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We consider a fluid-structure interaction problem in the Eulerian, phase-field formulation. The problem is described using the Navier--Stokes equations for a viscous, incompressible fluid, coupled with the incompressible hyperelasticity…

Numerical Analysis · Mathematics 2026-03-30 Francis R. A. Aznaran , Martina Bukač , Boris Muha

We propose a seamless multiscale method which approximates the macroscopic behavior of the passive advection-diffusion equations with steady incompressible velocity fields with multi-spatial scales. The method uses decompositions of the…

Numerical Analysis · Mathematics 2016-06-22 Yoonsang Lee , Bjorn Engquist

This paper presents a geometric microcanonical ensemble perspective on two-dimensional Truncated Euler flows, which contain a finite number of (Fourier) modes and conserve energy and enstrophy. We explicitly perform phase space volume…

Fluid Dynamics · Physics 2022-05-18 Adrian van Kan , Alexandros Alexakis , Marc Brachet

The dynamics of compressible liquid-vapor flow depends sensitively on the microscale behavior at the phase boundary. We consider a sharp-interface approach, and propose a multiscale model to describe liquid-vapor flow accurately, without…

Numerical Analysis · Mathematics 2022-09-14 Jim Magiera , Christian Rohde

Although Lattice Boltzmann Method (LBM) is relatively straightforward, it demands a well-crafted framework to handle the complex partial differential equations involved in multiphase flow simulations. For the first time to our knowledge,…

Numerical Analysis · Mathematics 2026-04-02 Matteo Maria Piredda , Pietro Asinari

This paper presents a new multiphase flow code, cast under an open-source GNU license. The main characteristics of the different flow models are given, then the numerical method used is briefly presented: it includes temporal flow solvers,…

Fluid Dynamics · Physics 2018-05-04 Kevin Schmidmayer , Antoine Marty , Fabien Petitpas , Eric Daniel

We present a scalable, high-order implicit large-eddy simulation (ILES) approach for incompressible transitional flows. This method employs the mass-conserving mixed stress (MCS) method for discretizing the Navier-Stokes equations. The MCS…

Computational Engineering, Finance, and Science · Computer Science 2024-08-14 Philip L. Lederer , Xaver Mooslechner , Joachim Schöberl

The diffuse medium in and around galaxies can exist in a multi-phase state: small, cold gas clouds contributing significantly to the total mass embedded in pressure equilibrium with a hotter, more diffuse volume-filling component. Modeling…

Astrophysics of Galaxies · Physics 2022-12-28 Rainer Weinberger , Lars Hernquist

In this work, model closures of the multiphase Reynolds-Average Navier-Stokes (RANS) equations are developed for homogeneous, fully-developed gas--particle flows. To date, the majority of RANS closures are based on extensions of…

Fluid Dynamics · Physics 2021-07-07 S. Beetham , R. O. Fox , J. Capecelatro

The focus of this study is to understand the evolution of instability in centrifugal buoyancy-induced flow in a rotating system. The problem is of interest in atmospheric flows as well as in engineering applications. In this study, we…

Fluid Dynamics · Physics 2021-11-16 Deepak Saini , Richard D. Sandberg

The Euler-Maxwell system as a hydrodynamic model for plasma physics to describe the dynamics of the compressible electrons in a constant charged non-moving ion background is studied. The global smooth flow with small amplitude is…

Analysis of PDEs · Mathematics 2011-07-12 Renjun Duan

The Eulerian-Lagrangian approach based on Large-Eddy Simulation (LES) is one of the most promising and viable numerical tools to study turbulent dispersed flows when the computational cost of Direct Numerical Simulation (DNS) becomes too…

Fluid Dynamics · Physics 2017-06-02 Alessio Innocenti , Cristian Marchioli , Sergio Chibbaro

In this paper, we present a numerical scheme for the diffuse-interface model in [Abels, Garcke, Gr\"un, M3AS 22(3), 2012] for two-phase flow of immiscible, incompressible fluids. As that model is in particular consistent with…

Numerical Analysis · Mathematics 2012-10-19 Günther Grün , Fabian Klingbeil

We present an extensive direct numerical simulation of statistically steady, homogeneous, isotropic turbulence in two-dimensional, binary-fluid mixtures with air-drag-induced friction by using the Cahn-Hilliard-Navier-Stokes equations. We…

Fluid Dynamics · Physics 2016-11-16 Nairita Pal , Prasad Perlekar , Anupam Gupta , Rahul Pandit

Multiphase flows are characterized by sharp moving interfaces, separating different fluids or phases. In many cases the dynamics of the interface determines the behavior of the flow. In a coarse, or reduced order model, it may therefore be…

Fluid Dynamics · Physics 2021-08-12 Xianyang Chen , Jiacai Lu , Gretar Tryggvason

We present a set of effective outflow/open boundary conditions and an associated algorithm for simulating the dynamics of multiphase flows consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids in domains involving outflows or…

Fluid Dynamics · Physics 2018-05-09 Zhiguo Yang , Suchuan Dong

In the present thesis, we are interested in the description of the dynamics of flows on large scales. In this context, the fluids are governed by rotational, weak compressibility and stratification effects, whose importance is measured by…

Analysis of PDEs · Mathematics 2022-05-25 Gabriele Sbaiz

We investigate the effects of a two-dimensional, incompressible, turbulent flow on mono-disperse soft granular particles and show the emergence of a crystalline phase due to the interplay of Stokesian drag (measured through the Stokes…

Fluid Dynamics · Physics 2022-12-13 Mohit Gupta , Pinaki Chaudhuri , Jèrèmie Bec , Samriddhi Sankar Ray

The Euler-Poincar\'e approach to complex fluids is used to derive multiscale equations for computationally modelling Euler flows as a basis for modelling turbulence. The model is based on a \emph{kinematic sweeping ansatz} (KSA) which…

Fluid Dynamics · Physics 2015-06-04 Darryl D. Holm , Cesare Tronci

We propose a one-way coupled model that tracks individual primary particles in a conceptually simple cellular flow setup to predict flocculation in turbulence. This computationally efficient model accounts for Stokes drag, lubrication,…

Fluid Dynamics · Physics 2020-04-22 K. Zhao , B. Vowinckel , T. -J. Hsu , T. Köllner , B. Bai , E. Meiburg