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Efficient simulation of the Navier-Stokes equations for fluid flow is a long standing problem in applied mathematics, for which state-of-the-art methods require large compute resources. In this work, we propose a data-driven approach that…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Jonathan Tompson , Kristofer Schlachter , Pablo Sprechmann , Ken Perlin

In order to predict future performance of subsurface fluid reservoirs under possible operating scenarios, a dynamic, porous-medium flow simulation model must be tuned to include representative properties of the reservoir. Estimating…

Geophysics · Physics 2026-02-04 Zhen Zhang , Xuebin Zhao , Andrew Curtis

We present a method, Neural Radiance Flow (NeRFlow),to learn a 4D spatial-temporal representation of a dynamic scene from a set of RGB images. Key to our approach is the use of a neural implicit representation that learns to capture the 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-09-07 Yilun Du , Yinan Zhang , Hong-Xing Yu , Joshua B. Tenenbaum , Jiajun Wu

Realistic simulation of dynamic scenes requires accurately capturing diverse material properties and modeling complex object interactions grounded in physical principles. However, existing methods are constrained to basic material types…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Zhuoman Liu , Weicai Ye , Yan Luximon , Pengfei Wan , Di Zhang

Data-driven learning approaches for physics simulation, sometimes referred to as world models, have emerged as promising alternatives to traditional physics simulators due to their differentiable nature. Prior work has demonstrated…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Chanho Kim , Suhas V. Sumukh , Li Fuxin

Taking inspiration from physical motion, we present a new self-supervised dynamics learning strategy for videos: Video Time-Differentiation for Instance Discrimination (ViDiDi). ViDiDi is a simple and data-efficient strategy, readily…

Computer Vision and Pattern Recognition · Computer Science 2024-09-10 Siyi Chen , Minkyu Choi , Zesen Zhao , Kuan Han , Qing Qu , Zhongming Liu

We present a method to estimate depth of a dynamic scene, containing arbitrary moving objects, from an ordinary video captured with a moving camera. We seek a geometrically and temporally consistent solution to this underconstrained…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Zhoutong Zhang , Forrester Cole , Richard Tucker , William T. Freeman , Tali Dekel

Thin cylindrical membranes arise in a wide variety of biological systems ranging from tubular structures on and within cell membranes to in-vitro experiments on artificial vesicles. Motor proteins embedded in such fluidic membranes often…

Fluid Dynamics · Physics 2025-07-09 Udaya Maurya , Surya Teja Gavva , Arpan Saha , Rickmoy Samanta

The task of video prediction and generation is known to be notoriously difficult, with the research in this area largely limited to short-term predictions. Though plagued with noise and stochasticity, videos consist of features that are…

Machine Learning · Computer Science 2023-01-10 Alexey Zakharov , Qinghai Guo , Zafeirios Fountas

We address the challenging problem of jointly inferring the 3D flow and volumetric densities moving in a fluid from a monocular input video with a deep neural network. Despite the complexity of this task, we show that it is possible to…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Aleksandra Franz , Barbara Solenthaler , Nils Thuerey

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan

The advantage of particle Lagrangian methods in computational fluid dynamics is that advection is accurately modeled. However, this complicates the calculation of space derivatives. If a mesh is employed, it must be updated at each time…

Fluid Dynamics · Physics 2017-01-27 Daniel Duque , Pep Español

The use of deep learning methods for modeling fluid flow has drawn a lot of attention in the past few years. In situations where conventional numerical approaches can be computationally expensive, these techniques have shown promise in…

Predicting the future in real-world settings, particularly from raw sensory observations such as images, is exceptionally challenging. Real-world events can be stochastic and unpredictable, and the high dimensionality and complexity of…

Computer Vision and Pattern Recognition · Computer Science 2018-03-07 Mohammad Babaeizadeh , Chelsea Finn , Dumitru Erhan , Roy H. Campbell , Sergey Levine

Modelling incompressible ideal fluids as a finite collection of vortex filaments is important in physics (super-fluidity, models for the onset of turbulence) as well as for numerical algorithms used in computer graphics for the real time…

Exactly Solvable and Integrable Systems · Physics 2007-10-10 Ulrich Pinkall , Boris Springborn , Steffen Weissmann

We present High-Density Visual Particle Dynamics (HD-VPD), a learned world model that can emulate the physical dynamics of real scenes by processing massive latent point clouds containing 100K+ particles. To enable efficiency at this scale,…

Machine Learning · Computer Science 2024-07-01 William F. Whitney , Jacob Varley , Deepali Jain , Krzysztof Choromanski , Sumeet Singh , Vikas Sindhwani

We present hidden fluid mechanics (HFM), a physics informed deep learning framework capable of encoding an important class of physical laws governing fluid motions, namely the Navier-Stokes equations. In particular, we seek to leverage the…

Computational Engineering, Finance, and Science · Computer Science 2018-08-20 Maziar Raissi , Alireza Yazdani , George Em Karniadakis

Realistic simulation is critical for applications ranging from robotics to animation. Learned simulators have emerged as a possibility to capture real world physics directly from video data, but very often require privileged information…

Graphics · Computer Science 2025-08-12 Mikel Zhobro , Andreas René Geist , Georg Martius

Developing reduced-order models applicable to fluid-dynamics problems involving complex geometries and different flow conditions remains a critical challenge for turbulent flows. This study introduces VIVALDy, a novel machine-learning…

In the present contribution, we construct a virtual element (VE) discretization for the problem of miscible displacement of one incompressible fluid by another, described by a time-dependent coupled system of nonlinear partial differential…

Numerical Analysis · Mathematics 2019-07-31 Lourenco Beirao da Veiga , Alexander Pichler , Giuseppe Vacca