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Understanding the ultrasound pressure-driven dynamics of microbubbles confined in viscoelastic materials is relevant for multiple biomedical applications, ranging from contrast-enhanced ultrasound imaging to ultrasound-assisted drug…

The mysterious nature of the dark sector of the $\Lambda$CDM model is one of the main motivators behind the study of alternative cosmological models. A central quantity of interest for these models is the matter power spectrum, which…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-11 Renate Mauland , Hans A. Winther , Cheng-Zong Ruan

We consider the probabilistic numerical scheme for fully nonlinear PDEs suggested in \cite{cstv}, and show that it can be introduced naturally as a combination of Monte Carlo and finite differences scheme without appealing to the theory of…

Probability · Mathematics 2010-08-26 Arash Fahim , Nizar Touzi , Xavier Warin

In the present paper, a fluid-particle coupling method is directly derived from the Navier-Stokes equations (NSE) by applying the concept of volume-filtering, yielding a physically consistent methodology to incorporate solid wall boundary…

Fluid Dynamics · Physics 2024-10-17 Max Hausmann , Hani Elmestikawy , Berend van Wachem

The effects of discreteness arising from the use of the N-body method on the accuracy of simulations of cosmological structure formation are not currently well understood. After a discussion of how the relevant discretisation parameters…

Astrophysics · Physics 2009-11-13 Michael Joyce , Bruno Marcos , Thierry Baertschiger

We identify and describe the main dynamic regimes occurring during the melting of the PCM n-octadecane in horizontal layers of several sizes heated from below. This configuration allows to cover a wide range of effective Rayleigh numbers on…

Fluid Dynamics · Physics 2017-11-22 Santiago Madruga , Jezabel Curbelo

Cavitation in soft elastomers and adhesives is often viewed as an elastic instability, commonly tied to the study of incompressible solids. It is the first step prior to fibrillation and ultimate failure in adhesives. Building on the work…

Soft Condensed Matter · Physics 2026-03-20 S. Mohammad Mousavi , Sarvesh Joshi , Franck Vernerey , Nikolaos Bouklas

Modeling unresolved turbulence in astrophysical gasdynamic simulations can improve the modeling of other subgrid processes dependent on the turbulent structure of gas: from flame propagation in the interiors of combusting white dwarfs to…

Astrophysics of Galaxies · Physics 2025-11-19 Vadim A. Semenov

A 2D numerical hydrodynamics approach is considered for modelling recent experimental results on the oscillation and collective behavior of convective flows. Our simulations consider the rising dynamics of heated fluid columns in a…

Fluid Dynamics · Physics 2022-07-07 Attila Gergely , Zoltán Néda

Mathematically, the typical difference of Discrete Boltzmann Model (DBM) from the traditional hydrodynamic one is that the Navier-Stokes (NS) equations are replaced by a discrete Boltzmann equation. But physically, this replacement has a…

Fluid Dynamics · Physics 2018-03-06 Aiguo Xu , Guangcai Zhang , Yudong Zhang

Non-spherical bubble collapses near solid boundaries, generating water hammer pressures and shock waves, were recognized as key mechanisms for cavitation erosion. However, there is no agreement on local erosion patterns, and cavitation…

Fluid Dynamics · Physics 2025-07-23 Zhesheng Zhao , Shuai Li , Chengwang Xiong , Pu Cui , Shiping Wang , A-Man Zhang

The critical buckling characteristics of hydrostatically pressurized complete spherical shells filled with an elastic medium are demonstrated. A model based on small deflection thin shell theory, the equations of which are solved in…

Soft Condensed Matter · Physics 2011-03-14 Motohiro Sato , M. Ahmer Wadee , Kohtaroh Iiboshi , Takafumi Sekizawa , Hiroyuki Shima

Considering the popularity of two-dimensional particle-in-cell simulations, a 2D model of plasma wakefield in the strongly nonlinear (bubble) regime in transversely non-uniform plasma is developed. A differential equation for the boundary…

Plasma Physics · Physics 2018-11-15 A. A. Golovanov , I. Yu. Kostyukov

A geometric approach to derive the Nambu brackets for ideal two-dimensional (2D) hydrodynamics is suggested. The derivation is based on two-forms with vanishing integrals in a periodic domain, and with resulting dynamics constrained by an…

Fluid Dynamics · Physics 2015-10-21 Richard Blender , Gualtiero Badin

As part of a critical assessment of wall boiling modeling through Heat Flux Partitioning approach, a new model dedicated to vertical boiling flows is proposed, with a revisited partitioning including a boiling heat flux related to bubble…

Fluid Dynamics · Physics 2025-12-16 Luc Favre , Catherine Colin , Stéphane Pujet , Stéphane Mimouni

The theoretical investigation of non-adiabatic processes is hampered by the complexity of the coupled electron-nuclear dynamics beyond the Born-Oppenheimer approximation. Classically, the simulation of such reactions is limited by the…

Quantum Physics · Physics 2021-01-06 Pauline J. Ollitrault , Guglielmo Mazzola , Ivano Tavernelli

In this thesis, the implications of a new cosmological model are studied, which has features similar to that of decaying vacuum cosmologies. Decaying vacuum (or cosmological constant \Lambda) models are the results of attempts to resolve…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Moncy V. John

Rayleigh--Taylor fluid turbulence through a bed of rigid, finite-size, spheres is investigated by means of high-resolution Direct Numerical Simulations (DNS), fully coupling the fluid and the solid phase via a state-of-the art Immersed…

Fluid Dynamics · Physics 2019-02-05 G. Sardina , L. Brandt , G. Boffetta , A. Mazzino

A new fluid-dynamic model is developed to numerically simulate the non-equilibrium dynamics of polydisperse gas-particle mixtures forming volcanic plumes. Starting from the three-dimensional N-phase Eulerian transport equations for a…

Geophysics · Physics 2016-02-19 Matteo Cerminara , Tomaso Esposti Ongaro , Luigi Carlo Berselli

In this article we discuss the generalization of a Lagrange multiplier based fictitious domain (DLM/FD) method to simulating the motion of neutrally buoyant particles of non-symmetric shape in non-Newtonian shear thinning fluids. Numerical…

Fluid Dynamics · Physics 2021-11-23 Ang Li , Tsorng-Whay Pan , Roland Glowinski