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This study develops a polygonal cell-based smoothed finite element method (CSFEM) for two-dimensional seepage analyses in porous media, covering steady-state, transient, and free-surface problems. Wachspress interpolation on convex…

Numerical Analysis · Mathematics 2026-02-19 Yang Yang , Mingjiao Yan , Zongliang Zhang , Yinpeng Yin , Qiang Liu , You liang Li

In many interfacial flow systems, variations of surface properties lead to novel and interesting behaviors. In this work a three-dimensional model of flow dynamics for multicomponent vesicles is presented. The surface composition is modeled…

Soft Condensed Matter · Physics 2017-12-07 Prerna Gera , David Salac

We employ a multi-phase smoothed particle hydrodynamics (SPH) method to study droplet dynamics in shear flow. With an extensive range of Reynolds number, capillary number, wall confinement, and density/viscosity ratio between the droplet…

Fluid Dynamics · Physics 2023-07-07 Kuiliang Wang , Hong Liang , Chong Zhao , Xin Bian

Adjoint-based shape optimization most often relies on Eulerian flow field formulations. However, since Lagrangian particle methods are the natural choice for solving sedimentation problems in oceanography, extensions to the Lagrangian…

Fluid Dynamics · Physics 2022-09-07 Luka Schlegel , Volker Schulz

Mapping the environment has been an important task for robot navigation and Simultaneous Localization And Mapping (SLAM). LIDAR provides a fast and accurate 3D point cloud map of the environment which helps in map building. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-06-14 Aritra Mukherjee , Sourya Dipta Das , Jasorsi Ghosh , Ananda S. Chowdhury , Sanjoy Kumar Saha

This study proposes a novel adaptive finite volume-particle method (AFVPM) for accurate and efficient free surface flow simulations. The proposed AFVPM synergistically combines the Eulerian finite volume method (FVM) on unstructured meshes…

Computational Physics · Physics 2026-03-27 Jiawang Zhang , Fengxiang Zhao , Kun Xu

The Depth from Defocus (DFD) imaging technique for measuring the size and number concentration of particles in a dispersed two-phase flow has up to now been restricted to relatively sparse particle densities and to identifying only…

Fluid Dynamics · Physics 2024-04-01 Rixin Xua , Zuojie Huanga , Wenchao Gonga , Wu Zhoua , Cameron Tropea

Modern optical flow methods make use of salient scene feature points detected and matched within the scene as a basis for sparse-to-dense optical flow estimation. Current feature detectors however either give sparse, non uniform point…

Computer Vision and Pattern Recognition · Computer Science 2019-05-21 Felix Stephenson , Toby Breckon , Ioannis Katramados

We present a quantum computing algorithm for the smoothed particle hydrodynamics (SPH) method. We use a normalization procedure to encode the SPH operators and domain discretization in a quantum register. We then perform the SPH summation…

Quantum Physics · Physics 2025-09-26 Rhonda Au-Yeung , Anthony J. Williams , Viv M. Kendon , Steven J. Lind

In this study, we propose a graph neural network (GNN) model for efficiently predicting the flow behavior of non-Newtonian fluids with free surface dynamics. The numerical analysis of non-Newtonian fluids presents significant challenges, as…

Fluid Dynamics · Physics 2025-09-30 Hyo-Jin Kim , Jaekwang Kim , Hyung-Jun Park

Manipulation of small-scale particles across streamlines is the elementary task of microfluidic devices. Many such devices operate at very low Reynolds numbers and deflect particles using arrays of obstacles, but a systematic quantification…

Fluid Dynamics · Physics 2025-03-19 Xuchen Liu , Partha Kumar Das , Sascha Hilgenfeldt

Learning without supervision how to predict 3D scene flows from point clouds is essential to many perception systems. We propose a novel learning framework for this task which improves the necessary regularization. Relying on the assumption…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Patrik Vacek , David Hurych , Karel Zimmermann , Patrick Perez , Tomas Svoboda

Feature identification is an important task in many fluid dynamics applications and diverse methods have been developed for this purpose. These methods are based on a physical understanding of the underlying behavior of the flow in the…

Fluid Dynamics · Physics 2019-01-07 Carlos Michelén Ströfer , Jinlong Wu , Heng Xiao , Eric Paterson

Hypergraph spectral analysis has emerged as an effective tool processing complex data structures in data analysis. The surface of a three-dimensional (3D) point cloud and the multilateral relationship among their points can be naturally…

Signal Processing · Electrical Eng. & Systems 2021-01-01 Songyang Zhang , Shuguang Cui , Zhi Ding

We present a new method for assessing the intrinsic 3D shape of prestellar cores from molecular column densities. We have employed hydrodynamic simulations of contracting, isothermal cores considering three intrinsic geometries: spherical,…

Astrophysics of Galaxies · Physics 2016-02-17 A. Tritsis , K. Tassis , K. Willacy

A stochastic method is introduced for geometric modeling aerosol surface roughness with random field and discrete differential geometry theory. Optical scattering properties are computed for randomly oriented spheroidal particles with…

Atmospheric and Oceanic Physics · Physics 2017-10-24 Jianing Zhang

A method for particle orientation tracking is developed and demonstrated specifically for anisotropic particles. Using (high-speed) multi-camera recordings of anisotropic particles from different viewpoints, we reconstruct the 3D location…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Mees M. Flapper , Elian Bernard , Sander G. Huisman

We study the numerical behaviour of a particle method for gradient flows involving linear and nonlinear diffusion. This method relies on the discretisation of the energy via non-overlapping balls centred at the particles. The resulting…

Analysis of PDEs · Mathematics 2016-12-07 J. A. Carrillo , Y. Huang , F. S. Patacchini , G. Wolansky

A fully discrete finite element method, based on a new weak formulation and a new time-stepping scheme, is proposed for the surface diffusion flow of closed curves in the two-dimensional plane. It is proved that the proposed method can…

Numerical Analysis · Mathematics 2021-07-28 Wei Jiang , Buyang Li

In this paper, helicoidal flat surfaces in the $3$-dimensional sphere $\mathbb{S}^3$ are considered. A complete classification of such surfaces is given in terms of their first and second fundamental forms and by linear solutions of the…

Differential Geometry · Mathematics 2016-01-20 Fernando Manfio , João Paulo dos Santos
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