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In this paper we investigate the use of the vector potential as a means of maintaining the divergence constraint in the numerical solution of the equations of Magnetohydrodynamics (MHD) using the Smoothed Particle Hydrodynamics (SPH)…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Daniel J. Price

The correct evaluation of gradients is at the cornerstone of the smoothed particle hydrodynamics (SPH) technique. Using an integral approach to estimate gradients has proven to enhance accuracy substantially. Such approach retains the…

Instrumentation and Methods for Astrophysics · Physics 2022-03-31 Domingo García-Senz , Rubén M. Cabezón , José A. Escartín

Simulation of the dynamics of dust-gas circumstellar discs is crucial in understanding the mechanisms of planet formation. The dynamics of small grains in the disc is stiffly coupled to the gas, while the dynamics of grown solids is…

Earth and Planetary Astrophysics · Physics 2018-11-16 Olga P. Stoyanovskaya , Tatiana A. Glushko , Nikolay V. Snytnikov , Valeriy N. Snytnikov

A novel numerical formulation for solving fluid-structure interaction (FSI) problems is proposed where the fluid field is spatially discretized using smoothed particle hydrodynamics (SPH) and the structural field using the finite element…

Computational Engineering, Finance, and Science · Computer Science 2021-06-16 Sebastian L. Fuchs , Christoph Meier , Wolfgang A. Wall , Christian J. Cyron

This paper presents applications of weighted meshless scheme for conservation laws to the Euler equations and the equations of ideal magnetohydrodynamics. The divergence constraint of the latter is maintained to the truncation error by a…

Instrumentation and Methods for Astrophysics · Physics 2015-05-19 Evghenii Gaburov , Keigo Nitadori

We present the methodology and performance of the new Lagrangian hydrodynamics code MAGMA2, a Smoothed Particle Hydrodynamics code that benefits from a number of non-standard enhancements. By default it uses high-order smoothing kernels and…

Instrumentation and Methods for Astrophysics · Physics 2020-09-02 Stephan Rosswog

The thermodynamic instabilities of a binary mixture of sticky hard spheres (SHS) in the modified Mean Spherical Approximation (mMSA) and the Percus-Yevick (PY) approximation are investigated using an approach devised by X. S. Chen and F.…

Statistical Mechanics · Physics 2007-05-23 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti

We provide a basic method of Smoothed Particle Hydrodynamics (SPH) to simulate liquid droplet with surface tension in three dimensions. Liquid droplet is a simple case for surface tension modeling. Surface tension works only on fluid…

Fluid Dynamics · Physics 2013-09-17 Hanifa Terissa , Agra Barecasco , Christian Fredy Naa

Firstly, we give a historical overview of attempts to incorporate magnetic fields into the Smoothed Particle Hydrodynamics method by solving the equations of Magnetohydrodynamics (MHD), leading an honest assessment of the current…

Astrophysics of Galaxies · Physics 2015-05-20 Daniel J. Price

This paper proposes a novel numerical method based on Godunov Smoothed Particle Hydrodynamics for special relativistic fluid dynamics. Our method utilizes a Riemann solver to describe shock, enhancing accuracy in strong shock waves. The…

Computational Physics · Physics 2025-10-22 Kanta Kitajima , Shu-ichiro Inutsuka , Izumi Seno

The smoothed particle hydrodynamics (SPH) method has been widely used to simulate incompressible and slightly compressible fluid flows. Adaptive refinement strategies to dynamically increase the resolution of the particles to capture sharp…

Fluid Dynamics · Physics 2024-07-31 Abhinav Muta , Pawan Negi , Prabhu Ramachandran

We adapt the Smoothed-Particle Hydrodynamics technique to allow a multiphase fluid in which SPH particles of widely differing density may be freely intermixed. Applications include modelling of galaxy formation and cooling flows.

Astrophysics · Physics 2015-06-24 Benedict W. Ritchie , Peter A. Thomas

Simulations of gas-solid mixtures are used in many scientific and industrial applications. Two-Fluid Smoothed Particle Hydrodynamics (TFSPH) is an approach when gas and solids are simulated with different sets of particles interacting via…

Computational Physics · Physics 2019-08-07 Olga Stoyanovskaya , Tatiana Glushko , Valery Snytnikov , Nicolay Snytnikov

We discuss capability of Smooth Particle Hydrodynamics to represent adequately the dynamics of self-gravitating systems, in particular for what regards the quality of approximation of force fields in the motion equations. When cubic spline…

Astrophysics · Physics 2016-08-30 R. Capuzzo-Dolcetta , R. Di Lisio

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

Total Lagrangian Smoothed Particle Hydrodynamics (TLSPH) is one variant of SPH where the variables are described using the fixed reference configuration and a Lagrangian smoothing kernel. TLSPH elevates the computational efficiency of the…

Numerical Analysis · Mathematics 2024-09-05 I. M. Wiragunarsa , L. R. Zuhal , T. Dirgantara , I. S. Putra , E. Febrianto

Smoothed Particle Hydrodynamics is a multidimensional Lagrangian method of numerical hydrodynamics that has been used to tackle a wide variety of problems in astrophysics. Here we develop the basic equations of the SPH scheme, and we…

Astrophysics · Physics 2007-05-23 Frederic A. Rasio , James C. Lombardi

This paper presents a generalised and efficient wall boundary treatment in the smoothed particle hydrodynamics (SPH) method for 3-D complex and arbitrary geometries with single- and multi-phase flows to be executed on graphics processing…

Computational Physics · Physics 2022-09-14 Massoud Rezavand , Chi Zhang , Xiangyu Hu

We introduce a modified SPH approach that is based on discretising the particle density instead of the mass density. This approach makes it possible to use SPH particles with very different masses to simulate multi-phase flows with large…

Computational Physics · Physics 2016-09-08 Frank Ott , Erik Schnetter

We present a set of new smoothing kernels for smoothed particle hydrodynamics (SPH) that improve the convergence of the method without any additional computational cost. These kernels are generated through a linear combination of other SPH…

Instrumentation and Methods for Astrophysics · Physics 2026-02-04 Robert Wissing , Thomas R. Quinn , Ben Keller , James Wadsley , Sijing Shen