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Fluid filled pipes are ubiquitous in both man-made constructions and living organisms. In the latter, biological pipes, such as arteries, have unique properties as their walls are made of soft, incompressible, highly deformable materials.…

软凝聚态物质 · 物理学 2026-03-16 Pierre Chantelot , Alexandre Delory , Claire Prada , Fabrice Lemoult

A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed to consist of both additive energetic and dissipative…

统计力学 · 物理学 2015-07-20 Mebratu F. Wakeni , B. D. Reddy , A. T. McBride

This manuscript develops edge-averaged virtual element (EAVE) methodologies to address convection-diffusion problems effectively in the convection-dominated regime. It introduces a variant of EAVE that ensures monotonicity (producing an…

数值分析 · 数学 2025-07-14 Shuhao Cao , Long Chen , Seulip Lee

We consider the effect of an array of plates or beams over a semi-infinite elastic ground on the propagation of elastic waves hitting the interface. The plates/beams are slender bodies with flexural resonances at low frequencies able to…

经典物理 · 物理学 2020-07-15 Jean-Jacques Marigo , Kim Pham , Agnès Maurel , Sébastien Guenneau

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

We propose an energy-stable parametric finite element method (ES-PFEM) for simulating solid-state dewetting of thin films in two dimensions via a sharp-interface model, which is governed by surface diffusion and contact line (point)…

数值分析 · 数学 2020-06-08 Quan Zhao , Wei Jiang , Weizhu Bao

Some aspects of how sound waves travel through disordered solids are still unclear. Recent work has characterized a feature of disordered solids which seems to influence vibrational excitations at the mesoscales, local elastic…

软凝聚态物质 · 物理学 2019-12-05 H. Mizuno , S. Mossa

The present paper has been framed to show the effect of damping on the propagation of torsional waves in an initially stressed, dissipative, incompressible cylinder of infinite length. A governing equation has been formulated on Biot's…

数学物理 · 物理学 2009-03-31 M. M. Selim

The paper presents a versatile framework for solids which undergo nonisothermal processes with irreversibly changing microstructure at large strains. It outlines rate-type and incremental variational principles for the full thermomechanical…

数值分析 · 数学 2022-04-12 Stephan Teichtmeister , Marc-Andre Keip

We present an exact treatment of wave propagation in some inhomogeneous thin films with highly space-dependent dielectric constant. It is based on a space transformation which replaces the physical space by the optical path. In the new…

光学 · 物理学 2009-11-11 Guillaume Petite , Alexander Shvartsburg

Based on our previous work, we propose a homogenized model of acoustic waves propagating through periodically perforated elastic plates with metamaterial properties due to embedded arrays of soft elastic inclusions serving for resonators.…

计算物理 · 物理学 2022-08-03 Eduard Rohan , Vladimír Lukeš

Spectra of thermal fluctuations of a wide range of interfaces, from liquid/air, viscoelastic material/air, liquid/liquid, to liquid/viscoelastic material interfaces, were measured over 100 Hz to 10 MHz frequency range. The obtained spectra…

软凝聚态物质 · 物理学 2017-05-31 Kenichiro Aoki , Takahisa Mitsui

Natural and engineered media usually involve combinations of solid, fluid and porous layers, and accurate and stable modelling of wave propagation in such complex multilayered media is fundamental to evaluating their properties with…

经典物理 · 物理学 2023-06-13 Ming Huang , Frederic Cegla , Bo Lan

A novel volume of fluid model (VoF) called explicit volume diffusion (EVD) is developed for the simulation of interfacial flows, including those with turbulence and primary spray atomisation. The EVD model is derived by volume averaging the…

流体动力学 · 物理学 2021-06-30 B. Wang , M. J. Cleary , A. R. Masri

We consider wave propagation in a coupled fluid-solid region, separated by a static but possibly curved interface. The wave propagation is modeled by the acoustic wave equation in terms of a velocity potential in the fluid, and the elastic…

数值分析 · 数学 2023-07-19 Daniel Appelö , Siyang Wang

We consider a damped linear hyperbolic system modelling the propagation of pressure waves in a network of pipes. Well-posedness is established via semi-group theory and the existence of a unique steady state is proven in the absence of…

数值分析 · 数学 2016-05-11 Herbert Egger , Thomas Kugler

In studying the transport of particles and inclusions in multi-phase systems we are often interested in integrated quantities such as the total force and the net velocity of the particles. Here, we derive a reciprocal formulation for linear…

软凝聚态物质 · 物理学 2023-12-14 Moslem Moradi , Wenzheng Shi , Ehssan Nazockdast

In our recent work [AIP Adv. 11, 095006], we presented an efficient numerical method to compute dispersions and spatial mode profiles of spin waves propagating in waveguides with translationally invariant equilibrium magnetization. Using a…

介观与纳米尺度物理 · 物理学 2024-06-12 Lukas Körber , Alexander Hempel , Andreas Otto , Rodolfo Gallardo , Yves Henry , Jürgen Lindner , Attila Kákay

A form of the conservation equations for fluid dynamics is presented, deduced using slightly less restrictive hypothesis than those necessary to obtain the Westervelt equation. This formulation accounts for full wave diffraction,…

流体动力学 · 物理学 2015-05-26 Roberto Velasco-Segura , Pablo L. Rendón

We analyze a homogenization limit for the linear wave equation of second order. The spatial operator is assumed to be of divergence form with an oscillatory coefficient matrix $a^\varepsilon$ that is periodic with characteristic length…

偏微分方程分析 · 数学 2014-01-31 Tomas Dohnal , Agnes Lamacz , Ben Schweizer