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In the field of numerical integration, methods specially tuned on oscillating functions, are of great practical importance. Such methods are needed in various branches of natural sciences, particularly in physics, since a lot of physical…

数值分析 · 数学 2008-07-21 D. S. Vlachos , Z. A. Anastassi , T. E. Simos

We make use of a subtraction procedure, introduced to overcome double--counting problems in beyond--mean--field theories, in the second random--phase--approximation (SRPA) for the first time. This procedure guarantees the stability of SRPA…

核理论 · 物理学 2015-09-09 D. Gambacurta , M. Grasso , J. Engel

In order to treat immiscible two-phase flows at large density ratios and high Reynolds numbers, a three-dimensional code based on the discrete unified gas kinetic scheme (DUGKS) is developed, incorporating two major improvements. First, the…

流体动力学 · 物理学 2022-10-05 Jun Lai , Zuoli Xiao , Lian-Ping Wang

In physically inviscid fluid dynamics, "shock capturing" methods adopt either an artificial viscosity contribution or an appropriate Riemann solver algorithm. These techniques are necessary to solve the strictly hyperbolic Euler equations…

流体动力学 · 物理学 2015-05-18 G. Lanzafame

Admissible states in hyperbolic systems and related equations often form a convex invariant domain. Numerical violations of this domain can lead to loss of hyperbolicity, resulting in illposedness and severe numerical instabilities. It is…

数值分析 · 数学 2025-12-11 Kailiang Wu , Xiangxiong Zhang , Chi-Wang Shu

Modern shock-capturing schemes often suffer from numerical shock anomalies if the flow field contains strong shocks, which may limit their further application in hypersonic flow computations. In the current study, we devote our efforts to…

数值分析 · 数学 2023-05-08 Weijie Ren , Wenjia Xie , Ye Zhang , Hang Yu , Zhengyu Tian

The dynamics of quantum phase transitions poses one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of…

Numerical simulations for flow and transport in subsurface porous media often prove computationally prohibitive due to property data availability at multiple spatial scales that can vary by orders of magnitude. A number of model order…

数值分析 · 数学 2018-03-13 Gurpreet Singh , Wingtat Leung , Mary F. Wheeler

The efficiency of several first-order numerical schemes for two-layer shallow water equations are evaluated in this paper by considering different eigenvalue solutions. Specifically, the accuracy and computational cost of numerical,…

计算物理 · 物理学 2020-01-15 Nino Krvavica

Hyperbolic systems under nonconservative form arise in numerous applications modeling physical processes, for example from the relaxation of more general equations (e.g. with dissipative terms). This paper reviews an existing class of…

数值分析 · 数学 2020-05-14 Adrián Navas-Montilla , Ilhan Özgen-Xian

The purpose of this paper is to give an overview in the realm of numerical computations of polydispersed turbulent two-phase flows, using a mean-field/PDF approach. In this approach, the numerical solution is obtained by resorting to a…

流体动力学 · 物理学 2010-09-21 Eric Peirano , Sergio Chibbaro , Jacek Pozorski , Jean-Pierre Minier

Slug flows are a typical intermittent two-phase flow pattern that can occur in submarine pipelines connecting the wells to the production facility and that is known to cause undesired consequences. In this context, computational fluid…

计算物理 · 物理学 2018-09-10 Thomas Douillet-Grellier , Florian De Vuyst , Henri Calandra , Philippe Ricoux

In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave…

数值分析 · 数学 2021-03-17 Alessio Fumagalli , Anna Scotti

In this work, a two dimensional system of polymer grafted nanoparticles is analyzed using large-scale Langevin Dymanics simulations. Effective core-softened potentials were obtained for two cases: one where the polymers are free to rotate…

软凝聚态物质 · 物理学 2021-06-25 Murilo S. Marques , Thiago P. Nogueira , Marcia C. Barbosa , José Rafael Bordin

We consider a test problem for Navier-Stokes solvers based on the flow around a cylinder that exhibits chaotic behavior, to examine the behavior of various numerical methods. We choose a range of Reynolds numbers for which the flow is…

数值分析 · 数学 2024-08-19 Henry von Wahl , L. Ridgway Scott

In this paper we consider the spatial semi-discretization of conservative PDEs. Such finite dimensional approximations of infinite dimensional dynamical systems can be described as flows in suitable matrix spaces, which in turn leads to the…

数值分析 · 数学 2022-03-01 Michele Benzi , Milo Viviani

The following paper presents two simulation strategies for compressible two-phase or multicomponent flows. One is a full non-equilibrium model in which the pressure and velocity are driven towards the equilibrium at interfaces by numerical…

计算物理 · 物理学 2021-08-13 Rémi Abgrall , Paola Bacigaluppi , Barbara Re

In this work, we propose a novel transport model for soluble surfactants in two-phase flows. In a two-phase flow, the soluble surfactants can adsorb/desorb from/into the bulk of any of the phases to the interface and can modify the…

流体动力学 · 物理学 2025-10-14 Suhas S. Jain

The problem of two-phase flow in straight capillaries of polygonal cross section displays many of the dynamic characteristics of rapid interfacial motions associated with pore-scale displacements in porous media. Fluid inertia is known to…

流体动力学 · 物理学 2018-07-03 Alexander Yelkhovsky , W. Val Pinczewski

In the present study, two schemes named face discernment and flux correction are proposed to achieve single-phase transportation of free charge in multiphase electrohydrodynamic(EHD) problems. Many EHD phenomena occur between air and…

流体动力学 · 物理学 2022-07-19 Qiang Liu , Jie Zhang , Jian Wu