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The field of ice sheet, ice shelf and glacier-related seismology, cryoseismology, has seen rapid development in recent years. As concern grows for the implications of change in the great ice sheets of Greenland and Antarctica, so instrument…

Geophysics · Physics 2023-04-04 Ross J. Turner , Jared C. Magyar , Sue Cook , Anya M. Reading

We investigate the accuracy and efficiency of the semiclassical Frozen Gaussian method in describing electron dynamics in real time. Model systems of two soft-Coulomb-interacting electrons are used to study correlated dynamics under…

Chemical Physics · Physics 2015-05-30 Peter Elliott , Neepa T. Maitra

Discrete particle simulations are widely used to study large-scale particulate flows in complex geometries where particle-particle and particle-fluid interactions require an adequate representation but the computational cost has to be kept…

Computational Engineering, Finance, and Science · Computer Science 2017-11-02 Christoph Rettinger , Ulrich Rüde

The present work introduces a simple, yet effective particle coalescing procedure for two-dimensional SPH simulations with spatially varying resolution. In addition to the regular conservation properties of former algorithms concerning the…

Computational Physics · Physics 2019-09-24 Balázs Havasi-Tóth

Finite difference/element/volume methods of discretising PDEs impose a subgrid scale interpolation on the dynamics. In contrast, the holistic discretisation approach developed herein constructs a natural subgrid scale field adapted to the…

Numerical Analysis · Mathematics 2016-02-04 G. A. Jarrad , A. J. Roberts

A stochastic dynamics $({\bf X}(t))_{t\ge0}$ of a classical continuous system is a stochastic process which takes values in the space $\Gamma$ of all locally finite subsets (configurations) in $\Bbb R$ and which has a Gibbs measure $\mu$ as…

Probability · Mathematics 2007-05-23 Yuri Kondratiev , Eugene Lytvynov , Michael Röckner

Magnetic particles underpin a broad range of technologies, from water purification and mineral processing to bioseparations and targeted drug delivery. The dynamics of magnetic particles in high-gradient magnetic fields-encompassing both…

Statistical Mechanics · Physics 2026-05-14 Marko Tesanovic , Daniel M. Markiewitz , Marcus L. Popp , Martin Z. Bazant , Sonja Berensmeier

Common techniques for the spatial discretisation of PDEs on a macroscale grid include finite difference, finite elements and finite volume methods. Such methods typically impose assumed microscale structures on the subgrid fields, so…

Dynamical Systems · Mathematics 2022-04-15 J. E. Bunder , A. J. Roberts

We consider the interaction between a poroelastic structure, described using the Biot model in primal form, and a free-flowing fluid, modelled with the time-dependent incompressible Stokes equations. We propose a diffuse interface model in…

Numerical Analysis · Mathematics 2024-07-09 Francis R. A. Aznaran , Martina Bukač , Boris Muha , Abner J. Salgado

This paper describes the results of our theoretical and numerical studies of hydrodynamic interactions in a suspension of spherical particles confined between two parallel planar walls, under creeping-flow conditions. We propose a novel…

Soft Condensed Matter · Physics 2009-11-11 S. Bhattacharya , J. Blawzdziewicz , E. Wajnryb

We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain…

Numerical Analysis · Mathematics 2018-12-26 Longfei Gao , David Keyes

We investigate the dynamics of elastic microstructures within a fluid that are subjected to thermal fluctuations. We perform analysis to obtain systematically simplified descriptions of the mechanics in the limiting regimes when (i) the…

Soft Condensed Matter · Physics 2023-10-24 Gil Tabak , Paul J. Atzberger

As Arctic sea ice extent decreases with increasing greenhouse gases, there is a growing interest in whether there could be a bifurcation associated with its loss, and whether there is significant hysteresis associated with that bifurcation.…

Dynamical Systems · Mathematics 2016-06-22 Kaitlin Hill , Dorian S. Abbot , Mary Silber

Reactive, semi-permeable interfaces play important roles in key biological processes such as targeted drug delivery, lipid metabolism, and signal transduction. These systems involve coupled surface reactions, transmembrane transport, and…

Numerical Analysis · Mathematics 2025-07-22 Weidong Shi , Shixin Xu , Zhen Zhang , Quan Zhao

Long simulation times in climate sciences typically require coarse grids due to computational constraints. Nonetheless, unresolved subscale information significantly influences the prognostic variables and can not be neglected for reliable…

Numerical Analysis · Mathematics 2018-02-22 Konrad Simon , Jörn Behrens

We analyze the numerical solutions of a stochastic Arctic sea ice model with constant additive noise over a wide range of external heat-fluxes, $\Delta F_0$, which correspond to greenhouse gas forcing. The variability that the stochasticity…

Atmospheric and Oceanic Physics · Physics 2017-05-05 Woosok Moon , John S. Wettlaufer

Water-ice systems undergoing melting develop complex spatio-temporal interface dynamics and a non-trivial temperature field. In this contribution, we present computational aspects of a recently conducted validation study that aims at…

Fluid Dynamics · Physics 2018-01-12 K. Schüller , B. Berkels , J. Kowalski

Quantum kinetically constrained models can exhibit a wealth of dynamical phenomena ranging from anomalous transport to Hilbert-space fragmentation (HSF). We study a class of one-dimensional particle number conserving systems where particle…

Statistical Mechanics · Physics 2023-11-02 Cheng Wang , Zhi-Cheng Yang

The prediction of aircraft icing is conventionally performed using multishot simulation frameworks that fail to predict the progressive roughening of the ice surface. To understand roughness formation, we investigate droplet impingement on…

Fluid Dynamics · Physics 2026-05-08 Federico Zabaleta , Brett Bornhoft , Suhas S. Jain , Sanjeeb T. Bose , Parviz Moin

Most research on the simulation of deformation and failure of metals has been and continues to be performed using the finite element method. However, the issues of mesh entanglement under large deformation, considerable complexity in…

Computational Physics · Physics 2012-01-13 Biswajit Banerjee
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