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Simulations using the Smoothed Particle Hydrodynamics (SPH) technique typically include numerical viscosity to model shocks and maintain particle order on the kernel scale. This numerical viscosity is composed of linear and quadratic terms,…

Solar and Stellar Astrophysics · Physics 2025-06-02 Cheng Chen , C. J. Nixon

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

A complete and detailed knowledge of the structure of the gaseous component in protoplanetary discs is essential to the study of dust evolution during the early phases of pre-planetesimal formation. The aim of this paper is to determine if…

Solar and Stellar Astrophysics · Physics 2015-06-15 Serena Arena , Jean-François Gonzalez

In order to study the capabilities of SPH in self-gravitating hydrodynamical problems, we have performed a series of three-dimensional numerical simulations of the collapse of a rotating homogeneous cloud, varying the number of particles…

Astrophysics · Physics 2007-05-23 Henri M. J. Boffin , Neil Francis , Anthony P. Whitworth

We present a novel artificial diffusion method to circumvent the instabilities associated with the standard finite element approximation of convection-diffusion equations. Motivated by the micromorphic approach, we introduce an auxiliary…

Numerical Analysis · Mathematics 2025-06-19 Soheil Firooz , B. Daya Reddy , Paul Steinmann

Robust empirical constitutive laws for granular materials in air or in a viscous fluid have been expressed in terms of timescales based on the dynamics of a single particle. However, some behaviours such as viscosity bifurcation or shear…

Soft Condensed Matter · Physics 2015-05-13 Pierre Rognon , Cyprien Gay

This article presents results of further investigation of the problem of spurious interface fragmentation in the multiphase SPH. In order to remove arising instabilities, many authors introduced the artificial interface correction…

Computational Physics · Physics 2016-03-01 Kamil Szewc , Michał Tadeusz Lewandowski

Wave phenomena in vibrofluidized dry and partially wet granular materials confined in a quasi-two-dimensional geometry are investigated with numerical simulations considering individual particles as hard spheres. Short ranged cohesive…

Soft Condensed Matter · Physics 2018-06-06 Kai Huang

This article describes the fluid dynamics video, "A Numerical Simulation of a Plunging Breaking Wave", which was submitted to the gallery of fluid motion at the 2009 APS/DFD conference. The simulation was of a deep-water plunging breaking…

Fluid Dynamics · Physics 2015-05-14 Paul Adams , Kevin George , Mike Stephens , Kyle A. Brucker , Thomas O'Shea , Douglas Dommermuth

Accounting for the Reynolds number is critical in numerical simulations of turbulence, particularly for subsonic flow. For Smoothed Particle Hydrodynamics (SPH) with constant artificial viscosity coefficient alpha, it is shown that the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Daniel J. Price

This paper presents the Smoothed particle hydrodynamics (SPH) model to examine the propagation of a regular and irregular waves. The SPH method is a grid-less Lagrangian approach which is capable of good accuracy in tracking large…

Fluid Dynamics · Physics 2009-11-11 D. De Padova , R. A. Dalrymple , M. Mossa , A. F. Petrillo

Density discontinuities cannot be precisely modelled in standard formulations of smoothed particles hydrodynamics (SPH) because the density field is defined smoothly as a kernel-weighted sum of neighbouring particle masses. This is a…

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

A numerical analysis of the effect of artificial viscosity is undertaken in order to understand the effect of numerical diffusion on numerical boundary feedback control. The analysis is undertaken on the linear hyperbolic systems…

Optimization and Control · Mathematics 2020-06-05 Mapundi Kondwani Banda , Gediyon Yemane Weldegiyorgis

Molecular dynamical (MD) simulations are performed to simulate two dimensional vibrofluidized granular materials in this work. Statistics on simulation results indicate that there exist shocks propagating upward in each vibrating cycle.…

Soft Condensed Matter · Physics 2007-05-23 Kai Huang , Guoqing Miao , Peng Zhang , Yifei Zhu , Rongjue Wei

We investigate the evolution of angular momentum in SPH simulations of galaxy formation, paying particular attention to artificial numerical effects. We find that a cold gas disc forming in an ambient hot gas halo receives a strong…

Astrophysics · Physics 2009-11-10 T. Okamoto , A. Jenkins , V. R. Eke , V. Quilis , C. S. Frenk

We perform simulations of the Kelvin-Helmholtz instability using smoothed particle hydrodynamics (SPH). The instability is studied both in the linear and strongly non-linear regimes. The smooth, well-posed initial conditions of Lecoanet et…

Instrumentation and Methods for Astrophysics · Physics 2019-08-07 Terrence S. Tricco

Among the numerous anomalies of water, the acceleration of dynamics under pressure is particularly puzzling. Whereas the diffusivity anomaly observed in experiments has been reproduced in several computer studies, the parallel viscosity…

An analytical theory is developed that describes acoustic microstreaming produced by the interaction of an oscillating gas bubble with a viscoelastic particle. The bubble is assumed to undergo axisymmetric oscillation modes, which can…

Fluid Dynamics · Physics 2025-02-12 Alexander Doinikov , Cyril Mauger , Philippe Blanc-Benon , Claude Inserra

Like emulsions, pastes and many other forms of soft condensed matter, aqueous foams present slow mechanical relaxations when subjected to a stress too small to induce any plastic flow. To identify the physical origin of this viscoelastic…

Soft Condensed Matter · Physics 2016-08-16 S. Vincent-Bonnieu , R. Höhler , S. Cohen-Addad