numerical Analysis · Mathematics 2017-06-06 Colin J. Cotter , P. Jameson Graber , Robert C. Kirby

In last decades, solar stills, as one of the solar desalination technologies, have been well studied in terms of their productivity, efficiency and economics. Recently, to overcome the bottleneck of traditional solar still, improving solar…

Recent theoretical works exploring the hydrodynamics of soft material in non-equilibrium situations are reviewed. We discuss the role of hydrodynamic interactions for three different systems: i) the deformation and orientation of…

Soft Condensed Matter · Physics 2012-03-08 Manoel Manghi , Xaver Schlagberger , Yong-Woon Kim , Roland R. Netz

Recent work has suggested enhancing Bloom filters by using a pre-filter, based on applying machine learning to determine a function that models the data set the Bloom filter is meant to represent. Here we model such learned Bloom filters,,…

Machine Learning · Computer Science 2019-01-07 Michael Mitzenmacher

Computer simulations of amphiphilic systems are reviewed. Research areas cover a wide range of length and time scales, and a whole hierarchy of models and methods has been developed to address them all. They range from atomistically…

Soft Condensed Matter · Physics 2009-09-25 Friederike Schmid

To capture specific characteristics of non-Newtonian fluids, during the past years fractional constitutive models have become increasingly popular. These models are able to capture in a simple and compact way the complex behaviour of…

Fluid Dynamics · Physics 2023-11-23 Luca Santelli , Adolfo Vazquez-Quesada , Marco Ellero

Modeling environmental ecosystems is essential for effective resource management, sustainable development, and understanding complex ecological processes. However, traditional data-driven methods face challenges in capturing inherently…

Machine Learning · Computer Science 2025-04-08 Runlong Yu , Shengyu Chen , Yiqun Xie , Huaxiu Yao , Jared Willard , Xiaowei Jia

A brief review is presented of the scaling of complex fluids, polymers and polyelectrolytes in solution and in confined geometry, in thermodynamical, structural and rheology properties using equilibrium and nonequilibrium dissipative…

Soft Condensed Matter · Physics 2016-12-06 Armando Gama Goicochea

This paper studies global existence, hydrodynamic limit, and large-time behavior of weak solutions to a kinetic flocking model coupled to the incompressible Navier-Stokes equations. The model describes the motion of particles immersed in a…

Analysis of PDEs · Mathematics 2013-11-25 J. A. Carrillo , Y. -P. Choi , T. K. Karper