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We present a loosely coupled approach for the solution of fluid-structure interaction problems between a compressible flow and a deformable structure. The method is based on staggered Dirichlet-Neumann partitioning. The interface motion in…

We have performed high resolution 3D simulations of the Local Bubble (with 1.25 pc finest resolution) in a realistic background ISM, jointly with the dynamical evolution of the neighbouring Loop I superbubble. We can reproduce (i) the size…

Astrophysics · Physics 2007-05-23 Dieter Breitschwerdt , Miguel A. de Avillez

We prove finite-time vorticity blowup in the compressible Euler equations in $\mathbb{R}^d$ for any $d \geq 3$, starting from smooth, localized, and non-vacuous initial data. This is achieved by lifting the vorticity blowup result from…

Analysis of PDEs · Mathematics 2024-08-09 Jiajie Chen

This work describes three diffuse-interface methods for the simulation of immiscible, compressible multiphase fluid flows and elastic-plastic deformation in solids. The first method is the localized-artificial-diffusivity approach of Cook…

Computational Physics · Physics 2021-09-21 Suhas S. Jain , Michael C. Adler , Jacob R. West , Ali Mani , Parviz Moin , Sanjiva K. Lele

We consider the 3D isentropic compressible Euler equations with the ideal gas law. We provide a constructive proof of shock formation from smooth initial datum of finite energy, with no vacuum regions, with nontrivial vorticity present at…

Analysis of PDEs · Mathematics 2020-06-24 Tristan Buckmaster , Steve Shkoller , Vlad Vicol

A new discrete-velocity model is presented to solve the three-dimensional Euler equations. The velocities in the model are of an adaptive nature---both the origin of the discrete-velocity space and the magnitudes of the discrete-velocities…

comp-gas · Physics 2009-10-28 Balu Nadiga

In recent works, we proposed a hypothesis that the turbulence in gases could be produced by particles interacting via a potential, and examined the proposed mechanics of turbulence formation in a simple model of two particles for a variety…

Fluid Dynamics · Physics 2024-06-12 Rafail V. Abramov

We investigate the process of cloud cavitation collapse through large-scale simulation of a cloud composed of 12500 gas bubbles. A finite volume scheme is used on a structured Cartesian grid to solve the Euler equations, and the bubbles are…

Computational Physics · Physics 2019-06-12 Ursula Rasthofer , Fabian Wermelinger , Petr Karnakov , Jonas Šukys , Petros Koumoutsakos

The dimensional transition in turbulent jets of a shear-thinning fluid is studied via direct numerical simulations. Our findings reveal that under vertical confinement, the flow exhibits a unique mixed-dimensional (or 2.5D) state, where…

Fluid Dynamics · Physics 2024-08-20 Christian Amor , Giovanni Soligo , Andrea Mazzino , Marco Edoardo Rosti

Turbulent plasma motion is common in the universe, and invoked in solar flares to drive effective acceleration leading to high energy electrons. Unresolved mass motions are frequently detected in flares from extreme ultraviolet (EUV)…

Solar and Stellar Astrophysics · Physics 2023-05-03 Wenzhi Ruan , Limei Yan , Rony Keppens

Whether the 3D incompressible Euler equations can develop a singularity in finite time from smooth initial data is one of the most challenging problems in mathematical fluid dynamics. This work attempts to provide an affirmative answer to…

Fluid Dynamics · Physics 2015-06-17 Guo Luo , Thomas Y. Hou

We study the formation of a large-scale coherent structure (a condensate) in classical wave equations by considering the defocusing nonlinear Schr\"odinger equation as a representative model. We formulate a thermodynamic description of the…

Statistical Mechanics · Physics 2009-11-11 Colm Connaughton , Christophe Josserand , Antonio Picozzi , Yves Pomeau , Sergio Rica

We present results of high-resolution numerical simulations of compressible 2D turbulence forced at intermediate spatial scales with a solenoidal white-in-time external acceleration. A case with an isothermal equation of state, low energy…

Astrophysics of Galaxies · Physics 2019-06-27 Alexei G. Kritsuk

Using the holographic correspondence as a tool, we determine the steady-state velocity of expanding vacuum bubbles nucleated within chiral finite temperature first-order phase transitions occurring in strongly-coupled large $N$ QCD-like…

High Energy Physics - Phenomenology · Physics 2021-10-06 Francesco Bigazzi , Alessio Caddeo , Tommaso Canneti , Aldo L. Cotrone

We show the initial results of our 3D MHD simulations of the flow of the Galactic atmosphere as it responds to a spiral perturbation in the potential. In our standard case, as the gas approaches the arm, there is a downward converging flow…

Astrophysics · Physics 2008-11-26 Gilberto C. Gomez , Donald P. Cox

Radiative feedback from massive stars is a key process to understand how HII regions may enhance or inhibit star formation in pillars and globules at the interface with molecular clouds. We aim to contribute to model the interactions…

Solar and Stellar Astrophysics · Physics 2015-06-03 P. Tremblin , E. Audit , V. Minier , N. Schneider

In this work we systematically derive the governing equations of supersonic conical flow by projecting the 3D Euler equations onto the unit sphere. These equations result from taking the assumption of conical invariance on the 3D flow…

Analysis of PDEs · Mathematics 2019-10-22 Ian Holloway , Sivaguru S. Sritharan

We study dynamical constraints arising from Embedded Contact Homology (ECH) in the spatial isosceles three-body problem. For energies below the critical level, the dynamics on the energy surface is identified with a Reeb flow on the tight…

Symplectic Geometry · Mathematics 2026-03-02 Xijun Hu , Lei Liu , Yuwei Ou , Zhiwen Qiao , Pedro A. S. Salomão

The dynamics of spherical laser-induced cavitation bubbles in water is investigated by plasma photography, time-resolved shadowgraphs, and single-shot probe beam scattering enabling to portray the transition from initial nonlinear to late…

Fluid Dynamics · Physics 2022-04-27 Xiao-Xuan Liang , Norbert Linz , Sebastian Freidank , Guenther Paltauf , Alfred Vogel

The interaction of optically emitting clouds with warm X-ray gas and hot, tenuous radio plasma in radio jet cocoons is modelled by 2D compressible hydrodynamic simulations. The initial setup is the Kelvin-Helmholtz instability at a contact…

Astrophysics · Physics 2008-11-26 Martin Krause , Paul Alexander