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In spite of considerable progress, computing curvature in Volume of Fluid (VOF) methods continues to be a challenge. The goal is to develop a function or a subroutine that returns the curvature in computational cells containing an interface…

Computational Physics · Physics 2018-11-14 Yinghe Qi , Jiacai Lu , Ruben Scardovelli , Stephane Zaleski , Gretar Tryggvason

Computational fluid dynamics (CFD) simulations of complex fluid flows in energy systems are prohibitively expensive due to strong nonlinearities and multiscale-multiphysics interactions. In this work, we present a transformer-based modeling…

Fluid Dynamics · Physics 2026-04-06 Kiran Yalamanchi , Shivam Barwey , Ibrahim Jarrah , Pinaki Pal

We propose a visual SLAM method by predicting and updating line flows that represent sequential 2D projections of 3D line segments. While feature-based SLAM methods have achieved excellent results, they still face problems in challenging…

Computer Vision and Pattern Recognition · Computer Science 2021-03-18 Qiuyuan Wang , Zike Yan , Junqiu Wang , Fei Xue , Wei Ma , Hongbin Zha

One of the key choices for numerical models of geophysical fluids is how parametrisations of physical processes interact with the numerical methods that handle the resolved flow, known in the atmospheric community as the dynamical core. As…

Numerical Analysis · Mathematics 2026-05-05 Nell Hartney , Thomas M. Bendall , Jemma Shipton

In this paper, we construct a robust adaptive central-upwind scheme on unstructured triangular grids for two-dimensional shallow water equations with variable density. The method is well-balanced, positivity-preserving, and oscillation-free…

Numerical Analysis · Mathematics 2022-01-26 Thuong Nguyen

We perform fully coupled two--dimensional numerical simulations of plane channel helium II counterflows with vortex--line density typical of experiments. The main features of our approach are the inclusion of the back reaction of the…

Other Condensed Matter · Physics 2015-12-09 Luca Galantucci , Michele Sciacca , Carlo F. Barenghi

In this paper, a novel meshless method that can handle porous flow problems with singular source terms is developed by virtually constructing the node control domains. By defining the connectable node cloud, this novel meshless method uses…

Numerical Analysis · Mathematics 2022-08-03 Xiang Rao

State-of-the-art image segmentation algorithms generally consist of at least two successive and distinct computations: a boundary detection process that uses local image information to classify image locations as boundaries between objects,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Michał Januszewski , Jeremy Maitin-Shepard , Peter Li , Jörgen Kornfeld , Winfried Denk , Viren Jain

We propose a multi-layer approach to simulate hyperpycnal and hypopycnal plumes in flows with free surface. The model allows to compute the vertical profile of the horizontal and the vertical components of the velocity of the fluid flow.…

Fluid Dynamics · Physics 2017-05-16 T. Morales de Luna , E. D. Fernández-Nieto , M. J. Castro Díaz

We use machine learning to perform super-resolution analysis of grossly under-resolved turbulent flow field data to reconstruct the high-resolution flow field. Two machine-learning models are developed; namely the convolutional neural…

Fluid Dynamics · Physics 2019-05-08 Kai Fukami , Koji Fukagata , Kunihiko Taira

Finite volume schemes for hyperbolic balance laws require a piecewise polynomial reconstruction of the cell averaged values, and a reconstruction is termed `well-balanced' if it is able to simulate steady states at higher order than time…

Numerical Analysis · Mathematics 2021-06-22 Edward W. G. Skevington

With more well-performing anomaly detection methods proposed, many of the single-view tasks have been solved to a relatively good degree. However, real-world production scenarios often involve complex industrial products, whose properties…

Computer Vision and Pattern Recognition · Computer Science 2025-04-07 Mathis Kruse , Bodo Rosenhahn

In this work, we review the framework of the Virtual Element Method (VEM) for a model in magneto-hydrodynamics (MHD), that incorporates a coupling between electromagnetics and fluid flow, and allows us to construct novel discretizations for…

Numerical Analysis · Mathematics 2021-04-12 Sebastian Naranjo-Alvarez , Vrushali Bokil , Vitaliy Gyrya , Gianmarco Manzini

When extended to two-phase flows, weakly compressible models lead to a non-conservative system, which precludes its treatment using standard finite volume techniques. In this paper, a novel HLLC-type path-conservative scheme is formulated…

Numerical Analysis · Mathematics 2025-12-01 Ashley Melvin , J. C. Mandal

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach is proposed, in…

Numerical Analysis · Mathematics 2018-04-18 Luca Bonaventura , Enrique D. Fernández-Nieto , José Garres-Díaz , Gladys Narbona-Reina

This study extends the flow measurement method initially proposed in [22] to three-dimensional scenarios, addressing the growing need for accurate and efficient non-contact flow measurement techniques in complex hydrodynamic environments.…

Numerical Analysis · Mathematics 2025-03-18 Jiwei Li , Lingyun Qiu , Zhongjing Wang , Hui Yu

Turbulent flows are fundamental in engineering and the environment, but their chaotic and three-dimensional (3-D) nature makes them computationally expensive to simulate. In this work, a dimensionality reduction technique is investigated to…

Fluid Dynamics · Physics 2020-12-16 Bernat Font

A novel interface reconstruction strategy for volume of fluid (VOF) methods is introduced that represents the liquid-gas interface as two planes that co-exist within a single computational cell. In comparison to the piecewise linear…

Fluid Dynamics · Physics 2024-03-19 Austin Han , Robert Chiodi , Olivier Desjardins

Flooding remains a major global challenge, worsened by climate change and urbanization, demanding advanced solutions for effective disaster management. While traditional 2D flood mapping techniques provide limited insights, 3D flood…

Computer Vision and Pattern Recognition · Computer Science 2025-07-14 Wenfeng Jia , Bin Liang , Yuxi Liu , Muhammad Arif Khan , Lihong Zheng

We present a two-level (fluid-kinetic) coupling procedure for the simulation of wall-bounded flows at Reynolds numbers up to thousands. The method combines a kinetic Direct Simulation Monte Carlo (DSMC) treatment of the near-wall layer,…

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