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This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical space is formulated in term of an augmented system of…

偏微分方程分析 · 数学 2021-10-01 Benjamin Boutin , Frédéric Coquel , Philippe G. LeFloch

A multi-scale framework was recently proposed for more realistic molecular dynamics simulations in continuum solvent models by coupling a molecular mechanics treatment of solute with a fluid mechanics treatment of solvent, where we…

生物物理 · 物理学 2018-01-17 Li Xiao , Ray Luo

A numerical framework for rigorous linear stability analysis of two-phase stratified flows of two immiscible fluids in horizontal circular pipes is presented. For the first time, three-dimensional disturbances, including those at the…

流体动力学 · 物理学 2023-07-17 Ilya Barmak , Alexander Gelfgat , Neima Brauner

We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces, and it is shown to be more accurate than the parabolic…

计算物理 · 物理学 2020-01-23 Petr Karnakov , Sergey Litvinov , Petros Koumoutsakos

We consider a sharp-interface approach for the inviscid isothermal dynamics of compressible two-phase flow, that accounts for phase transition and surface tension effects. To fix the mass exchange and entropy dissipation rate across the…

流体动力学 · 物理学 2016-11-10 Christian Rohde , Christoph Zeiler

We present an exponentially convergent semi-implicit meshless algorithm for the solution of Navier-Stokes equations in complex domains. The algorithm discretizes partial derivatives at scattered points using radial basis functions as…

数值分析 · 数学 2021-06-15 Shantanu Shahane , Surya Pratap Vanka

In this paper, a novel fully-explicit weakly compressible solver is developed for solving incompressible two-phase flows. The two-phase flow is modelled by coupling the general pressure equation, momentum conservation equations and the…

计算物理 · 物理学 2025-06-27 Ashley Melvin , J. C. Mandal

A new diffuse interface model for a two-phase flow of two incompressible fluids with different densities is introduced using methods from rational continuum mechanics. The model fulfills local and global dissipation inequalities and is also…

流体动力学 · 物理学 2010-11-03 Helmut Abels , Harald Garcke , Günther Grün

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

We propose a numerical methodology for the numerical simulation of distinct, interacting physical processes described by a combination of compressible, inert and reactive forms of the Euler equations, multiphase equations and elastoplastic…

计算物理 · 物理学 2018-05-09 Louisa Michael , Nikolaos Nikiforakis

A proven methodology to solve multiphase flows is based on the one-fluid formulation of the governing equations, which treats the phase transition across the interface as a single fluid with varying properties and adds additional source…

流体动力学 · 物理学 2025-01-08 Jordi Poblador-Ibanez , Nicolas Valle , Bendiks Jan Boersma

Writing high performance solvers for engineering applications is a delicate task. These codes are often developed on an application to application basis, highly optimized to solve a certain problem. Here, we present our work on developing a…

计算工程、金融与科学 · 计算机科学 2018-08-14 Niclas Jansson , Rahul Bale , Keiji Onishi , Makoto Tsubokura

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 address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so…

偏微分方程分析 · 数学 2018-08-17 George Avalos , Pelin Guven Geredeli , Justin T. Webster

An understanding of the hydrodynamics of multiphase processes is essential for their design and operation. Multiphase computational fluid dynamics (CFD) simulations enable researchers to gain insight which is inaccessible experimentally.…

数值分析 · 数学 2021-01-18 Tanyakarn Treeratanaphitak , Nasser Mohieddin Abukhdeir

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

偏微分方程分析 · 数学 2022-10-26 Chao Zhang , Lifeng Wang

Multiscale mixed methods based on non-overlapping domain decompositions can efficiently handle the solution of significant subsurface flow problems in very heterogeneous formations of interest to the industry, especially when implemented on…

数值分析 · 数学 2025-02-25 Dilong Zhou , Rafael Guiraldello , Felipe Pereira

The present paper deals with the problem of improving the efficiency of large scale turbulent flow simulations. The high-fidelity methods for modelling turbulent flows become available for a wider range of applications thanks to the…

计算物理 · 物理学 2018-04-10 Boris Krasnopolsky

We consider time dependent thermal fluid structure interaction. The respective models are the compressible Navier-Stokes equations and the nonlinear heat equation. A partitioned coupling approach via a Dirichlet-Neumann method and a fixed…

数值分析 · 数学 2023-07-19 Philipp Birken , Tobias Gleim , Detlef Kuhl , Andreas Meister

The paper focuses on the development of numerical methods for the compressible Euler equations. It is well-known that if the Mach number is small, the system becomes stiff and hence explicit schemes suffer from severe time-step…

数值分析 · 数学 2026-04-30 Alina Chertock , Smadar Karni , Alexander Kurganov , Lorenzo Micalizzi