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We present a velocity-based Monte Carlo fluid solver that overcomes the limitations of its existing vorticity-based counterpart. Because the velocity-based formulation is more commonly used in graphics, our Monte Carlo solver can be readily…

Graphics · Computer Science 2024-05-01 Ryusuke Sugimoto , Christopher Batty , Toshiya Hachisuka

When simulating three-dimensional flows interacting with deformable and elastic obstacles, current methods often encounter complexities in the governing equations and challenges in numerical implementation. In this work, we introduce a…

Fluid Dynamics · Physics 2026-01-09 Andreu F. Gallen , Joan Muñoz Biosca , Mario Castro , Aurora Hernández-Machado

This paper deals with a numerical analysis of plastic deformation under various conditions, utilizing Radial Basis Function (RBF) approximation. The focus is on the elasto-plastic von Mises problem under plane-strain assumption. Elastic…

Numerical Analysis · Mathematics 2024-05-09 Filip Strniša , Mitja Jančič , Gregor Kosec

Many machine learning problems can be seen as approximating a \textit{target} distribution using a \textit{particle} distribution by minimizing their statistical discrepancy. Wasserstein Gradient Flow can move particles along a path that…

Machine Learning · Statistics 2024-06-07 Song Liu , Jiahao Yu , Jack Simons , Mingxuan Yi , Mark Beaumont

In computational engineering, ensuring the integrity and safety of structures in fields such as aerospace and civil engineering relies on accurate stress prediction. However, analytical methods are limited to simple test cases, and…

Computational Engineering, Finance, and Science · Computer Science 2025-10-31 Fabian Key , Lukas Freinberger

We present a novel Eulerian meshless method for two-phase flows with arbitrary embedded geometries. The spatial derivatives are computed using the meshless generalized finite difference method (GFDM). The sharp phase interface is tracked…

Fluid Dynamics · Physics 2024-06-27 Anand S Bharadwaj , Pratik Suchde , Prapanch Nair

Diffraction-based methods have become an invaluable tool for the detailed assessment of residual strain and stress within experimental mechanics. These methods typically measure a component of the average strain within a gauge volume. It is…

Applied Physics · Physics 2019-02-25 J. N. Hendriks , C. M. Wensrich , A. Wills , V Luzin , A. W. T Gregg

In this paper we present numerical simulations of a macroscopic vision-based model [1] derived from microscopic situation rules described in [2]. This model describes an approach to collision avoidance between pedestrians by taking…

Numerical Analysis · Mathematics 2018-04-09 N. K. Mahato , A. Klar , S. Tiwari

Rapid fluctuations of static pressure away from flow boundaries in a low-speed vortical flow, are extracted using the measured velocity field. The technique departs from prior work in not requiring far boundary values. Stereo Particle Image…

Fluid Dynamics · Physics 2018-04-18 Nandeesh Hiremath , Jose C. Sanchez , Narayanan Komerath

Non-Rigid Structure from Motion (NRSfM) refers to the problem of reconstructing cameras and the 3D point cloud of a non-rigid object from an ensemble of images with 2D correspondences. Current NRSfM algorithms are limited from two…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Chen Kong , Simon Lucey

Advances in computational science offer a principled pipeline for predictive modeling of cardiovascular flows and aspire to provide a valuable tool for monitoring, diagnostics and surgical planning. Such models can be nowadays deployed on…

Machine Learning · Computer Science 2019-09-19 Georgios Kissas , Yibo Yang , Eileen Hwuang , Walter R. Witschey , John A. Detre , Paris Perdikaris

A new formulation of the immersed boundary method, which facilitates accurate simulation of incompressible isothermal and natural convection flows around immersed bodies and which may be applied for accurate linear stability analysis of the…

Fluid Dynamics · Physics 2015-12-17 Yuri Feldman , Yosef Gulberg

Rigid slice-to-volume registration is a challenging task, which finds application in medical imaging problems like image fusion for image guided surgeries and motion correction for volume reconstruction. It is usually formulated as an…

Computer Vision and Pattern Recognition · Computer Science 2016-08-22 Roque Porchetto , Franco Stramana , Nikos Paragios , Enzo Ferrante

A numerical method is developed to efficiently calculate the stress (and displacement) field in finite 2D rectangular media. The solution is expanded on a function basis with elements that satisfy the Navier-Cauchy equation. The obtained…

Materials Science · Physics 2020-04-22 Denes Berta , Istvan Groma , Peter Dusan Ispanovity

Obtaining system parameters and reconstructing the full flow state from limited velocity observations using conventional fluid dynamics solvers can be prohibitively expensive. Here we employ machine learning algorithms to overcome the…

Fluid Dynamics · Physics 2024-10-17 Vladimir Parfenyev , Mark Blumenau , Ilia Nikitin

The rheology of surface granular flows is investigated by means of measurements of velocity and number density profiles in a quasi-two-dimensional rotating cylinder, half-filled with mono-disperse steel balls. The measurements are made at…

Soft Condensed Matter · Physics 2015-06-25 Ashish V. Orpe , D. V. Khakhar

Scalar fields, such as stress or temperature fields, are often calculated in shape optimization and design problems in engineering. For complex problems where shapes have varying topology and cannot be parametrized, data-driven scalar field…

Machine Learning · Computer Science 2024-10-10 Kevin Ferguson , Andrew Gillman , James Hardin , Levent Burak Kara

Drawing inspiration from the lateral lines of fish, the inference of flow characteristics via surface-based data has drawn considerable attention. The current approaches often rely on analytical methods tailored exclusively for potential…

Fluid Dynamics · Physics 2023-11-03 Colin Rodwell , Kumar Sourav , Phanindra Tallapragada

We propose a simple boundary condition regularization strategy to reduce error propagation in pressure field reconstruction from corrupted image velocimetry data. The core idea is to replace the canonical Neumann boundary conditions with…

Fluid Dynamics · Physics 2024-02-20 Connor Pryce , Lanyu Li , Jared P. Whitehead , Zhao Pan

In this paper, we present a meshless hybrid method combining the Generalized Finite Difference (GFD) and Finite Difference based Radial Basis Function (RBF-FD) approaches to solve non-homogeneous partial differential equations (PDEs)…

Numerical Analysis · Mathematics 2025-05-02 Priyal Garg , T. V. S. Sekhar