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This paper presents a novel adjoint solver for differentiable fluid simulation based on bidirectional flow maps. Our key observation is that the forward fluid solver and its corresponding backward, adjoint solver share the same flow map as…

Graphics · Computer Science 2025-11-04 Zhiqi Li , Jinjin He , Barnabás Börcsök , Taiyuan Zhang , Duowen Chen , Tao Du , Ming C. Lin , Greg Turk , Bo Zhu

Flow fields are often represented by a set of static arrows to illustrate scientific vulgarization, documentary film, meteorology, etc. This simple schematic representation lets an observer intuitively interpret the main properties of a…

Graphics · Computer Science 2012-05-24 Bruno Jobard , Nicolas Ray , Dmitry Sokolov

Particle methods play an important role in computational fluid dynamics, but they are among the most difficult to implement and solve. The most common method is smoothed particle hydrodynamics, which is suitable for problem settings that…

Fluid Dynamics · Physics 2025-08-26 Masato Shibukawa , Naoya Ozaki , Maximilien Berthet

We present the results of large scale simulations of 4th order nonlinear partial differential equations of dif- fusion type that are typically encountered when modeling dynamics of thin fluid films on substrates. The simulations are based…

Fluid Dynamics · Physics 2018-06-28 Michael-Angelo Y. -H. Lam , Linda J. Cummings , Lou Kondic

Consider the three-dimensional flow of a viscous Newtonian fluid upon an abitrarily curved substrate when the fluid film is thin as occurs in many draining, coating and biological flows. We derive a model of the dynamics of the film, the…

patt-sol · Physics 2008-02-03 R. Valery Roy , A. J. Roberts , M. E. Simpson

We introduce Gaussian-Flow, a novel point-based approach for fast dynamic scene reconstruction and real-time rendering from both multi-view and monocular videos. In contrast to the prevalent NeRF-based approaches hampered by slow training…

Computer Vision and Pattern Recognition · Computer Science 2023-12-07 Youtian Lin , Zuozhuo Dai , Siyu Zhu , Yao Yao

The emergence and understanding of new design paradigms that exploit flow induced mechanical instabilities for propulsion or energy harvesting demands robust and accurate flow structure interaction numerical models. In this context, we…

Fluid Dynamics · Physics 2019-05-22 Caroline Bernier , Mattia Gazzola , Renaud Ronsse , Philippe Chatelain

Fast and light-weight methods for animating 3D characters are desirable in various applications such as computer games. We present a learning-based approach to enhance skinning-based animations of 3D characters with vivid secondary motion…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 Mianlun Zheng , Yi Zhou , Duygu Ceylan , Jernej Barbič

Real objects that inhabit the physical world follow physical laws and thus behave plausibly during interaction with other physical objects. However, current methods that perform 3D reconstructions of real-world scenes from multi-view 2D…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Yuqiu Liu , Jialin Song , Marissa Ramirez de Chanlatte , Rochishnu Chowdhury , Rushil Paresh Desai , Wuyang Chen , Daniel Martin , Michael W. Mahoney

We consider compressible fluid flow on an evolving surface with a piecewise Lipschitz-continuous boundary from an energetic point of view. We employ both an energetic variational approach and the first law of thermodynamics to make a…

Mathematical Physics · Physics 2022-12-20 Hajime Koba

This article introduces the structure flow field; a flow field that can provide high-speed robo-centric motion information for motion control of highly dynamic robotic devices and autonomous vehicles. Structure flow is the angular 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Juan David Adarve , Robert Mahony

Over the past decades, the volume-of-fluid (VOF) method has been the method of choice for simulating atomization processes, owing to its unique ability to discretely conserve mass. Current state-of-the-art VOF methods, however, rely on the…

Computational Physics · Physics 2024-01-29 Fabien Evrard , Robert Chiodi , Berend van Wachem , Olivier Desjardins

We propose the Vortex Particle Flow Map (VPFM) method to simulate incompressible flow with complex vortical evolution in the presence of dynamic solid boundaries. The core insight of our approach is that vorticity is an ideal quantity for…

Graphics · Computer Science 2025-05-29 Sinan Wang , Junwei Zhou , Fan Feng , Zhiqi Li , Yuchen Sun , Duowen Chen , Greg Turk , Bo Zhu

Due to the computationally demanding nature of fluid-structure interaction simulations, heart valve simulation is a complex task. A simpler alternative is to model the valve as a resistive flow obstacle that can be updated dynamically…

Tissues and Organs · Quantitative Biology 2025-12-12 Bob van der Vuurst , Jiří Kosinka , Cristóbal Bertoglio

A conventional study of fluid simulation involves different stages including conception, simulation, visualization, and analysis tasks. It is, therefore, necessary to switch between different software and interactive contexts which implies…

Computational Engineering, Finance, and Science · Computer Science 2021-10-22 Mengchen Wang , Nicolas Férey , Frédéric Magoulès , Patrick Bourdot

Shallow flow or thin liquid film models are used for a wide range of physical and engineering problems. Shallow flow models allow capturing the free surface of the fluid with little effort and reducing the three-dimensional problem to a…

Computational Physics · Physics 2018-02-20 Matthias Rauter , Željko Tuković

The paper studies a finite element method for computing transport and diffusion along evolving surfaces. The method does not require a parametrization of a surface or an extension of a PDE from a surface into a bulk outer domain. The…

Numerical Analysis · Mathematics 2014-03-04 Joerg Grande , Maxim Olshanskii , Arnold Reusken

Simulations of wetting phenomena by a meshfree particle method are presented. The incompressible Navier-Stokes equations are used to model the two-phase flow. The continuous surface force model is used to incorporate the surface tension…

Numerical Analysis · Mathematics 2014-06-19 Sudarshan Tiwari , Axel Klar , Steffen Hardt

We present a novel method to interpolate smoke and liquid simulations in order to perform data-driven fluid simulations. Our approach calculates a dense space-time deformation using grid-based signed-distance functions of the inputs. A key…

Graphics · Computer Science 2017-04-05 Nils Thuerey

A part of non-Newtonian fluids are yield stress fluids. They require a minimum stress to flow. Below this minimum value, yield stress fluids remain solid. To date, 1D and 2D numerical models have been used predominantly to study free…

Fluid Dynamics · Physics 2018-08-03 N Schaer , J. Vazquez , M. Dufresne , G Isenmann , J. Wertel
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