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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

There has been interest in recent years to assess the ability of astrophysical hydrodynamics codes to correctly model the Kelvin-Helmholtz instability. Smoothed particle hydrodynamics (SPH), in particular, has received significant…

Instrumentation and Methods for Astrophysics · Physics 2019-09-10 Terrence S. Tricco

In recent years, forest fires and maritime accidents have occurred frequently, which have had a bad impact on human production and life. Thus, the development of seaplanes is an increasingly urgent demand. It is important to study the…

Fluid Dynamics · Physics 2023-06-22 Yang Xu , Peng-Nan Sun , Xiao-Ting Huang , Salvatore Marrone , Lei-Ming Geng

To simulate the dynamics of fluid with polydisperse particles on macroscale level, one has to solve hydrodynamic equations with several relaxation terms, representing momentum transfer from fluid to particles and vice versa. For small…

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

Smoothed Particle Hydrodynamics (SPH_ is a mesh-free Lagrangian method renowned for modeling large deformations and free-surface flows, yet classical formulations remain confined to deterministic systems. We introduce Stochastic SPH…

Computational Engineering, Finance, and Science · Computer Science 2026-05-14 Mridul Tiwari , Sawan Kumar , Md Rushdie Ibne Islam , Souvik Chakraborty

Modern graphics processing units (GPUs) lead to a major increase in the performance of the computation of astrophysical simulations. Owing to the different nature of GPU architecture compared to traditional central processing units (CPUs)…

Earth and Planetary Astrophysics · Physics 2016-04-13 Christoph M. Schäfer , Sven Riecker , Thomas I. Maindl , Roland Speith , Samuel Scherrer , Wilhelm Kley

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

Numerical Analysis · Mathematics 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

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

There have been some issues in the past in attempts to simulate magnetic fields using the Smoothed Particle Hydrodynamics (SPH) method. SPH is well suited to star formation problems because of its Lagrangian nature. We present new, stable…

Astrophysics · Physics 2009-11-10 D. J. Price , J. J. Monaghan

This study presents a GPU-accelerated, fully coupled fluid-solid-thermal Smoothed Particle Hydrodynamics (SPH) framework for high-fidelity analysis of splash-lubricated gearboxes. A series of thermo-fluid simulations of a bevel-helical gear…

Fluid Dynamics · Physics 2025-12-11 Yongchuan Yu , Dong Wu , Oskar J. Haidn , Xiangyu Hu

I present a review of Smoothed Particle Hydrodynamics (SPH), with the aim of providing a mathematically rigorous, clear derivation of the algorithms from first principles. The method of discretising a continuous field into particles using a…

Instrumentation and Methods for Astrophysics · Physics 2010-10-05 Peter J. Cossins

To make relevant predictions about observable emission, hydrodynamical simulation codes must employ schemes that account for radiative losses, but the large dimensionality of accurate radiative transfer schemes is often prohibitive.…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 James C. Lombardi , William G. McInally , Joshua A. Faber

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2025-06-12 S. Rosswog , P. Diener

This review discusses Smoothed Particle Hydrodynamics (SPH) in the astrophysical context, with a focus on inviscid gas dynamics. The particle-based SPH technique allows an intuitive and simple formulation of hydrodynamics that has excellent…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-13 Volker Springel

The properties of a thermally sprayed coating, such as its durability or thermal conductivity depend on its microstructure, which is in turn directly related to the particle impact process. To simulate this process we present a 3D Smoothed…

Smoothed Particle Hydrodynamics (SPH) is plagued by the phenomenon of tensile instability, which is the occurrence of short wavelength zero energy modes resulting in unphysical clustering of particles. The root cause of the instability is…

Computational Engineering, Finance, and Science · Computer Science 2023-07-13 Kanishka Bhattacharya , Tapan Jana , Amit Shaw , L. S. Ramachandra , Vishal Mehera

We present and test a general-purpose code, called PPASPH, for evolving self-gravitating fluids in astrophysics, both with and without a collisionless component. In PPASPH, hydrodynamical properties are computed by using the SPH (Smoothed…

Astrophysics · Physics 2009-10-28 Arturo Serna , Jean-Michel Alimi , Jean-Pierre Chieze

Isothermal and adiabatic shocks, which are produced from fast expansion of the gas, is simulated with smoothed particle hydrodynamics (SPH). The results are compared with the analytic solutions. The algorithm of the program is explained and…

Astrophysics · Physics 2007-05-23 Mohsen Nejad-Asghar

The aim of this paper is to devise a turbulence model for the particle method Smoothed Particle Hydrodynamics (SPH) which makes few assumptions, conserves linear and angular momentum, satisfies a discrete version of Kelvin's circulation…

Fluid Dynamics · Physics 2009-11-16 J. J. Monaghan
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