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Robust and accurate fully implicit finite-volume schemes applied to Darcy-scale multiphase flow and transport in porous media are highly desirable. Recently, a smooth approximation of the saturation-dependent flux coefficients based on…

数值分析 · 数学 2019-09-17 Francois P. Hamon , Bradley T. Mallison

Hydrodynamical simulations are the most accurate way to model structure formation in the universe, but they often involve a large number of astrophysical parameters modeling subgrid physics, in addition to cosmological parameters. This…

宇宙学与河外天体物理 · 物理学 2025-11-05 Benjamin Horowitz , Zarija Lukic

We describe a compatible finite element discretisation for the shallow water equations on the rotating sphere, concentrating on integrating consistent upwind stabilisation into the framework. Although the prognostic variables are velocity…

数值分析 · 数学 2018-10-17 J. Shipton , T. H. Gibson , C. J. Cotter

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

统计力学 · 物理学 2016-05-11 Steven E. Strong , Joel D. Eaves

We investigate the coupled dynamics of charge and energy in interacting lattice models with dipole conservation. We formulate a generic hydrodynamic theory for this combination of fractonic constraints and numerically verify its…

量子气体 · 物理学 2022-05-31 A. G. Burchards , J. Feldmeier , A. Schuckert , M. Knap

Confined granular fluids, placed in a shallow box that is vibrated vertically, can achieve homogeneous stationary states thanks to energy injection mechanisms that take place throughout the system. These states can be stable even at high…

软凝聚态物质 · 物理学 2015-06-12 Ricardo Brito , Dino Risso , Rodrigo Soto

We present a linear, second order fully discrete numerical scheme on a staggered grid for a thermodynamically consistent hydrodynamic phase field model of binary compressible fluid flow mixtures derived from the generalized Onsager…

数值分析 · 数学 2019-07-24 Xueping Zhao , Qi Wang

We propose an extension of the discretization approaches for multilayer shallow water models, aimed at making them more flexible and efficient for realistic applications to coastal flows. A novel discretization approach is proposed, in…

The parabolic-elliptic Keller-Segel equation with sensitivity saturation, because of its pattern formation ability, is a challenge for numerical simulations. We provide two finite-volume schemes whose goals are to preserve, at the discrete…

数值分析 · 数学 2018-10-30 Luís Neves de Almeida , Federica Bubba , Benoît Perthame , Camille Pouchol

In this paper, an energy-consistent finite difference scheme for the compressible hydrodynamic and magnetohydrodynamic (MHD) equations is introduced. For the compressible magnetohydrodynamics, an energy-consistent finite difference…

计算物理 · 物理学 2021-04-07 Haruhisa Iijima

We propose a new class of finite element approximations to ideal compressible magnetohydrodynamic equations in smooth regime. Following variational approximations developed for fluid models in the last decade, our discretizations are built…

数值分析 · 数学 2024-02-29 Valentin Carlier , Martin Campos-Pinto

In this paper we study the dynamical properties of charged systems immersed in an external magnetic field and perturbed by a set of scalar operators breaking translations either spontaneously or pseudo-spontaneously. By combining…

高能物理 - 理论 · 物理学 2021-05-19 Andrea Amoretti , Daniel Arean , Daniel K. Brattan , Nicodemo Magnoli

Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous properties compared to the surrounding rock matrix,…

We show that hydrodynamic diffusion is generically present in many-body interacting integrable models. We extend the recently developed generalised hydrodynamic (GHD) to include terms of Navier-Stokes type which lead to positive entropy…

统计力学 · 物理学 2018-10-19 Jacopo De Nardis , Denis Bernard , Benjamin Doyon

This paper presents a geometric variational discretization of compressible fluid dynamics. The numerical scheme is obtained by discretizing, in a structure preserving way, the Lie group formulation of fluid dynamics on diffeomorphism groups…

数值分析 · 数学 2018-12-17 Werner Bauer , François Gay-Balmaz

We analyze the transport properties of a low density ensemble of identical macroscopic particles immersed in an active fluid. The particles are modeled as inelastic hard spheres (granular gas). The non-homogeneous active fluid is modeled by…

软凝聚态物质 · 物理学 2017-10-17 Francisco Vega Reyes , Antonio Lasanta

We develop a new finite volume method using unstructured mesh-vertex grids for coupled systems modeling shallow water flows and solute transport over complex bottom topography. Novel well-balanced positivity preserving discretization…

数值分析 · 数学 2020-12-29 Hasan Karjoun , Abdelaziz Beljadid , Philippe G. LeFloch

A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

流体动力学 · 物理学 2014-08-11 Jun-De Li

We consider numerical simulation of the isotropic elastic wave equations arising from seismic applications with non-trivial land topography. The more flexible finite element method is applied to the shallow region of the simulation domain…

数值分析 · 数学 2018-12-26 Longfei Gao , David Keyes

A fast, hydrodynamic numerical model has been developed on the COMSOL Multi-physics platform to simulate the evolution and dynamics of charged particles in gaseous ionization detectors based on the Gaseous Electron Multipliers (GEM).…