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The representation of small scale barriers, such as sea-walls, in coastal flooding simulations is a common computational constraint that can be difficult to overcome due to the combination of the need for resolution and the CFL constraining…

Numerical Analysis · Mathematics 2021-12-21 Chanyang Ryoo , Kyle Mandli

Chapman-Enskog analysis of the lattice Boltzmann method (LBM) is adopted to recover the Navier-Stokes (N-S) equation for the magnetohydrodynamic (MHD) flows driven by external body forces other than the induced Lorentz force. Various…

Fluid Dynamics · Physics 2025-12-16 Jun Li

A change of solute dispersion regime with the flow velocity has been studied both at the macroscopic and pore scales in a transparent array of capillary channels using an optical technique allowing for simultaneous local and global…

Fluid Dynamics · Physics 2007-05-23 Maria Veronica D'Angelo , Harold Auradou , Catherine Allain , Jean-Pierre Hulin

Combining large $N_C$ techniques and partial wave dispersion theory to analyze the $\pi\pi$ scattering, without relying on any explicit resonance lagrangian, some interesting results are derived: (a) a general KSRF relation including the…

High Energy Physics - Phenomenology · Physics 2009-11-13 Zhi-Hui Guo

In a recent paper by Lucas and Das Sarma [Physical Review B 97, 115449 (2018)], a solvable model of collective modes in 2D metals was considered in the hydrodynamic regime. In the current work, we generalize the hydrodynamic theory to 3D…

Strongly Correlated Electrons · Physics 2021-04-05 Shao-Kai Jian , Sankar Das Sarma

In a previous paper a method was developed to subtract the interactions due to periodically replicated charges (or other long-range entities) in one spatial dimension. The method constitutes a generalized "electrostatic layer correction"…

Materials Science · Physics 2009-11-07 Jason de Joannis , Axel Arnold , Christian Holm

This paper presents a more stable implementation and a highly accurate numerical tool for predicting flooding in urban areas. We started with the (linearised) well-posedness analysis by [1], where far-field boundary conditions were proposed…

Analysis of PDEs · Mathematics 2022-07-05 Reindorf N. Borkor , Magnus Svard , Adu Sakyi , Peter Amoako-Yirenkyi

We prove some local smoothing estimates for the Schr\"{o}dinger initial value problem with data in $L^2(\mathbb{R}^d)$, $d \geq 2$ and a general class of potentials. In the repulsive setting we have to assume just a power like decay…

Analysis of PDEs · Mathematics 2008-02-18 J. A. Bercelo , A. Ruiz , L. Vega , M. C. Vilela

We prove a dispersive estimate for the solutions of the linearized Water-Waves equations in dimension 1 in presence of a flat bottom. We prove a decay with respect to time t of order 1/3 for solutions with initial data in weighted Sobolev…

Analysis of PDEs · Mathematics 2015-12-09 Benoît Mésognon-Gireau

This article extends a strong averaging principle for L\'evy diffusions which live on the leaves of a foliated manifold subject to small transversal L\'evy type perturbation to the case of non-compact leaves. The main result states that the…

Dynamical Systems · Mathematics 2018-04-11 Paulo-Henrique da Costa , Michael A. Högele , Paulo R. Ruffino

Relative dispersion in a neutrally stratified planetary boundary layer (PBL) is investigated by means of Large-Eddy Simulations (LES). Despite the small extension of the inertial range of scales in the simulated PBL, our Lagrangian…

Fluid Dynamics · Physics 2009-11-10 G. Gioia , G. Lacorata , E. P. Marques Filho , A. Mazzino , U. Rizza

We develop an efficient Ewald method of molecular dynamics simulation for calculating the electrostatic interactions among charged and polar particles between parallel metallic plates, where we may apply an electric field with an arbitrary…

Soft Condensed Matter · Physics 2013-10-01 Kyohei Takae , Akira Onuki

Quantitative estimates are derived, on the whole space, for the relative entropy between the joint law of random interacting particles and the tensorized law at the limiting systeme. The developed method combines the relative entropy method…

Probability · Mathematics 2024-01-18 Paul Nikolaev , David J. Prömel

High precision cross-section data of the deuteron-proton breakup reaction at 130 MeV deuteron energy are compared with the theoretical predictions obtained with a coupled-channel extension of the CD Bonn potential with virtual Delta-isobar…

The dispersion of a diffusive scalar in a fluid flowing through a network has many applications including to biological flows, porous media, water supply and urban pollution. Motivated by this, we develop a large-deviation theory that…

Fluid Dynamics · Physics 2016-09-14 Alexandra Tzella , Jacques Vanneste

This study investigates the Reynolds-number dependence of shock-induced flow through particle layers at 10\% volume fraction, using ensemble-averaged results from particle-resolved large eddy simulations. The advantage of using large eddy…

This paper is concerned with the long time behavior of Langevin dynamics of {\em Coulomb gases} in $\mathbf{R}^d$ with $d\geq 2$, that is a second order system of Brownian particles driven by an external force and a pairwise repulsive…

Probability · Mathematics 2020-01-29 Yulong Lu , Jonathan C. Mattingly

Using molecular simulation, we assess the impact of an electric field on the properties of water, modeled with the SPC/E potential, over a wide range of states and conditions. Electric fields of the order of $0.1V/$\AA and beyond are found…

Soft Condensed Matter · Physics 2021-07-01 Caroline Desgranges , Jerome Delhommelle

This paper presents the Landau damping effects on the microwave instability of a coasting long bunch in an isochronous ring due to finite energy spread and emittance. Our two-dimensional (2D) dispersion relation gives more accurate…

Accelerator Physics · Physics 2014-08-22 Yingjie Li , Lanfa Wang , Fanglei Lin

We present the singular Euler--Maclaurin expansion, a new method for the efficient computation of large singular sums that appear in long-range interacting systems in condensed matter and quantum physics. In contrast to the traditional…

Numerical Analysis · Mathematics 2022-01-28 Andreas A. Buchheit , Torsten Keßler
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