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The aim of this paper is to introduce a new computational fluid dynamics method to be called unsmoothed particle hydrodynamics SPH$-i$ which makes few assumptions and makes no assumption beyond the Navier-Stokes equations. The most…

Fluid Dynamics · Physics 2018-08-01 Kalale Chola

We introduce adaptive particle refinement for compressible smoothed particle hydrodynamics (SPH). SPH calculations have the natural advantage that resolution follows mass, but this is not always optimal. Our implementation allows the user…

Instrumentation and Methods for Astrophysics · Physics 2024-09-19 Rebecca Nealon , Daniel Price

We present a MATLAB code that implements the Smoothed Particle Hydrodynamics (SPH) method. The paper reviews the continuous Navier-Stokes equations as well as their SPH approximation, adopting a coherent notation that allows to make easy…

Fluid Dynamics · Physics 2022-09-13 Marco Sutti

Although the Smoothed Particle Hydrodynamics (SPH) method has been demonstrated as a promising numerical solver for multiphase flow problems due to its Lagrangian nature, its application to complex channel flow may encounter additional…

Fluid Dynamics · Physics 2025-06-18 Zi-Yang Zhan , Zhen Chen

Modulating the number of particles in a region is key to accurately capturing the nuances in compressible flows with Smoothed Particle Hydrodynamics (SPH). This paper presents a volume-based adaptive refinement and derefinement procedure,…

Fluid Dynamics · Physics 2025-08-08 Navaneet Villodi , Prabhu Ramachandran

Smoothed particle hydrodynamics (SPH) has been extensively studied in computer graphics to animate fluids with versatile effects. However, SPH still suffers from two numerical difficulties: the particle deficiency problem, which will…

Graphics · Computer Science 2020-01-29 Xiaowei He , Huamin Wang , Guoping Wang , Hongan Wang , Enhua Wu

Smoothed Particle Hydrodynamics is reformulated in terms of the convolution of the original hydrodynamics equations, and the new evolution equations for the particles are derived. The same evolution equation of motion is also derived using…

Astrophysics · Physics 2009-11-07 Shu-ichiro Inutsuka

In this paper we present the equations and some basic applications of relativistic SPH. The equations are generated under the assumption that there are no interaction terms between the fluid modelled and the background space-time, i.e. we…

Astrophysics · Physics 2007-05-23 Stuart Muir , Joe Monaghan

This paper presents a stabilization scheme which addresses the rank-deficiency problem in meshless collocation methods for solid mechanics. Specifically, Smooth-Particle Hydrodynamics (SPH) in the Total Lagrangian formalism is considered.…

Computational Physics · Physics 2015-06-23 Georg C. Ganzenmüller

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 REMIX, a smoothed particle hydrodynamics (SPH) scheme designed to alleviate effects that typically suppress mixing and instability growth at density discontinuities in SPH simulations. We approach this problem by directly…

In smooth-particle hydrodynamics (SPH), artificial viscosity is necessary for the correct treatment of shocks, but often generates unwanted dissipation away from shocks. We present a novel method of controlling the amount of artificial…

Instrumentation and Methods for Astrophysics · Physics 2011-05-06 Lee Cullen , Walter Dehnen

We present a novel and fast application to generate glass-like initial conditions for Lagrangian hydrodynamic schemes (e.g. Smoothed Particle Hydrodynamics (SPH)) following arbitrary density models based on weighted Voronoi tessellations…

Instrumentation and Methods for Astrophysics · Physics 2019-08-02 Alexander Arth , Julius Donnert , Ulrich Steinwandel , Ludwig Böss , Timo Halbesma , Martin Pütz , David Hubber , Klaus Dolag

The numerical accuracy of particle-based approximations in Smoothed Particle Hydrodynamics (SPH) is significantly affected by the spatial uniformity of particle distributions, especially for second-order derivatives. This study aims to…

Numerical Analysis · Mathematics 2026-01-29 Zhonghua Qiao , Yifan Wei

The behavior of IAD_0 scheme, a fully conservative SPH scheme based on a tensor formulation, is analyzed in connection with several astrophysical scenarios, and compared to the same simulations carried out with the standard SPH technique.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-05 Ruben M. Cabezon , Domingo Garcia-Senz , Jose Antonio Escartin

We present results based on an implementation of the Godunov Smoothed Particle Hydrodynamics (GSPH), originally developed by Inutsuka (2002), in the GADGET-3 hydrodynamic code. We first review the derivation of the GSPH discretization of…

Instrumentation and Methods for Astrophysics · Physics 2015-05-28 Giuseppe Murante , Stefano Borgani , Riccardo Brunino , Suneg-Hoon Cha

The smoothed particle hydrodynamics (SPH) technique is a purely Lagrangian method, used in numerical simulations of fluids in astrophysics and computational fluid dynamics, among many other fields. SPH simulations with detailed physics…

We present the results from a two-day study in which we discussed various implementations of Smooth Particle Hydrodynamics (SPH), one of the leading methods used across a variety of areas of large-scale astrophysical simulations. In…

Astrophysics · Physics 2007-05-23 Piet Hut , Lars Hernquist , George Lake , Jun Makino , Steve McMillan , Thomas Sterling

This paper proposes and validates two new particle regularization techniques for the Smoothed Particle Hydrodynamics (SPH) numerical method to improve its stability and accuracy for free surface flow simulations. We introduce a general form…

Fluid Dynamics · Physics 2022-04-05 Mojtaba Jandaghian , Herman Musumari Siaben , Ahmad Shakibaeinia

In this paper we present solutions to three short comings of Smoothed Particles Hydrodynamics (SPH) encountered in previous work when applying it to Giant Impacts. First we introduce a novel method to obtain accurate SPH representations of…

Earth and Planetary Astrophysics · Physics 2017-03-29 Christian Reinhardt , Joachim Stadel