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We introduce a second-order numerical scheme for compressible atmospheric motions at small to planetary scales. The collocated finite volume method treats the advection of mass, momentum, and mass-weighted potential temperature in…

数值分析 · 数学 2020-01-08 Tommaso Benacchio , Rupert Klein

The open problem of derivation of the relativistic Vlasov equation for the systems of charged particles moving with the velocities up to the speed of light and creating the electromagnetic field in accordance with the full set of the…

等离子体物理 · 物理学 2022-04-26 Pavel A. Andreev

In this paper we analyze a fully discrete scheme for a general Cahn-Hilliard equation coupled with a nonsteady Magneto-hydrodynamics flow, which describes two immiscible, incompressible and electrically conducting fluids with different…

数值分析 · 数学 2022-02-04 Hailong Qiu

The present work is concerned with a study of large eddy simulations (LES) of unsteady turbulent jet flows. In particular, the present analysis is focused on the effects of the subgrid-scale modeling used when a second-order spatial…

流体动力学 · 物理学 2022-12-26 Carlos Junqueira-Junior , Sami Yamouni , João Luiz F. Azevedo , William R. Wolf

We outline a general formalism of hydrodynamics for quantum systems with multiple particle species which undergo completely elastic scattering. In the thermodynamic limit, the complete kinematic data of the problem consists of the particle…

统计力学 · 物理学 2017-09-06 Enej Ilievski , Jacopo De Nardis

The upwind conservation element and solution element (CESE) scheme is an alternative discontinuity-capturing numerical approach to solving hyperbolic conservation laws. To evaluate the numerical properties of this spatiotemporal coupled…

流体动力学 · 物理学 2024-10-31 Yazhong Jiang , Lisong Shi , Chih-Yung Wen

We introduce a coupled Cahn-Hilliard Navier-Stokes model that governs the two-phase dynamics of a system that consists of a fluid and a solid phase and prove its thermodynamic consistency. Moreover, we present an associated fully-discrete…

数值分析 · 数学 2026-01-15 Cedric Riethmüller , Lars von Wolff , Dominik Göddeke , Christian Rohde

In a multiscale modeling approach, we present computer simulation results for a rectifying bipolar nanopore on two modeling levels. In an all-atom model, we use explicit water to simulate ion transport directly with the molecular dynamics…

介观与纳米尺度物理 · 物理学 2018-03-13 Zoltán Ható , Mónika Valiskó , Tamás Kristóf , Dirk Gillespie , Dezső Boda

We simulate the mesoscopic dynamics of droplets formed by phase separated fluids at nanometer scales where thermal fluctuations are significant. Both spherical droplets fully immersed in a second fluid and sessile droplets which are also in…

流体动力学 · 物理学 2024-11-18 John B. Bell , Andrew Nonaka , Alejandro L. Garcia

We propose a reduced-order model for the instantaneous hydrodynamic force on a cylinder. The model consists of a system of two ordinary differential equations (ODEs), which can be integrated in time to yield very accurate histories of the…

流体动力学 · 物理学 2024-10-21 Osama A. Marzouk

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

计算物理 · 物理学 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

Multi-particle collision dynamics is an appealing numerical technique aiming at simulating fluids at the mesoscopic scale. It considers molecular details in a coarse-grained fashion and reproduces hydrodynamic phenomena. Here, the…

软凝聚态物质 · 物理学 2019-03-28 H. Híjar

In nearly compensated graphene, disorder-assisted electron-phonon scattering or "supercollisions" are responsible for both quasiparticle recombination and energy relaxation. Within the hydrodynamic approach, these processes contribute weak…

介观与纳米尺度物理 · 物理学 2021-04-30 B. N. Narozhny , I. V. Gornyi

We propose a novel Skew Gradient Embedding (SGE) framework for systematically reformulating thermodynamically consistent partial differential equation (PDE) models-capturing both reversible and irreversible processes-as generalized gradient…

数值分析 · 数学 2025-09-24 Xuelong Gu , Qi Wang

We develop a method for modeling and simulating a class of two-phase flows consisting of two immiscible incompressible dielectric fluids and their interactions with imposed external electric fields in two and three dimensions. We first…

数值分析 · 数学 2024-07-08 Jielin Yang , Ivan C. Christov , Suchuan Dong

The capability of hydrodynamics to accurately describe slow and long-wavelength fluctuations around non-equilibrium steady states (NESS), characterized by a stationary flow of energy or matter in the presence of a driving force, remains an…

统计力学 · 物理学 2024-11-06 Daniel K. Brattan , Masataka Matsumoto , Matteo Baggioli , Andrea Amoretti

This article presents a multi-physics methodology for the numerical simulation of physical systems that involve the non-linear interaction of multi-phase reactive fluids and elastoplastic solids, inducing high strain-rates and high…

计算物理 · 物理学 2021-06-04 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

We study Euler scale hydrodynamics of massless integrable quantum field theories interpolating between two non-trivial renormalisation group fixed points after inhomogeneous quantum quenches. Using a partitioning protocol with left and…

统计力学 · 物理学 2020-01-08 David X. Horvath

This paper presents a conforming finite element discretization of the streamfunction formulation of the one-layer stationary quasi-geostrophic equations, which are a commonly used model for the large scale wind- driven ocean circulation.…

数值分析 · 数学 2014-11-05 Erich L Foster , Traian Iliescu , Zhu Wang

We develop numerical schemes for solving the isothermal compressible and incompressible equations of fluctuating hydrodynamics on a grid with staggered momenta. We develop a second-order accurate spatial discretization of the diffusive,…

流体动力学 · 物理学 2012-05-25 F. B. Balboa , J. B. BelL , R. Delgado-Buscalioni , A. Donev , T. G. Fai , B. E. Griffith , C. S. Peskin