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This paper presents a divergence cleaning formulation for the velocity in the weakly compressible smoothed particle hydrodynamics (SPH) scheme. The proposed hyperbolic/parabolic divergence cleaning, ensures that the velocity divergence,…

Fluid Dynamics · Physics 2025-05-01 Georgios Fourtakas , Renato Vacondio , Benedict D. Rogers

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

In this paper, we propose a reduced-dimensional smoothed particle hydrodynamics (SPH) formulation for quasi-static and dynamic analyses of plate and shell structures undergoing finite deformation and large rotation. By exploiting…

Numerical Analysis · Mathematics 2023-09-07 Dong Wu , Chi Zhang , Xiangyu Hu

Graphics research on Smoothed Particle Hydrodynamics (SPH) has produced fantastic visual results that are unique across the board of research communities concerned with SPH simulations. Generally, the SPH formalism serves as a spatial…

Graphics · Computer Science 2020-09-16 Dan Koschier , Jan Bender , Barbara Solenthaler , Matthias Teschner

The smoothed-particle hydrodynamics (SPH) technique is a numerical method for solving gas-dynamical problems. It has been applied to simulate the evolution of a wide variety of astrophysical systems. The method has a second-order accuracy,…

Instrumentation and Methods for Astrophysics · Physics 2016-08-08 Domingo García-Senz , Rubén M. Cabezón , José A. Escartín , Kevin Ebinger

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 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

We study the effect of varying the mass and volume fraction of a suspension of rigid spheres dispersed in a turbulent channel flow. We performed several Direct Numerical Simulations using an Immersed Boundary Method for finite-size…

Fluid Dynamics · Physics 2016-04-28 Walter Fornari , Alberto Formenti , Francesco Picano , Luca Brandt

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

At present, the giant impact (GI) is the most widely accepted model for the origin of the Moon. Most of the numerical simulations of GI have been carried out with the smoothed particle hydrodynamics (SPH) method. Recently, however, it has…

Earth and Planetary Astrophysics · Physics 2016-07-22 Natsuki Hosono , Takayuki R. Saitoh , Junichiro Makino , Hidenori Genda , Shigeru Ida

In this paper we test a special-relativistic formulation of Smoothed Particle Hydrodynamics (SPH) that has been derived from the Lagrangian of an ideal fluid. Apart from its symmetry in the particle indices, the new formulation differs from…

Instrumentation and Methods for Astrophysics · Physics 2010-05-12 S. Rosswog

We review the current status of compact object simulations that are based on the Smooth Particle Hydrodynamics (SPH) method. The first main part of this review is dedicated to SPH as a numerical method. We begin by discussing relevant…

Instrumentation and Methods for Astrophysics · Physics 2015-10-14 S. Rosswog

Smoothed particle hydrodynamics (SPH) has been extensively used to model high and low Reynolds number flows, free surface flows and collapse of dams, study pore-scale flow and dispersion, elasticity, and thermal problems. In different…

Numerical Analysis · Mathematics 2017-12-01 Alexander A. Lukyanov , Kees Vuik

The unavailability of accurate boundary treatment methods for compressible Smoothed Particle Hydrodynamics (SPH) severely limits its ability to simulate flows in and around bodies. To this end, challenges specific to compressible flows with…

Fluid Dynamics · Physics 2024-08-27 Navaneet Villodi , Prabhu Ramachandran

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

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

While spherical particles are the most studied viscosity modifiers, they are well known only to increase viscosities, in particular at low concentrations. Extended studies and theories on non-spherical particles find a more complicated…

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

The weakly compressible SPH (WCSPH) method is known suffering from low computational efficiency, or unnatural voids and unrealistic phase separation when it is applied to simulate highly violent multi-phase flows with high density ratio,…

Computational Physics · Physics 2020-01-08 Massoud Rezavand , Chi Zhang , Xiangyu Hu

Particle shifting techniques (PST) have been used to improve the accuracy of the Smoothed Particle Hydrodynamics (SPH) method. Shifting ensures that the particles are distributed homogeneously in space. This may be performed by moving the…

Fluid Dynamics · Physics 2022-03-15 Dinesh Adepu , Prabhu Ramachandran
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