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We introduce Neural Flow Maps, a novel simulation method bridging the emerging paradigm of implicit neural representations with fluid simulation based on the theory of flow maps, to achieve state-of-the-art simulation of inviscid fluid…

Graphics · Computer Science 2023-12-25 Yitong Deng , Hong-Xing Yu , Diyang Zhang , Jiajun Wu , Bo Zhu

We present a finite element based variational interface-preserving and conservative phase-field formulation for the modeling of incompressible two-phase flows with surface tension dynamics. The preservation of the hyperbolic tangent…

Computational Physics · Physics 2021-03-17 Xiaoyu Mao , Vaibhav Joshi , Rajeev Jaiman

We present a machine-learning based Volume Of Fluid method to simulate multi-material flows on three-dimensional domains. One of the novelties of the method is that the flux fraction is computed by evaluating a previously trained neural…

Numerical Analysis · Mathematics 2025-07-08 Moreno Pintore , Bruno Després

This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical techniques such as nested iteration, algebraic multigrid,…

Numerical Analysis · Mathematics 2012-06-01 J. H. Adler , J. Brannick , C. Liu , T. Manteuffel , L. Zikatanov

In this paper, we present a framework for multiscale topology optimization of fluid-flow devices. The objective is to minimize dissipated power, subject to a desired contact-area. The proposed strategy is to design optimal microstructures…

Computational Engineering, Finance, and Science · Computer Science 2023-09-18 Rahul Kumar Padhy , Krishnan Suresh , Aaditya Chandrasekhar

Numerical simulations of flows are required for numerous applications, and are usually carried out using shallow water equations. We describe the FullSWOF software which is based on up-to-date finite volume methods and well-balanced schemes…

Scene flow estimation aims to generate the 3D motion field of points between two consecutive frames of point clouds, which has wide applications in various fields. Existing point-based methods ignore the irregularity of point clouds and…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Xuezhi Xiang , Xi Wang , Lei Zhang , Denis Ombati , Himaloy Himu , Xiantong Zhen

This paper introduces a Particle Flow Map Level Set (PFM-LS) method for high-fidelity interface tracking. We store level-set values, gradients, and Hessians on particles concentrated in a narrow band around the interface, advecting them via…

Computational Physics · Physics 2026-01-16 Jinjin He , Taiyuan Zhang , Zhiqi Li , Junwei Zhou , Duowen Chen , Bo Zhu

This study presents an advanced sharp-interface immersed boundary method (IBM) integrated with the blastFOAM library on the OpenFOAM platform for high-speed compressible flow simulations. The developed solver extends the existing IBM…

Classical Physics · Physics 2026-02-18 Punit Pandey , Ankit Bansal , Krishna Mohan Singh , Yannick Hoarau

We propose a two-point flux approximation finite-volume scheme for the approximation of two cross-diffusion systems coupled by a free interface to account for vapor deposition. The moving interface is addressed with a cut-cell approach,…

Numerical Analysis · Mathematics 2023-07-14 Clément Cancès , Jean Cauvin-Vila , Claire Chainais-Hillairet , Virginie Ehrlacher

Images of static scenes submerged beneath a wavy water surface exhibit severe non-rigid distortions. The physics of water flow suggests that water surfaces possess spatio-temporal smoothness and temporal periodicity. Hence they possess a…

Computer Vision and Pattern Recognition · Computer Science 2019-08-07 Jerin Geo James , Pranay Agrawal , Ajit Rajwade

We consider in this paper a challenging problem of simulating fluid flows, in complex multiscale media possessing multi-continuum background. As an effort to handle this obstacle, model reduction is employed. In \cite{rh2}, homogenization…

Numerical Analysis · Mathematics 2022-05-31 Jun Sur Richard Park , Siu Wun Cheung , Tina Mai , Viet Ha Hoang

In the previous work, Zhang et al. proposed a multi-resolution smoothed particle hydrodynamics (SPH) method for fluid-structure interactions (FSI) with achieving an optimized computational efficiency meanwhile maintaining good numerical…

Fluid Dynamics · Physics 2022-05-03 Chi Zhang , Yujie Zhu , Xiangyu Hu

Different formulations of interfacial force have been adopted in phase-field-based lattice Boltzmann method for two-phase flows. Although they are identical mathematically, their numerical performances may be different due to truncation…

Fluid Dynamics · Physics 2021-06-16 Chunhua Zhang , Hong Liang , Zhaoli Guo

In this study, we develop an interface-contact simulation framework based on physical criteria and machine-learning-assisted classification to describe coalescence and bouncing within a unified formulation. The framework realizes…

Fluid Dynamics · Physics 2026-05-18 J. H. Xu , Z. L. Wang

We propose a novel volume conserving framework for character-water interaction, using a novel volume-of-fluid solver on a skinned tetrahedral mesh, enabling the high degree of the spatial adaptivity in order to capture thin films and…

Graphics · Computer Science 2019-02-05 Minjae Lee , David Hyde , Kevin Li , Ronald Fedkiw

We present and analyze a variational front-tracking method for a sharp-interface model of multiphase flow. The fluid interfaces between different phases are represented by curve networks in two space dimensions (2d) or surface clusters in…

Numerical Analysis · Mathematics 2026-02-11 Harald Garcke , Robert Nürnberg , Quan Zhao

A new finite volume (FV) discretisation method for the Lattice Boltzmann (LB) equation which combines high accuracy with limited computational cost is presented. In order to assess the performance of the FV method we carry out a systematic…

Fluid Dynamics · Physics 2016-03-02 Kalyan Shrestha , Gilmar Mompean , Enrico Calzavarini

We consider three conservative forms of the mildly compressible Euler equations, called CE1, CE2 and CE3, with the goal of understanding which leads to the most accurate and robust pressure-based solver in a finite volume environment. Forms…

Fluid Dynamics · Physics 2024-02-29 Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Perceiving and understanding 3D motion is a core technology in fields such as autonomous driving, robots, and motion prediction. This paper proposes a 3D motion perception method called ScaleFlow++ that is easy to generalize. With just a…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Han Ling , Yinghui Sun , Quansen Sun , Yuhui Zheng
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