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We introduce a full-Lagrangian heterogeneous multiscale method (LHMM) to model complex fluids with microscopic features that can extend over large spatio-temporal scales, such as polymeric solutions and multiphasic systems. The proposed…

Fluid Dynamics · Physics 2022-11-22 Nicolas Moreno , Marco Ellero

A fundamental difficulty of studying gas-liquid pipe flows is the prediction of the occurrence and characteristics of the slug flow regime, which plays a crucial role in the safety design of oil pipelines. Current empirical methods and…

Fluid Dynamics · Physics 2024-05-24 Massoud Rezavand , Xiangyu Hu

Hydrodynamic cosmological simulations at present usually employ either the Lagrangian SPH technique, or Eulerian hydrodynamics on a Cartesian mesh with adaptive mesh refinement. Both of these methods have disadvantages that negatively…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Volker Springel

In this paper, we tackle a persistent numerical instability within the total Lagrangian smoothed particle hydrodynamics (TLSPH) solid dynamics. Specifically, we address the hourglass modes that may grow and eventually deteriorate the…

Computational Engineering, Finance, and Science · Computer Science 2024-10-10 Dong Wu , Xiaojing Tang , Shuaihao Zhang , Xiangyu Hu

Standard formulations of smoothed particle hydrodynamics (SPH) are unable to resolve mixing at fluid boundaries. We use an error and stability analysis of the generalised SPH equations of motion to prove that this is due to two distinct…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 J. I. Read , T. Hayfield , O. Agertz

A three-dimensional model is presented for the prediction of solidification behavior using a nonlinear transformation of the enthalpy equation in a Smoothed Particle Hydrodynamics (SPH) discretization. The effect of phase change in the form…

Fluid Dynamics · Physics 2022-05-31 Amirsaman Farrokhpanah , Javad Mostaghimi , Markus Bussmann

When using a formulation of Smooth Particle Hydrodynamics (SPH) which conserves momentum exactly the motion of the particles is observed to be unstable to negative stress. It is also found that under normal circumstances a lattice of SPH…

Astrophysics · Physics 2007-05-23 Joseph Peter Morris

In this paper we investigate whether Smoothed Particle Hydrodynamics (SPH), equipped with artificial conductivity, is able to capture the physics of density/energy discontinuities in the case of the so-called shearing layers test, a test…

Astrophysics of Galaxies · Physics 2015-05-19 Sander Valcke , Sven De Rijcke , Elke Roediger , Herwig Dejonghe

We present a new formulation of the equations of motion used in smoothed particle hydrodynamics (SPH). The spatial resolution in SPH is determined by the smoothing length, $h$, and it has become common practice for each particle to be given…

Astrophysics · Physics 2015-06-24 Richard P. Nelson , John C. B. Papaloizou

We present a new hybrid Smoothed Particle Hydrodynamics (SPH)/N-body method for modelling the collisional stellar dynamics of young clusters in a live gas background. By deriving the equations of motion from Lagrangian mechanics we obtain a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 D. A. Hubber , R. J. Allison , R. Smith , S. P. Goodwin

A coarse-grained particle model for incompressible Navier-Stokes (NS) equation is proposed based on spatial filtering by utilizing smoothed particle hydrodynamics (SPH) approximations. This model is similar to our previous developed SPH…

Fluid Dynamics · Physics 2018-02-13 X. Y. Hu , N. A. Adams

We present a 'two-fluid' implementation of dust in smoothed particle hydrodynamics (SPH) in the test particle limit. The scheme is able to handle both short and long stopping times and reproduces the short friction time limit, which is not…

Earth and Planetary Astrophysics · Physics 2015-08-19 Richard A. Booth , Debora Sijacki , Cathie J. Clarke

Lagrangian particle methods based on detailed atomic and molecular models are powerful computational tools for studying the dynamics of microscale and nanoscale systems. However, the maximum time step is limited by the smallest oscillation…

Computational Physics · Physics 2019-06-26 Ansel L. Blumers , Zhen Li , George Em Karniadakis

We present two new Lagrangian methods for hydrodynamics, in a systematic comparison with moving-mesh, SPH, and stationary (non-moving) grid methods. The new methods are designed to simultaneously capture advantages of both smoothed-particle…

Cosmology and Nongalactic Astrophysics · Physics 2015-12-15 Philip F. Hopkins

We present a new, completely Lagrangian magnetohydrodynamics code that is based on the SPH method. The equations of self-gravitating hydrodynamics are derived self-consistently from a Lagrangian and account for variable smoothing length…

Astrophysics · Physics 2009-06-23 S. Rosswog , D. Price

We compare two widely used Lagrangian approaches for modeling granular materials: the Discrete Element Method (DEM) and Smoothed Particle Hydrodynamics (SPH). DEM models individual particle interactions, while SPH treats granular materials…

Soft Condensed Matter · Physics 2025-03-03 Jaekwang Kim , Hyo-Jin Kim , Hyung-Jun Park

We present the smoothed-particle hydrodynamics simulation code, Bonsai-SPH, which is a continuation of our previously developed gravity-only hierarchical $N$-body code (called Bonsai). The code is optimized for Graphics Processing Unit…

Instrumentation and Methods for Astrophysics · Physics 2020-02-17 Jeroen Bédorf , Simon Portegies Zwart

We present entropy-limited hydrodynamics (ELH): a new approach for the computation of numerical fluxes arising in the discretization of hyperbolic equations in conservation form. ELH is based on the hybridisation of an unfiltered high-order…

General Relativity and Quantum Cosmology · Physics 2018-03-19 Federico Guercilena , David Radice , Luciano Rezzolla

Equilibrium contact angle of liquid drops over horizontal surfaces has been modeled using Smoothed Particle Hydrodynamics (SPH). The model is capable of accurate implementation of contact angles to stationary and moving contact lines. In…

Fluid Dynamics · Physics 2016-08-10 Amirsaman Farrokhpanah , Babak Samareh , Javad Mostaghimi

For conventional smoothed particle hydrodynamics (SPH), obtaining the static solution of a problem is time-consuming. To address this drawback, we propose an efficient dynamic relaxation method by adding large artificial-viscosity-based…

Computational Engineering, Finance, and Science · Computer Science 2021-03-17 Yujie Zhu , Chi Zhang , Xiangyu Hu