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In this article we use analytical and numerical modeling to describe parallel viscous two-phase flows in microchannels. The focus is on idealized two-dimensional geometries, with a view to validating the various methodologies for future…

Fluid Dynamics · Physics 2019-11-28 Lennon Ó Náraigh , Daniel R. Jansen van Vuuren

Reactive transport in permeable porous media is relevant for a variety of applications, but poses a significant challenge due to the range of length and time scales. Multiscale methods that aim to link microstructure with the macroscopic…

Numerical Analysis · Mathematics 2023-12-27 Mina Karimi , Kaushik Bhattacharya

Recent developments in vortex particle methods for simulating three-dimensional incompressible flows are presented. A lightweight, dynamic Large-Eddy Simulation model is tested, featuring a dynamic procedure that relies solely on Lagrangian…

Fluid Dynamics · Physics 2026-01-13 Flavio A. C. Martins , Alexander van Zuijlen , Carlos J. Simao Ferreira

Recent advances in generative models have shown promise in generating behavior plans for long-horizon, sparse reward tasks. While these approaches have achieved promising results, they often lack a principled framework for hierarchical…

Robotics · Computer Science 2026-05-20 Nandiraju Gireesh , Yuanliang Ju , Chaoyi Xu , Weiheng Liu , Yuxuan Wan , He Wang

The objective of this paper is to design novel multi-layer neural network architectures for multiscale simulations of flows taking into account the observed data and physical modeling concepts. Our approaches use deep learning concepts…

Numerical Analysis · Mathematics 2018-06-14 Yating Wang , Siu Wun Cheung , Eric T. Chung , Yalchin Efendiev , Min Wang

Artificial intelligence techniques are considered an effective means to accelerate flow field simulations. However, current deep learning methods struggle to achieve generalization to flow field resolutions while ensuring computational…

Fluid Dynamics · Physics 2024-05-15 Kuijun Zuo , Zhengyin Ye , Linyang Zhu , Xianxu Yuan , Weiwei Zhang

Three algorithms are developed for uncertainty quantification in modeling coupled Stokes and Darcy flows. The porous media may consist of multiple regions with different properties. The permeability is modeled as a non-stationary stochastic…

Numerical Analysis · Mathematics 2019-03-05 Ilona Ambartsumyan , Eldar Khattatov , ChangQing Wang , Ivan Yotov

In Nature, liquids often circulate in channels textured with leaflets, cilia or porous walls that deform with the flow. These soft structures are optimized to passively control flows and inspire the design of novel microfluidic and soft…

Soft Condensed Matter · Physics 2020-08-19 Martin Brandenbourger , Adrien Dangremont , Rudolf Sprik , Corentin Coulais

We present a study of the effectiveness of asynchronous incomplete LU factorization preconditioners for the time-implicit solution of compressible flow problems while exploiting thread-parallelism within a compute node. A block variant of…

Numerical Analysis · Mathematics 2020-10-06 Aditya Kashi , Siva Nadarajah

Shallow flow or thin liquid film models are used for a wide range of physical and engineering problems. Shallow flow models allow capturing the free surface of the fluid with little effort and reducing the three-dimensional problem to a…

Computational Physics · Physics 2018-02-20 Matthias Rauter , Željko Tuković

We propose Multiscale Flow, a generative Normalizing Flow that creates samples and models the field-level likelihood of two-dimensional cosmological data such as weak lensing. Multiscale Flow uses hierarchical decomposition of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2024-02-16 Biwei Dai , Uros Seljak

In this paper a new primal-dual mixed finite element method is introduced, aimed to model multiscale problems with several geometric subregions in the domain of interest. In each of these regions porous media fluid flow takes place, but…

Numerical Analysis · Mathematics 2020-08-21 Fernando A Morales

Rotationally symmetric bodies with longitudinal cross sections of parabolic shape are frequently used to model astrophysical objects, such as magnetospheres and other blunt objects, immersed in interplanetary or interstellar gas or plasma…

Solar and Stellar Astrophysics · Physics 2024-11-07 Jens Kleimann , Christian Röken

Bach et al. [1] recently presented an algorithm for constructing confluent drawings, by leveraging power graph decomposition to generate an auxiliary routing graph. We identify two issues with their method which we call the node split and…

Computational Geometry · Computer Science 2019-09-04 Jonathan X. Zheng , Samraat Pawar , Dan F. M. Goodman

Morphing is a long-standing problem in vision and computer graphics, requiring a time-dependent warping for feature alignment and a blending for smooth interpolation. Recently, multilayer perceptrons (MLPs) have been explored as implicit…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Arthur Bizzi , Matias Grynberg , Vitor Matias , Daniel Perazzo , João Paulo Lima , Luiz Velho , Nuno Gonçalves , João Pereira , Guilherme Schardong , Tiago Novello

Flow-based generative models parameterize probability distributions through an invertible transformation and can be trained by maximum likelihood. Invertible residual networks provide a flexible family of transformations where only…

Machine Learning · Statistics 2020-07-27 Ricky T. Q. Chen , Jens Behrmann , David Duvenaud , Jörn-Henrik Jacobsen

Microfluidics involves the manipulation of flows at the microscale, typically requiring external power sources to generate pressure gradients. Alternatively, harnessing flows from active fluids, which are usually chaotic, has been proposed…

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

In this article an upscaled model is presented, for complex networks with highly clustered regions exchanging some abstract quantities in both, microscale and macroscale level. Such an intricate system is approximated by a partitioned open…

Analysis of PDEs · Mathematics 2020-08-21 Fernando A Morales , Sebastián Naranjo Álvarez

Widefield calcium imaging has recently emerged as a powerful experimental technique to record coordinated large-scale brain activity. These measurements present a unique opportunity to characterize spatiotemporal coherent structures that…

Neurons and Cognition · Quantitative Biology 2021-09-07 Nathaniel J Linden , Dennis R Tabuena , Nicholas A Steinmetz , William J Moody , Steven L Brunton , Bingni W Brunton
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