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Viscous streaming refers to the rectified, steady flows that emerge when a liquid oscillates around an immersed microfeature, typically a solid body or a bubble. The ability of such features to locally concentrate stresses produces strong…

A multigrid scheme is proposed for the pressure equation of the incompressible unsteady fluid flow equations, allowing efficient implementation on clusters of modern CPUs, many integrated core devices (MICs), and graphics processing units…

Numerical Analysis · Mathematics 2014-08-19 György Tegze , Gyula I. Tóth

In this paper, we present a multiscale method for simulations of the multicontinua unsaturated flow problems in heterogeneous fractured porous media. The mathematical model is described by the system of Richards equations for each continuum…

Numerical Analysis · Mathematics 2019-08-02 Denis Spiridonov , Maria Vasilyeva , Eric T. Chung

A new homogenization approach for the simulation of multi-phase flows in heterogeneous porous media is presented. It is based on the lattice Boltzmann method and combines the grayscale with the multi-component Shan-Chen method. Thus, it…

Many processes can correspond to reactive impregnation in porous solids. These processes are usually numerically computed by classical methods like finite element method, finite volume method, etc. The disadvantage of these methods remains…

Soft Condensed Matter · Physics 2018-08-22 Anh Khoa Nguyen , Eric Blond , Thomas Sayet , E. De Bilbao , Athanasios Batakis , Minh Duc Duong

Transformers have revolutionized AI in natural language processing and computer vision, but their large computation and memory demands pose major challenges for hardware acceleration. In practice, end-to-end throughput is often limited by…

Hardware Architecture · Computer Science 2026-03-20 Qunyou Liu , Marina Zapater , David Atienza

The accurate description of fluid flow and transport in fractured porous media is of paramount importance to capture the macroscopic behaviour of an oil reservoir, a geothermal system, or a CO2 sequestration site, to name few applications.…

Numerical Analysis · Mathematics 2019-08-01 Alessio Fumagalli , Eirik Keilegavlen

The Poisson-Fermi model is an extension of the classical Poisson-Boltzmann model to include the steric and correlation effects of ions and water treated as nonuniform spheres in aqueous solutions. Poisson-Boltzmann electrostatic…

Computational Physics · Physics 2018-07-04 Jen-Hao Chen , Ren-Chuen Chen , Jinn-Liang Liu

The never-ending computational demand from simulations of turbulence makes computational fluid dynamics (CFD) a prime application use case for current and future exascale systems. High-order finite element methods, such as the spectral…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-10 Martin Karp , Estela Suarez , Jan H. Meinke , Måns I. Andersson , Philipp Schlatter , Stefano Markidis , Niclas Jansson

We propose a CPU-GPU heterogeneous computing method for solving time-evolution partial differential equation problems many times with guaranteed accuracy, in short time-to-solution and low energy-to-solution. On a single-GH200 node, the…

Computational Engineering, Finance, and Science · Computer Science 2024-10-01 Tsuyoshi Ichimura , Kohei Fujita , Muneo Hori , Lalith Maddegedara , Jack Wells , Alan Gray , Ian Karlin , John Linford

We propose a GPU-based distributed optimization algorithm, aimed at controlling optimal power flow in multi-phase and unbalanced distribution systems. Typically, conventional distributed optimization algorithms employed in such scenarios…

Optimization and Control · Mathematics 2023-10-17 Minseok Ryu , Geunyeong Byeon , Kibaek Kim

Models that involve coupled dynamics in a mixed-dimensional geometry are of increasing interest in several applications. Here, we describe the development of a simulation model for flow in fractured porous media, where the fractures and…

Computational Engineering, Finance, and Science · Computer Science 2017-12-21 Eirik Keilegavlen , Alessio Fumagalli , Runar Berge , Ivar Stefansson

Solvent-mediated hydrodynamic interactions between colloidal particles can significantly alter their dynamics. We discuss the implementation of Stokesian dynamics in leading approximation for streaming processors as provided by the compute…

Computational Physics · Physics 2012-09-12 Michael Kopp , Felix Höfling

The paper presents a workflow for fast pore-scale simulation of single-phase flow in tight reservoirs typically characterized by low, multiscale porosity. Multiscale porosity implies that the computational domain contains porous voxels…

We propose a description for transient penetration simulations of miscible and immiscible fluid mixtures into anisotropic porous media, using the lattice Boltzmann (LB) method. Our model incorporates hydrodynamic flow, diffusion, surface…

Soft Condensed Matter · Physics 2010-11-22 M. Mendoza , F. K. Wittel , H. J. Herrmann

We consider the all-pairs multicommodity network flow problem on a network with capacitated edges. The usual treatment keeps track of a separate flow for each source-destination pair on each edge; we rely on a more efficient formulation in…

Optimization and Control · Mathematics 2025-04-04 Fangzhao Zhang , Stephen Boyd

The performance potential for simulating quantum electron transport on graphical processing units (GPUs) is studied. Using graphene ribbons of realistic sizes as an example it is shown that GPUs provide significant speed-ups in comparison…

Computational Physics · Physics 2012-06-22 S. Ihnatsenka

Pore structures and gas transport properties in porous separators for polymer electrolyte fuel cells are evaluated both experimentally and through simulations. In the experiments, the gas permeabilities of two porous samples, a conventional…

The motion of fluid particles as they are pushed along erratic trajectories by fluctuating pressure gradients is fundamental to transport and mixing in turbulence. It is essential in cloud formation and atmospheric transport, processes in…

Fluid Dynamics · Physics 2009-11-06 A. La Porta , Greg A. Voth , Alice M. Crawford , Jim Alexander , Eberhard Bodenschatz

The theoretical investigation of gas adsorption, storage, separation, diffusion and related transport processes in porous materials relies on a detailed knowledge of the potential energy surface of molecules in a stationary environment. In…

Chemical Physics · Physics 2025-01-30 Johannes K. Krondorfer , Christian W. Binder , Andreas W. Hauser
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