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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

Accurate prediction of the hydrodynamic forces on particles is central to the fidelity of Euler-Lagrange (EL) simulations of particle-laden flows. Traditional EL methods typically rely on determining the hydrodynamic forces at the positions…

Fluid Dynamics · Physics 2025-09-08 Berend van Wachem , Hani Elmestikawy , Akshay Chandran , Max Hausmann

The fluid structure interaction of cylinders in tandem arrangement is used as validation basis of a multi-domain Lagrangian-Eulerian hybrid flow solver. In this hybrid combination, separate grids of limited width are defined around every…

Fluid Dynamics · Physics 2022-07-20 George Papadakis , Vasilis A. Riziotis , Spyros G. Voutsinas

An uncertainty quantification framework is developed for Eulerian-Lagrangian models of particle-laden flows, where the fluid is modeled through a system of partial differential equations in the Eulerian frame and inertial particles are…

Computational Physics · Physics 2018-11-01 Vasileios Fountoulakis , H. S. Udaykumar , Gustaaf B. Jacobs

A new Lagrangian particle method for solving Euler equations for compressible inviscid fluid or gas flows is proposed. Similar to smoothed particle hydrodynamics (SPH), the method represents fluid cells with Lagrangian particles and is…

Numerical Analysis · Mathematics 2016-03-21 Hsin-Chiang Chen , Roman Samulyak , Wei Li

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

Eulerian-Lagrangian models of particle-laden (multiphase) flows describe fluid flow and particle dynamics in the Eulerian and Lagrangian frameworks respectively. Regardless of whether the flow is turbulent or laminar, the particle dynamics…

In probability density function (PDF) methods of turbulent flows, the joint PDF of several flow variables is computed by numerically integrating a system of stochastic differential equations for Lagrangian particles. A mathematically exact…

Fluid Dynamics · Physics 2010-06-17 J. Bakosi

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

Particle collisions are the primary mechanism of inter-particle momentum and energy exchange for dense particle-laden flow. Accurate approximation of this collision operator in four-way coupled Euler-Lagrange approaches remains challenging…

Computational Physics · Physics 2025-01-10 Anna Schwarz , Patrick Kopper , Emilian De Staercke , Andrea Beck

Modeling and direct numerical simulation of particle-laden flows have a tremendous variety of applications in science and engineering across a vast spectrum of scales from pollution dispersion in the atmosphere, to fluidization in the…

Current supercomputers often have a heterogeneous architecture using both CPUs and GPUs. At the same time, numerical simulation tasks frequently involve multiphysics scenarios whose components run on different hardware due to multiple…

Computational Engineering, Finance, and Science · Computer Science 2024-12-10 Samuel Kemmler , Christoph Rettinger , Ulrich Rüde , Pablo Cuéllar , Harald Köstler

A high fidelity multi-physics Eulerian computational framework is presented for the simulation of supersonic parachute inflation during Mars landing. Unlike previous investigations in this area, the framework takes into account an initial…

Computational Engineering, Finance, and Science · Computer Science 2019-12-05 Daniel Z. Huang , Philip Avery , Charbel Farhat , Jason Rabinovitch , Armen Derkevorkian , Lee D Peterson

The simulation of thermochemical nonequilibrium for the atomic and molecular energy level populations in plasma flows requires a comprehensive modeling of all the elementary collisional and radiative processes involved. Coupling detailed…

Plasma Physics · Physics 2019-09-04 Stefano Boccelli , Federico Bariselli , Bruno Dias , Thierry E. Magin

Predicting particle transport in complex flows is traditionally achieved by solving the Navier-Stokes equations. While various numerical and experimental methods exist, they typically require deep physical insights and incur high…

Fluid Dynamics · Physics 2025-11-03 Jingdi Wan , Hongping Wang , Bo Liu , Xiaolei Yang , Xiaodong Hu , Shengze Cai , Guowei He , Yang Liu

Standard Eulerian--Lagrangian (EL) methods generally employ drag force models that only represent the mean hydrodynamic force acting upon a particle-laden suspension. Consequently, higher-order drag force statistics, arising from…

Fluid Dynamics · Physics 2021-03-22 Aaron M. Lattanzi , Vahid Tavanashad , Shankar Subramaniam , Jesse Capecelatro

The Lagrangian probability-density-function model, proposed in Part I for dense particle-laden turbulent flows, is validated here against Eulerian-Lagrangian direct numerical simulation (EL) data for different homogeneous flows, namely…

Fluid Dynamics · Physics 2018-03-02 Alessio Innocenti , Rodney O Fox , Maria Vittoria Salvetti , Sergio Chibbaro

We propose a novel Particle Flow Map (PFM) method to enable accurate long-range advection for incompressible fluid simulation. The foundation of our method is the observation that a particle trajectory generated in a forward simulation…

Graphics · Computer Science 2024-05-17 Junwei Zhou , Duowen Chen , Molin Deng , Yitong Deng , Yuchen Sun , Sinan Wang , Shiying Xiong , Bo Zhu

Inertial particles in turbulent flows are characterised by preferential concentration and segregation and, at sufficient mass loading, dense particle clusters may spontaneously arise due to momentum coupling between the phases. These…

Fluid Dynamics · Physics 2019-01-30 Alessio Innocenti , Rodney O Fox , Sergio Chibbaro

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
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