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The filtration of fluid in 2D porous medium is simulated by the molecular dynamics technique. The high concentration of fluid is created at the initial point in time and the number of fluid particles is investigated in all porous. The…

Fluid Dynamics · Physics 2007-05-23 Marat N. Ovchinnikov

A prevalent problem in general state space models is the approximation of the smoothing distribution of a state conditional on the observations from the past, the present, and the future. The aim of this paper is to provide a rigorous…

Statistics Theory · Mathematics 2016-05-30 Thi Ngoc Minh Nguyen , Sylvain Le Corff , Eric Moulines

Wet particle separation is widely used in mineral processing and plastic recycling to separate mixtures of particulate materials into further usable fractions due to density differences. This work presents efforts aiming to numerically…

Fluid Dynamics · Physics 2017-07-28 Darius Markauskas , Harald Kruggel-Emden

Novel experimental modalities acquire spatially resolved velocity measurements for steady state and transient flows which are of interest for engineering and biological applications. One of the drawbacks of such high resolution velocity…

Numerical Analysis · Mathematics 2015-12-31 H. Egger , T. Seitz , C. Tropea

An accurate prediction of the translational and rotational motion of particles suspended in a fluid is only possible if a complete set of correlations for the force coefficients of fluid-particle interaction is known. The present study is…

Fluid Dynamics · Physics 2020-09-24 Martyna Minakowska , Thomas Richter , Sebastian Sager

Filters whose porosity decreases with depth are often more efficient at removing solute from a fluid than filters with a uniform porosity. We investigate this phenomenon via an extension of homogenization theory that accounts for a…

Fluid Dynamics · Physics 2016-02-11 Mohit P. Dalwadi , Ian M. Griffiths , Maria Bruna

In contrast to the commonly used lattice Boltzmann method, off-lattice Boltzmann methods decouple the velocity discretization from the underlying spatial grid, thus allowing for more efficient geometric representations of complex…

This article illustrates the application of multiple scales analysis to two archetypal quasilinear systems; i.e. to systems involving fast dynamical modes, called fluctuations, that are not directly influenced by fluctuation--fluctuation…

Fluid Dynamics · Physics 2019-03-14 G. Michel , G. P. Chini

Depth-averaged systems of equations describing the motion of fluid-sediment mixtures have been widely adopted by scientists in pursuit of models that can predict the paths of dangerous overland flows of debris. As models have become…

Fluid Dynamics · Physics 2026-04-07 Jake Langham , Xiannan Meng , Jamie P. Webb , Chris G. Johnson , J. M. N. T. Gray

Porous media processes involve various physical phenomena such as mechanical deformation, transport, and fluid flow. Accurate simulations must capture the strong couplings between these phenomena. Choosing an efficient solver for the…

Numerical Analysis · Mathematics 2025-10-14 Yury Zabegaev , Eirik Keilegavlen , Einar Iversen , Inga Berre

We present a broad family of high-order finite element algorithms for simulating the flow of electroneutral electrolytes. The governing partial differential equations that we solve are the electroneutral…

Numerical Analysis · Mathematics 2026-03-31 Aaron Baier-Reinio , Patrick E. Farrell , Charles W. Monroe

We propose a new unfitted finite element method for simulation of two-phase flows in presence of insoluble surfactant. The key features of the method are 1) discrete conservation of surfactant mass; 2) the possibility of having meshes that…

Numerical Analysis · Mathematics 2022-11-30 Thomas Frachon , Sara Zahedi

The flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. The flow within numerous natural and synthetic porous…

Computational Engineering, Finance, and Science · Computer Science 2018-05-23 S. H. S. Joodat , K. B. Nakshatrala , R. Ballarini

We present a practical guide to Smoothed Particle Hydrodynamics (\SPH) and its application to astrophysical problems. Although remarkably robust, \SPH\ must be used with care if the results are to be meaningful since the accuracy of \SPH\…

Astrophysics · Physics 2007-05-23 T. J. Martin , F. R. Pearce , P. A. Thomas

Slow-fast dynamical systems, i.e., singularly or non-singularly perturbed dynamical systems possess slow invariant manifolds on which trajectories evolve slowly. Since the last century various methods have been developed for approximating…

Chaotic Dynamics · Physics 2021-06-30 Jean-Marc Ginoux

This paper presents transient numerical simulations of hydraulic systems in engineering applications using the spectral element method (SEM). Along with a detailed description of the underlying numerical method, it is shown that the SEM…

Computational Physics · Physics 2017-10-24 Jan-Frederik Mennemann , Lukas Marko , Jakob Schmidt , Wolfgang Kemmetmüller , Andreas Kugi

The number of mobile robots with constrained computing resources that need to execute complex machine learning models has been increasing during the past decade. Commonly, these robots rely on edge infrastructure accessible over wireless…

Machine Learning · Computer Science 2022-07-22 Timotheos Souroulla , Alberto Hata , Ahmad Terra , Özer Özkahraman , Rafia Inam

Water and silicon are chemically dissimilar substances with common physical properties. Their liquids display a temperature of maximum density, increased diffusivity on compression, they form tetrahedral crystals and tetrahedral amorphous…

Soft Condensed Matter · Physics 2008-09-18 Valeria Molinero , Emily B. Moore

Fluid simulation is an important research topic in computer graphics (CG) and animation in video games. Traditional methods based on Navier-Stokes equations are computationally expensive. In this paper, we treat fluid motion as point cloud…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Yu Chen , Shuai Zheng , Nianyi Wang , Menglong Jin , Yan Chang

Nanoscale confinement of molecules in a fluid can result in enhanced viscosity, local fluidic order, or collective motion. Confinement also affects ion transport and/or the rate and equilibrium concentration in a chemical reaction, all of…

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