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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 method of smoothed particle hydrodynamics (SPH) is developped appropriately for the study of relativistic heavy ion collision processes. In order to describe the flow of a high energy but low baryon number density fluid, the entropy is…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. E. Aguiar , T. Kodama , T. Osada , Y. Hama

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

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

Smoothed particle hydrodynamics (SPH) is developed for modelling of melting and solidification. Enthalpy method is used to solve heat conduction equations which involved moving interface between phases. At first, we study the melting of…

Fluid Dynamics · Physics 2016-02-23 Dede Tarwidi

Smoothed Particle Hydrodynamics (SPH) is a unique numerical method widely used for astrophysical problems since it involves no spatial grid. Rather, fluid quantities are carried by a set of Lagrangian `particles' which move with the flow,…

Astrophysics · Physics 2009-09-29 Daniel Price

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

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian method for solving the fluid equations that is commonplace in astrophysics, prized for its natural adaptivity and stability. The choice of variable to smooth in SPH has been the topic of…

Astrophysics of Galaxies · Physics 2021-05-26 Josh Borrow , Matthieu Schaller , Richard G. Bower

We present a novel implementation of Smoothed Particle Hydrodynamics (SPHS) that uses the spatial derivative of the velocity divergence as a higher order dissipation switch. Our switch -- which is second order accurate -- detects flow…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 J. I. Read , T. Hayfield

In this paper, we present a new formulation of smoothed particle hydrodynamics (SPH), which, unlike the standard SPH (SSPH), is well-behaved at the contact discontinuity. The SSPH scheme cannot handle discontinuities in density (e.g. the…

Instrumentation and Methods for Astrophysics · Physics 2015-06-17 Satoko Yamamoto , Takayuki R. Saitoh , Junichiro Makino

Smoothed Particle Hydrodynamics (SPH) is a popular numerical technique developed for simulating complex fluid flows. Among its key ingredients is the use of nonlocal integral relaxations to local differentiations. Mathematical analysis of…

Numerical Analysis · Mathematics 2019-07-04 Qiang Du , Xiaochuan Tian

Smoothed particle hydrodynamics is a particle-based, fully Lagrangian, method for fluid-flow simulations. In this work, fundamental concepts of the method are first briefly recalled. Then, we present a thorough comparison of three different…

Fluid Dynamics · Physics 2012-08-22 Kamil Szewc , Jacek Pozorski , Jean-Pierre Minier

This paper describes an energy-preserving and globally time-reversible code for weakly compressible smoothed particle hydrodynamics (SPH). We do not add any additional dynamics to the Monaghan's original SPH scheme at the level of ordinary…

Numerical Analysis · Mathematics 2022-12-14 Ondrej Kincl , Michal Pavelka

This paper presents an overview and introduction to Smoothed Particle Hydrodynamics and Magnetohydrodynamics in theory and in practice. Firstly, we give a basic grounding in the fundamentals of SPH, showing how the equations of motion and…

Instrumentation and Methods for Astrophysics · Physics 2010-12-22 Daniel J. Price

The paper presents a detailed review of the smooth particle hydrodynamics (SPH) method with particular focus on its astrophysical applications. We start by introducing the basic ideas and concepts and thereby outline all ingredients that…

Instrumentation and Methods for Astrophysics · Physics 2009-11-09 Stephan Rosswog

Transport and mixing of gas species are of particular interest in planetary environments, where interactions among multiple species can occur within confined or porous media. In this work, we present a novel Smoothed Particle Hydrodynamics…

Earth and Planetary Astrophysics · Physics 2025-09-09 Luca Maggioni , Matteo Teodori , Gianfranco Magni , Michelangelo Formisano , Maria Cristina De Sanctis , Francesca Altieri

I discuss the key features of Smoothed Particle Hydrodynamics (SPH) as a numerical method - in particular the key differences between SPH and more standard grid based approaches - that are important to the practitioner. These include the…

Instrumentation and Methods for Astrophysics · Physics 2011-11-08 Daniel J. Price

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

In fluid dynamical simulations in astrophysics, large deformations are common and surface tracking is sometimes necessary. Smoothed Particle Hydrodynamics (SPH) method has been used in many of such simulations. Recently, however, it has…

Instrumentation and Methods for Astrophysics · Physics 2017-03-29 Satoko Yamamoto , Junichiro Makino

To capture specific characteristics of non-Newtonian fluids, during the past years fractional constitutive models have become increasingly popular. These models are able to capture in a simple and compact way the complex behaviour of…

Fluid Dynamics · Physics 2023-11-23 Luca Santelli , Adolfo Vazquez-Quesada , Marco Ellero
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