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Stokes flow equations have been implemented successfully in practice for simulating problems with moving interfaces. Though computational methods produce accurate solutions and numerical convergence can be demonstrated using a resolution…

Numerical Analysis · Mathematics 2023-02-17 Haixia Dong , Zhongshu Zhao , Shuwang Li , Wenjun Ying , Jiwei Zhang

We present a generalisation of efficient numerical frameworks for modelling fluid-filament interactions via the discretisation of a recently-developed, non-local integral equation formulation to incorporate regularised Stokeslets with…

Fluid Dynamics · Physics 2019-10-02 Benjamin J. Walker , Kenta Ishimoto , Hermes Gadêlha , Eamonn A. Gaffney

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

Computational Physics · Physics 2018-04-10 Boris Krasnopolsky

Large sectors of the recent optimization literature focused in the last decade on the development of optimal stochastic first order schemes for constrained convex models under progressively relaxed assumptions. Stochastic proximal point is…

Optimization and Control · Mathematics 2020-05-05 Andrei Patrascu

A probabilistic machine learning model is introduced to augment the $k-\omega\ SST$ turbulence model in order to improve the modelling of separated flows and the generalisability of learnt corrections. Increasingly, machine learning methods…

Computational Engineering, Finance, and Science · Computer Science 2023-01-24 Joel Ho , Nick Pepper , Tim Dodwell

In this paper, we proposed a stochastic model which describes two species of particles moving in counterflow. The model generalizes the theoretical framework describing the transport in random systems since particles can work as mobile…

Soft Condensed Matter · Physics 2017-08-09 Eduardo Velasco Stock , Roberto da Silva , Henrique Almeida Fernandes

The study of biological systems witnessed a pervasive cross-fertilization between experimental investigation and computational methods. This gave rise to the development of new methodologies, able to tackle the complexity of biological…

Computational Engineering, Finance, and Science · Computer Science 2013-10-01 Daniela Besozzi , Giulio Caravagna , Paolo Cazzaniga , Marco Nobile , Dario Pescini , Alessandro Re

Stochastic processes generated by non-stationary distributions are difficult to represent with conventional models such as Gaussian processes. This work presents Recurrent Autoregressive Flows as a method toward general stochastic process…

Machine Learning · Computer Science 2020-06-20 John Mern , Peter Morales , Mykel J. Kochenderfer

A highly accurate method for simulating surfactant-covered droplets in two-dimensional Stokes flow with solid boundaries is presented. The method handles both periodic channel flows of arbitrary shape and stationary solid constrictions. A…

Numerical Analysis · Mathematics 2020-12-02 Sara Pålsson , Anna-Karin Tornberg

Normalizing flows are a class of probabilistic generative models which allow for both fast density computation and efficient sampling and are effective at modelling complex distributions like images. A drawback among current methods is…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Jason J. Yu , Konstantinos G. Derpanis , Marcus A. Brubaker

State-of-the-art simulations of detailed neural models follow the Bulk Synchronous Parallel execution model. Execution is divided in equidistant communication intervals, equivalent to the shortest synaptic delay in the network. Neurons…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-05 Bruno Magalhães , Michael Hines , Thomas Sterling , Felix Schuermann

We present a parallel-scalable method for simulating non-dilute suspensions of deformable particles immersed in Stokesian fluid in three dimensions. A critical component in these simulations is robust and accurate collision handling. This…

Numerical Analysis · Mathematics 2018-12-13 Libin Lu , Abtin Rahimian , Denis Zorin

Automatic parallelization remains a challenging problem in software engineering, particularly in identifying code regions where loops can be safely executed in parallel on modern multi-core architectures. Traditional static analysis…

Software Engineering · Computer Science 2026-04-01 Izavan dos S. Correia , Henrique C. T. Santos , Tiago A. E. Ferreira

A growing body of work on the dynamics of eukaryotic flagella has noted that their oscillation frequencies are sufficiently high that the viscous penetration depth of unsteady Stokes flow is comparable to the scales over which flagella…

The air flows in the proximal and distal portions of the human lungs are interconnected: the lower Reynolds number in the deeper generations causes a progressive flow regularization, while mass conservation requires flow rate oscillations…

Fluid Dynamics · Physics 2025-06-18 Marco Atzori , Emanuele Gallorini , Ciro Cottini , Andrea Benassi , Maurizio Quadrio

Advanced measurement techniques and high performance computing have made large data sets available for a wide range of turbulent flows that arise in engineering applications. Drawing on this abundance of data, dynamical models can be…

Fluid Dynamics · Physics 2020-05-06 Armin Zare , Tryphon T. Georgiou , Mihailo R. Jovanović

We derive new formulas for the fundamental solutions of slow, viscous flow, governed by the Stokes equations, in a half-space. They are simpler than the classical representations obtained by Blake and collaborators, and can be efficiently…

Fluid Dynamics · Physics 2023-07-19 Zydrunas Gimbutas , Leslie Greengard , Shravan Veerapaneni

Over the last two decades, scientific workflow management systems (SWfMS) have emerged as a means to facilitate the design, execution, and monitoring of reusable scientific data processing pipelines. At the same time, the amounts of data…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-29 Marc Bux , Ulf Leser

Rational approximation has proven to be a powerful method for solving two-dimensional (2D) fluid problems. At small Reynolds numbers, 2D Stokes flows can be represented by two analytic functions, known as Goursat functions. Xue, Waters and…

Fluid Dynamics · Physics 2025-12-18 Yidan Xue

Pedestrian movement, although ubiquitous and well-studied, is still not that well understood due to the complicating nature of the embedded social dynamics. Interest among researchers in simulating pedestrian movement and interactions has…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-12-17 Sankha Baran Dutta , Robert McLeod , Marcia Friesen