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The geometric nature of Euler fluids has been clearly identified and extensively studied over the years, culminating with Lagrangian and Hamiltonian descriptions of fluid dynamics where the configuration space is defined as the…

Upcoming large-scale-structure surveys can shed new light on the properties of dark energy. In particular, if dark energy is a dynamical component, it must have spatial perturbations. Their behaviour is regulated by the speed of sound…

宇宙学与河外天体物理 · 物理学 2023-05-10 Linda Blot , Pier Stefano Corasaniti , Fabian Schmidt

We present ECHO-QGP, a numerical code for $(3+1)$-dimensional relativistic viscous hydrodynamics designed for the modeling of the space-time evolution of the matter created in high energy nuclear collisions. The code has been built on top…

This paper describes a numerical scheme for multi-fluid hydrodynamics in the limit of small mass densities of the charged particles. The inertia of the charged particles can then be neglected, which makes it possible to write an evolution…

天体物理学 · 物理学 2009-11-10 S. A. E. G. Falle

We present a Lagrangian-Eulerian scheme to solve the shallow water equations in the case of spatially variable bottom geometry. Using a local curvilinear reference system anchored on the bottom surface, we develop an effective first-order…

数值分析 · 数学 2022-09-09 Eduardo Abreu , Elena Bachini , John Perez , Mario Putti

We present a novel Eulerian meshless method for two-phase flows with arbitrary embedded geometries. The spatial derivatives are computed using the meshless generalized finite difference method (GFDM). The sharp phase interface is tracked…

流体动力学 · 物理学 2024-06-27 Anand S Bharadwaj , Pratik Suchde , Prapanch Nair

A low-Mach-number flow, in the laminar regime, has intrinsically two characteristic spatial scales for a given time scale, or two characteristic temporal scales for a given spatial scale, and these dual scales are very different due to the…

The study of many astrophysical flows requires computational algorithms that can capture high Mach number flows, while resolving a large dynamic range in spatial and density scales. In this paper we present a novel method, RAM: Rapid…

天体物理仪器与方法 · 物理学 2023-07-26 Pablo Benítez-Llambay , Leonardo Krapp , Ximena S. Ramos , Kaitlin M. Kratter

We present a new 1-D multi-physics simulation code with use cases intended for, but not limited to, hydrodynamic escapeproblems of planetary atmospheres and planetary accretion models. Our formulation treats an arbitrary number of species…

地球与行星天体物理 · 物理学 2023-05-10 Matthäus Schulik , Richard Booth

We develop, and implement in a Finite Volume environment, a density-based approach for the Euler equations written in conservative form using density, momentum, and total energy as variables. Under simplifying assumptions, these equations…

数值分析 · 数学 2024-05-01 Nicola Clinco , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

In fluid dynamical simulations in astrophysics, large deformations are common and surface tracking is sometimes necessary. Smoothed Particle Hydrodynamics (SPH) method has been used in many of such simulations. Recently, however, it has…

天体物理仪器与方法 · 物理学 2017-03-29 Satoko Yamamoto , Junichiro Makino

We present two new Lagrangian methods for hydrodynamics, in a systematic comparison with moving-mesh, SPH, and stationary (non-moving) grid methods. The new methods are designed to simultaneously capture advantages of both smoothed-particle…

宇宙学与河外天体物理 · 物理学 2015-12-15 Philip F. Hopkins

In this paper we present results from a series of hydrodynamical tests aimed at validating the performance of a smoothed particle hydrodynamics (SPH) formulation in which gradients are derived from an integral approach. We specifically…

天体物理仪器与方法 · 物理学 2016-11-09 R. Valdarnini

We present a fully Eulerian hybrid immersed-boundary/phase-field model to simulate wetting and contact line motion over any arbitrary geometry. The solid wall is described with a volume-penalisation ghost-cell immersed boundary whereas the…

流体动力学 · 物理学 2021-06-30 Armin Shahmardi , Marco Edoardo Rosti , Outi Tammisola , Luca Brandt

In probability density function (PDF) methods of turbulent flows, the joint PDF of several flow variables is computed by numerically integrating a system of stochastic differential equations for Lagrangian particles. A set of parallel…

流体动力学 · 物理学 2010-06-04 J. Bakosi , P. Franzese , Z. Boybeyi

We present a filter stabilization technique for the mildly compressible Euler equations that relies on a linear or nonlinear indicator function to identify the regions of the domain where artificial viscosity is needed and determine its…

数值分析 · 数学 2023-05-23 Nicola Clinco , Michele Girfoglio , Annalisa Quaini , Gianluigi Rozza

Radiation hydrodynamical transport of ionization fronts in the next generation of cosmological reionization simulations holds the promise of predicting UV escape fractions from first principles as well as investigating the role of…

天体物理学 · 物理学 2009-11-11 Daniel J. Whalen , Michael L. Norman

Simulating multiscale flows with moving boundaries, such as hypersonic multi-body separation and flows in micro-electro-mechanical systems (MEMS), requires robust numerical methods that couple mesh deformation with complex flow physics.…

流体动力学 · 物理学 2026-04-14 Yue Zhang , Wenpei Long , Junzhe Cao , Kun Xu

Recently, we developed a pair of meshless finite-volume Lagrangian methods for hydrodynamics: the 'meshless finite mass' (MFM) and 'meshless finite volume' (MFV) methods. These capture advantages of both smoothed-particle hydrodynamics…

天体物理仪器与方法 · 物理学 2015-12-15 Philip F. Hopkins , Matthias J. Raives

Using a fixed Eulerian mesh, the phase-field method has been successfully utilized for a broad range of moving boundary problems involving multiphase fluids and single-phase fluid-structure interaction. Nevertheless, multiphase fluids…

流体动力学 · 物理学 2024-02-19 Xiaoyu Mao , Rajeev Jaiman