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The aim of the present paper is to introduce and to discuss inconsistencies errors that may arise when Eulerian and Lagrangian models are coupled for the simulations of turbulent poly-dispersed two-phase flows. In these hydrid models, two…

Fluid Dynamics · Physics 2011-04-07 Sergio Chibbaro , Jean-Pierre Minier

We present a computational framework for modeling large-scale particle-laden flows in complex domains with the goal of enabling simulations in medical-image derived patient specific geometries. The framework is based on a volume-filtered…

Fluid Dynamics · Physics 2023-11-28 Abhilash Reddy Malipeddi , C. Alberto Figueroa , Jesse Capecelatro

We present a new particle tracking algorithm to accurately resolve large deformation and rotational motion fields, which takes advantage of both local and global particle tracking algorithms. We call this method the ScalE and Rotation…

A novel method combining the fully Lagrangian approach (FLA) and kernel regression has been developed for two-way coupled simulations of evaporating sprays. The carrier phase is incompressible viscous flow described by the Navier-Stokes…

Fluid Dynamics · Physics 2025-12-25 C. P. Stafford , O. Rybdylova

This study presents the development of a compact gas-kinetic scheme using an arbitrary Lagrangian-Eulerian (ALE) formulation for structured meshes. Unlike the Eulerian formulation, the ALE approach effectively tracks flow discontinuities,…

Computational Physics · Physics 2026-02-11 Yue Zhang , Xing Ji , Yibing Chen , Fengxiang Zhao , Kun Xu

Surfactant transport plays an important role in many technical processes and industrial applications such as chemical reactors, microfluidics, printing and coating technology. High fidelity numerical simulations of two-phase flow phenomena…

Fluid Dynamics · Physics 2023-11-16 T. Antritter , T. Josyula , T. Marić , D. Bothe , P. Hachmann , B. Buck , T. Gambaryan-Roisman , P. Stephan

A simulation framework based on the level-set and the immersed boundary methods (LS-IBM) has been developed for reactive transport problems in porous media involving a moving solid-fluid interface. The interface movement due to surface…

Fluid Dynamics · Physics 2023-04-13 Mehrdad Yousefzadeh , Yinuo Yao , Ilenia Battiato

A diffused-interface approach based on the Allen-Cahn phase field equation is developed within a high-order Discontinuous Galerkin framework. The interface capturing technique is based on the balance between explicit diffusion and…

Fluid Dynamics · Physics 2023-06-09 Niccolò Tonicello , Matthias Ihme

This paper presents novel insights about the influence of soluble surfactants on bubble flows obtained by Direct Numerical Simulation (DNS). Surfactants are amphiphilic compounds which accumulate at fluid interfaces and significantly modify…

Fluid Dynamics · Physics 2018-12-14 Chiara Pesci , Andre Weiner , Holger Marschall , Dieter Bothe

This study presents a high-order, space-time coupled arbitrary Lagrangian Eulerian (ALE) compact gas-kinetic scheme (GKS) for the shallow water equations on moving unstructured meshes. The proposed method preserves both the geometric…

Numerical Analysis · Mathematics 2025-10-17 Fengxiang Zhao , Jianping Gan , Kun XU

Gas-particle flows are commonly simulated through two-fluid model at industrial-scale. However, these simulations need very fine grid to have accurate flow predictions, which is prohibitively demanding in terms of computational resources.…

A hybrid Eulerian-Lagrangian method is proposed to simulate passive scalar transport on arbitrary shape interface. In this method, interface deformation is tracked by an Eulerian method while the transport of the passive scalar on the…

Computational Physics · Physics 2023-04-20 Yu Fan , Yujie Zhu , Xiaoliang Li , Xiangyu Hu , Nikolaus A. Adams

An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit…

Numerical Analysis · Mathematics 2022-01-11 Filip Ivančić , Maxim Solovchuk

This work presents an arbitrary Lagrangian Eulerian (ALE) method for the compressible two-phase flow ejecta transporting model with the HLLC-2D Riemann solver. We focus on researching the precise equation to describe the interactions…

Numerical Analysis · Mathematics 2024-05-27 Jianqiao Zhang , Wei Yan , Xianggui Li

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

We develop a three-dimensional Eulerian framework to simulate fluid-structure interaction (FSI) problems on a fixed Cartesian grid using the geometric volume-of-fluid (VOF) method. The coupled problem involves incompressible flow and…

Fluid Dynamics · Physics 2025-05-30 Soham Prajapati , Ali Fakhreddine , Krishnan Mahesh

Semi-implicit semi-Lagrangian (SISL) methods are commonly used for the shallow water equations (SWE) because they allow for larger time steps than those permitted by the Courant-Friedrichs-Lewy (CFL) stability condition in Eulerian schemes.…

Numerical Analysis · Mathematics 2026-05-05 Michael Chiwere , Daniel Fortunato , Grady B. Wright

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…

Fluid Dynamics · Physics 2024-06-27 Anand S Bharadwaj , Pratik Suchde , Prapanch Nair

Understanding the dynamics of phase boundaries in fluids requires quantitative knowledge about the microscale processes at the interface. We consider the sharp-interface motion of compressible two-component flow, and propose a heterogeneous…

Numerical Analysis · Mathematics 2023-09-06 Jim Magiera , Christian Rohde

Particle-laden effects in high-speed flows require a coupled Euler and Lagrangian prediction technique with varying fidelity of thermochemical models, depending on the simulation conditions of interest. This requirement makes the…

Fluid Dynamics · Physics 2025-12-23 Hyeon Woo Nam , Tae Woong Jeong , Sung Min Jo
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