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Flow matching has emerged as a simulation-free alternative to diffusion-based generative modeling, producing samples by solving an ODE whose time-dependent velocity field is learned along an interpolation between a simple source…

Machine Learning · Statistics 2026-04-10 Shivam Kumar , Yixin Wang , Lizhen Lin

The Surface Water and Ocean Topography (SWOT) mission provides two-dimensional sea surface height (SSH) maps at unprecedented resolution, but its signal is a combination of balanced meso- and submesoscale turbulence, unbalanced internal…

Atmospheric and Oceanic Physics · Physics 2025-12-04 Jack William Skinner , Jörn Callies , Albion Lawrence , Xihan Zhang

Modeling and simulating overland flow fed by rainfall is a common issue in watershed surface hydrology. Modelers have to choose among various friction models when defining their simulation framework. The purpose of this work is to compare…

Fluid Dynamics · Physics 2016-09-16 G. Kirstetter , J. Hu , O. Delestre , F. Darboux , P. -Y. Lagrée , S. Popinet , J. -M. Fullana , C. Josserand

Watershed models such as the Soil and Water Assessment Tool (SWAT) consist of high-dimensional physical and empirical parameters. These parameters need to be accurately calibrated for models to produce reliable predictions for streamflow,…

Machine Learning · Computer Science 2021-10-08 M. K. Mudunuru , K. Son , P. Jiang , X. Chen

When a fluid flows over a solid surface, it creates a thin boundary layer where the flow velocity is influenced by the surface through viscosity, and can transition from laminar to turbulent at sufficiently high speeds. Understanding and…

Fluid Dynamics · Physics 2024-10-24 Matthew Bonas , David H. Richter , Stefano Castruccio

The background of this work is the problem of reducing the aerodynamic turbulent friction drag, which is an important source of energy waste in innumerable technological fields. We develop a theoretical framework aimed at predicting the…

Fluid Dynamics · Physics 2013-01-23 Marco Belan , Maurizio Quadrio

A numerical method based upon the immersed boundary technique for the fluid-solid coupling and on a soft-sphere approach for solid-solid contact is used to perform direct numerical simulation of the flow-induced motion of a thick bed of…

Fluid Dynamics · Physics 2014-10-01 Aman G. Kidanemariam , Markus Uhlmann

In this paper, using the standard truncated Painleve analysis, the Schwartzian equation of (2+1)-dimensional generalised variable coefficient shallow water wave (SWW)equation is obtained. With the help of lax pairs, nonlocal symmetries of…

Exactly Solvable and Integrable Systems · Physics 2019-01-23 Xiangpeng Xin , Linlin Zhang , Yarong Xia , Hanze Liu

There is growing interest in developing mathematical models and appropriate numerical methods for problems involving networks formed by, essentially, one-dimensional (1D) domains joined by junctions. Examples include hyperbolic equations in…

Numerical Analysis · Mathematics 2017-08-08 Francesca Bellamoli , Lucas Omar Müller , Eleuterio Francisco Toro

The derivation of shallow water models from Navier-Stokes equations is revisited yielding a class of two-layer shallow water models.An improved velocity profile is proposed, based on the superposition of an ideal fluid and a viscous layer…

Analysis of PDEs · Mathematics 2018-06-11 François James , Pierre-Yves Lagrée , Hoang-Minh Le , Mathilde Legrand

The wall shear stress is a quantity of profound importance for clinical diagnosis of artery diseases. The lattice Boltzmann is an easily parallelizable numerical method of solving the flow problems, but it suffers from errors of the…

Computational Physics · Physics 2013-05-17 Maciej Matyka , Zbigniew Koza , Łukasz Mirosław

Accurately modeling wind turbine wakes is essential for optimizing wind farm performance but remains a persistent challenge. While the dynamic wake meandering (DWM) model captures unsteady wake behavior, it suffers from near-wake…

Fluid Dynamics · Physics 2025-06-18 Ding Wang , Dachuan Feng , Kangcheng Zhou , Yuntian Chen , Shijun Liao , Shiyi Chen

Flow and transport are studied in transparent model fractures with rough complementary self-affine walls with a relative shear displacement $\vec{u}$. The aperture field is shown to display long range correlations perpendicular to…

The sliding window model generalizes the standard streaming model and often performs better in applications where recent data is more important or more accurate than data that arrived prior to a certain time. We study the problem of…

Data Structures and Algorithms · Computer Science 2021-09-06 Vladimir Braverman , Viska Wei , Samson Zhou

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

Analysis of PDEs · Mathematics 2019-10-22 Edoardo Bocchi

We introduce and analyse a new nonparametric estimator of a multi-dimensional density. Our smooth projection estimator (SPE) is defined by a least squares projection of the sample onto an infinite dimensional mixture class via an…

Methodology · Statistics 2014-11-25 Heather Battey , Han Liu

The non-equilibrium high-speed compressible flows present wealthy applications in engineering and science. With the deepening of Thermodynamic Non-Equilibrium (TNE), higher-order non-conserved kinetic moments of the distribution function…

Fluid Dynamics · Physics 2022-09-07 Dejia Zhang , Aiguo Xu , Yudong Zhang , Yanbiao Gan , Yingjun Li

The partial differential equations describing compressible fluid flows can be notoriously difficult to resolve on a pragmatic scale and often require the use of high performance computing systems and/or accelerators. However, these systems…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-24 Anthony S. Walker , Kyle E. Niemeyer

We propose an image-based flow decomposition developed from the two-dimensional (2D) tensor empirical wavelet transform (EWT) (Gilles 2013). The idea is to decompose the instantaneous flow data, or its visualisation, adaptively according to…

Fluid Dynamics · Physics 2020-12-24 Jie Ren , Xuerui Mao , Song Fu

We present here numerical modelling of granular flows with the $\mu(I)$ rheology in confined channels. The contribution is twofold: (i) a model to approximate the Navier-Stokes equations with the $\mu(I)$ rheology through an asymptotic…

Soft Condensed Matter · Physics 2018-01-17 E. D. Fernández-Nieto , J. Garres-Díaz , A. Mangeney , G. Narbona-Reina