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In this paper, we propose and analyze a second order accurate (in both time and space) numerical scheme for the Poisson-Nernst-Planck-Navier-Stokes system, which describes the ion electro-diffusion in fluids. In particular, the…

Numerical Analysis · Mathematics 2025-03-12 Yuzhe Qin , Cheng Wang

In this work we extended an energy-integrated neutrino transport method to facilitate efficient, yet precise, modeling of compact astrophysical objects. We particularly focus on core-collapse supernovae. We implemented a gray…

High Energy Astrophysical Phenomena · Physics 2024-07-03 Haakon Andresen , Evan P. O'Connor , Oliver Eggenberger Andersen , Sean M. Couch

Elliptic flow ($v_2$) in ultrarelativistic nucleus-nucleus collisions fluctuates event to event, both in magnitude and in orientation with respect to the reaction plane. Even though the reaction plane is not known event to event in…

Nuclear Theory · Physics 2019-03-05 Rajeev S. Bhalerao , Giuliano Giacalone , Jean-Yves Ollitrault

We present a novel up-resing technique for generating high-resolution liquids based on scene flow estimation using deep neural networks. Our approach infers and synthesizes small- and large-scale details solely from a low-resolution…

Graphics · Computer Science 2021-12-15 Bruno Roy , Pierre Poulin , Eric Paquette

Most fluid flow problems that are vital in engineering applications involve at least one of the following features: turbulence, shocks, and/or material interfaces. While seemingly different phenomena, these flows all share continuous…

Fluid Dynamics · Physics 2019-01-01 Bahman Aboulhasanzadeh , Kamran Mohseni

Despite the progress of learning-based methods for 6D object pose estimation, the trade-off between accuracy and scalability for novel objects still exists. Specifically, previous methods for novel objects do not make good use of the target…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Sungphill Moon , Hyeontae Son , Dongcheol Hur , Sangwook Kim

Physics-Informed Neural Networks (PINNs) have gained widespread popularity for solving inverse and forward problems across a range of scientific and engineering domains. However, most existing PINN frameworks are limited to the Eulerian…

Fluid Dynamics · Physics 2025-04-15 Sukirt Thakur , Maziar Raissi

In image restoration, single-step discriminative mappings often lack fine details via expectation learning, whereas generative paradigms suffer from inefficient multi-step sampling and noise-residual coupling. To address this dilemma, we…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Zihao Fan , Xin Lu , Jie Xiao , Dong Li , Jie Huang , Xueyang Fu

Numerical simulation of compressible fluid flows is performed using the Euler equations. They include the scalar advection equation for the density, the vector advection equation for the velocity and a given pressure dependence on the…

Computational Engineering, Finance, and Science · Computer Science 2018-01-22 Petr N. Vabishchevich

We reframe scene flow as the task of estimating a continuous space-time ODE that describes motion for an entire observation sequence, represented with a neural prior. Our method, EulerFlow, optimizes this neural prior estimate against…

Computer Vision and Pattern Recognition · Computer Science 2025-12-08 Kyle Vedder , Neehar Peri , Ishan Khatri , Siyi Li , Eric Eaton , Mehmet Kocamaz , Yue Wang , Zhiding Yu , Deva Ramanan , Joachim Pehserl

The two key characteristics of a normalizing flow is that it is invertible (in particular, dimension preserving) and that it monitors the amount by which it changes the likelihood of data points as samples are propagated along the network.…

Machine Learning · Computer Science 2023-01-27 Bálint Máté , Samuel Klein , Tobias Golling , François Fleuret

The planned in-ice radio array of IceCube-Gen2 at the South Pole will provide unprecedented sensitivity to ultra-high-energy (UHE) neutrinos in the EeV range. The ability of the detector to measure the neutrino's energy and direction is of…

High Energy Astrophysical Phenomena · Physics 2023-08-02 Nils Heyer , Christian Glaser , Thorsten Glüsenkamp

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

Computational Physics · Physics 2018-04-10 Boris Krasnopolsky

We consider flow-structure interactions modeled by a modified wave equation coupled at an interface with equations of nonlinear elasticity. Both subsonic and supersonic flow velocities are treated with Neumann type flow conditions, and a…

Analysis of PDEs · Mathematics 2013-11-08 Igor Chueshov , Irena Lasiecka , Justin T. Webster

We propose a novel data augmentation approach, DistractFlow, for training optical flow estimation models by introducing realistic distractions to the input frames. Based on a mixing ratio, we combine one of the frames in the pair with a…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Jisoo Jeong , Hong Cai , Risheek Garrepalli , Fatih Porikli

A variational formulation is introduced for the Oseen equations written in terms of vor\-ti\-city and Bernoulli pressure. The velocity is fully decoupled using the momentum balance equation, and it is later recovered by a post-process. A…

Numerical Analysis · Mathematics 2021-11-04 Veronica Anaya , David Mora , Amiya K. Pani , Ricardo Ruiz-Baier

This paper contributes to the exploration of a recently introduced computational paradigm known as second-order flows, which are characterized by novel dissipative hyperbolic partial differential equations extending accelerated gradient…

Numerical Analysis · Mathematics 2025-05-13 Haifan Chen , Guozhi Dong , José A. Iglesias , Wei Liu , Ziqing Xie

This paper introduces multidimensional algorithms for simulating multiphase flows, leveraging the wave structure of the Euler equations in characteristic space and the physical properties of variables in physical space. The algorithm…

Fluid Dynamics · Physics 2026-04-07 Amareshwara Sainadh Chamarthi

Flow cytometry is a valuable technique that measures the optical properties of particles at a single-cell resolution. When deployed in the ocean, flow cytometry allows oceanographers to study different types of photosynthetic microbes…

Methodology · Statistics 2026-04-02 Ethan Pawl , François Ribalet , Paul A. Parker , Sangwon Hyun

Normalizing flows are powerful non-parametric statistical models that function as a hybrid between density estimators and generative models. Current learning algorithms for normalizing flows assume that data points are sampled…

Machine Learning · Computer Science 2023-05-31 Matthias Kirchler , Christoph Lippert , Marius Kloft