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In this paper we propose a new Eulerian modeling and related accurate and robust numerical methods, describing polydisperse evaporating sprays, based on high order moment methods in size. The main novelty of this model is its capacity to…

Numerical Analysis · Mathematics 2019-04-22 Mohamed Essadki , Stephane De Chaisemartin , Frédérique Laurent , Marc Massot

Solving the population balance equation (PBE) for the dynamics of a dispersed phase coupled to a continuous fluid is expensive. Still, one can reduce the cost by representing the evolving particle density function in terms of its moments.…

A numerical procedure was developed for solving equations for compressible granular multiphase flows in which the particle volume fraction can range dynamically from very dilute to very dense. The procedure uses a low-dissipation and…

Computational Physics · Physics 2014-10-20 Ryan W. Houim , Elaine S. Oran

The present contribution introduces a fourth-order moment formalism for particle trajectory crossing (PTC) in the framework of multiscale modeling of disperse multiphase flow. In our previous work, the ability to treat PTC was examined with…

Numerical Analysis · Mathematics 2018-09-07 Christophe Chalons , Frédérique Laurent , Marc Massot , Aymeric Vié

We propose an Eulerian formulation for the triboelectric charging of powder flows. Recently, continuum descriptions of the charging of monodisperse and bidisperse powder appeared. Now, we propose the first Eulerian formulation for this type…

Fluid Dynamics · Physics 2021-06-16 Metin Zeybek , Holger Grosshans

Our work is motivated by the analysis of ash plume dynamics, arising in the study of volcanic eruptions. Such phenomena are characterized by large Reynolds number (exceeding $10^7$) and a large number of polydispersed particles~[1]. Thus,…

We present a new Eulerian framework for the computation of turbulent compressible multiphase channel flows, specifically to assess turbulence modulation by dispersed particulate matter in dilute concentrations but with significant mass…

Fluid Dynamics · Physics 2025-08-12 Ajay Dhankarghare , Yuval Dagan

Following the seminal work of F. Bouchut on zero pressure gas dynamics which has been extensively used for gas particle-flows, the present contribution investigates quadrature-based velocity moments models for kinetic equations in the…

Numerical Analysis · Mathematics 2012-06-25 Christophe Chalons , Damien Kah , Marc Massot

The scope of the present study is Eulerian modeling and simulation of polydisperse liquid sprays undergoing droplet coalescence and evaporation. The fundamental mathematical description is the Williams spray equation governing the joint…

Numerical Analysis · Mathematics 2010-11-15 Rodney O. Fox , Frédérique Laurent , Marc Massot

The unique properties of anisotropic and composite particles are increasingly being leveraged in modern particulate products. However, tailored synthesis of particles characterized by multi-dimensional dispersed properties remains in its…

Analysis of PDEs · Mathematics 2023-04-24 Adeel Muneer , Tobias Schikarski , Lukas Pflug

We develop a novel fast iterative moment method for the steady-state simulation of near-continuum flows, which are modeled by the high-order moment system derived from the Boltzmann-BGK equation. The fast convergence of the present method…

Numerical Analysis · Mathematics 2025-07-30 Guanghan Li , Chunwu Wang , Zhicheng Hu

In this paper a fully Eulerian solver for the study of multiphase flows for simulating the propagation of surface gravity waves over submerged bodies is presented. We solve the incompressible Navier-Stokes equations coupled with the volume…

Fluid Dynamics · Physics 2021-06-02 Francesco De Vita , Filippo De Lillo , Roberto Verzicco , Miguel Onorato

The solution of the Enskog equation for the one-body velocity distribution of a moderately dense, arbitrary mixture of inelastic hard spheres undergoing planar shear flow is described. A generalization of the Grad moment method, implemented…

Soft Condensed Matter · Physics 2009-11-10 James F. Lutsko

Quadrature-based moment-closure methods are a class of approximations that replace high-dimensional kinetic descriptions with lower-dimensional fluid models. In this work we investigate some of the properties of a sub-class of these methods…

Numerical Analysis · Mathematics 2013-10-17 Yongtao Cheng , James A. Rossmanith

We present a generalized hydrodynamic stability theory for interacting particles in polydisperse particle-laden flows. The addition of dispersed particulate matter to a clean flow can either stabilize or destabilize the flow, depending on…

Fluid Dynamics · Physics 2022-04-20 Zhixuan Liu , Yuval Dagan

Gaussian mixture models are universal approximators in the sense that any smooth density can be approximated arbitrarily well with a Gaussian mixture model with enough components. Due to their broad expressive power, Gaussian mixture models…

Computation · Statistics 2025-02-12 Haley Colgate Kottler , Julia Lindberg , Jose Israel Rodriguez

Currently, Eulerian flow solvers are very efficient in accurately resolving flow structures near solid boundaries. On the other hand, they tend to be diffusive and to dampen high-intensity vortical structures after a short distance away…

Numerical Analysis · Mathematics 2015-06-05 Artur Palha , Lento Manickathan , Carlos Simao Ferreira , Gerard van Bussel

The numerical simulation of multiphase flows involving dispersed components with large scale disparities, such as the collisions between millimeter-sized bubbles and micron-sized mineral particles in flotation, poses a significant…

Fluid Dynamics · Physics 2026-05-21 Linfeng Jiang , Enrico Calzavarini , Dominik Krug

The dynamics of cavitation bubbles are important in many flows, but their small sizes and high number densities often preclude direct numerical simulation. We present a computational model that averages their effect on the flow over larger…

Fluid Dynamics · Physics 2023-01-24 Spencer H. Bryngelson , Rodney O. Fox , Tim Colonius

In this paper we study the motion of a fluid with several dispersed particles whose concentration is very small (smaller than $10^{-3}$), with possible applications to problems coming from geophysics, meteorology, and oceanography. We…

Atmospheric and Oceanic Physics · Physics 2015-01-20 Luigi Carlo Berselli , Matteo Cerminara , Traian Iliescu
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