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In this paper we propose an accurate, and computationally efficient method for incorporating adaptive spatial resolution into weakly-compressible Smoothed Particle Hydrodynamics (SPH) schemes. Particles are adaptively split and merged in an…

流体动力学 · 物理学 2022-05-17 Abhinav Muta , Prabhu Ramachandran

We analyse the performance of twelve different implementations of Smoothed Particle Hydrodynamics (SPH) using seven tests designed to isolate key hydrodynamic elements of cosmological simulations which are known to cause the SPH algorithm…

天体物理学 · 物理学 2009-10-30 R. J. Thacker , E. R. Tittley , F. R. Pearce , H. M. P. Couchman , P. A. Thomas

A general expression for the momentum equation in the Smooth Particle Hydrodynacis approximation is derived for an arbitrary kernel, and compared with its spherical counterpart for various degrees of ellipsoidicity. For such an ellsipsoidal…

天体物理学 · 物理学 2007-05-23 Magnus Selhammar

We present a practical guide to Smoothed Particle Hydrodynamics (\SPH) and its application to astrophysical problems. Although remarkably robust, \SPH\ must be used with care if the results are to be meaningful since the accuracy of \SPH\…

天体物理学 · 物理学 2007-05-23 T. J. Martin , F. R. Pearce , P. A. Thomas

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…

星系天体物理 · 物理学 2021-05-26 Josh Borrow , Matthieu Schaller , Richard G. Bower

In N-body simulations the force calculated between particles representing a given mass distribution is usually softened, to diminish the effect of graininess. In this paper we study the effect of such a smoothing, with the aim of finding an…

天体物理学 · 物理学 2009-10-31 E. Athanassoula , E. Fady , J. -C. Lambert , A. Bosma

We suggest a novel discretisation of the momentum equation for Smoothed Particle Hydrodynamics (SPH) and show that it significantly improves the accuracy of the obtained solutions. Our new formulation which we refer to as relative pressure…

宇宙学与河外天体物理 · 物理学 2016-08-08 Tom Abel

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…

计算工程、金融与科学 · 计算机科学 2023-07-13 Kanishka Bhattacharya , Tapan Jana , Amit Shaw , L. S. Ramachandra , Vishal Mehera

The numerical convergence of smoothed particle hydrodynamics (SPH) can be severely restricted by random force errors induced by particle disorder, especially in shear flows, which are ubiquitous in astrophysics. The increase in the number…

天体物理仪器与方法 · 物理学 2015-06-04 Walter Dehnen , Hossam Aly

The axisymmetric form of the hydrodynamic equations within the smoothed particle hydrodynamics (SPH) formalism is presented and checked using idealized scenarios taken from astrophysics (free fall collapse, implosion and further pulsation…

天体物理学 · 物理学 2009-11-13 D. Garcia-Senz , A. Relano , R. M. Cabezon , E. Bravo

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…

流体动力学 · 物理学 2012-08-22 Kamil Szewc , Jacek Pozorski , Jean-Pierre Minier

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…

天体物理仪器与方法 · 物理学 2010-10-05 Peter J. Cossins

We study the problem of the appropriate choice of the interpolating kernel to be used in the evaluation of gradients of functions. Such interpolation technique is often used in applications, e.g. it is typical for Smoothed Particle…

天体物理学 · 物理学 2007-05-23 R. Capuzzo-Dolcetta , R. Di Lisio

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,…

天体物理仪器与方法 · 物理学 2016-08-08 Domingo García-Senz , Rubén M. Cabezón , José A. Escartín , Kevin Ebinger

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…

图形学 · 计算机科学 2020-09-16 Dan Koschier , Jan Bender , Barbara Solenthaler , Matthias Teschner

We describe and demonstrate a method for increasing the resolution locally in a Smoothed Particle Hydrodynamic (SPH) simulation, by splitting particles. We show that in simulations of self-gravitating collapse (of the sort which are…

天体物理学 · 物理学 2009-11-07 S. Kitsionas , A. P. Whitworth

Simulating the flow of different fluids can be a highly computational intensive process, which requires large amounts of resources. Recently there has been a lot of research effort directed towards GPU processing, which can greatly increase…

计算工程、金融与科学 · 计算机科学 2019-07-17 Adrian Coman , Elena Apostol , Catalin Leordeanu , Emil Slusanschi

We present a 'two-fluid' implementation of dust in smoothed particle hydrodynamics (SPH) in the test particle limit. The scheme is able to handle both short and long stopping times and reproduces the short friction time limit, which is not…

地球与行星天体物理 · 物理学 2015-08-19 Richard A. Booth , Debora Sijacki , Cathie J. Clarke

The use of adaptive spatial resolution to simulate flows of practical interest using Smoothed Particle Hydrodynamics (SPH) is of considerable importance. Recently, Muta and Ramachandran [1] have proposed an efficient adaptive SPH method…

流体动力学 · 物理学 2022-05-17 Asmelash Haftu , Abhinav Muta , Prabhu Ramachandran

In this work we will identify a novel relation between Smoothed Particle Hydrodynamics (SPH) and explicit Large Eddy Simulation (LES) using a coarse-graining method from Non-Equilibrium Molecular Dynamics (NEMD). While the current…

流体动力学 · 物理学 2022-11-24 Max Okraschevski , Niklas Bürkle , Rainer Koch , Hans-Jörg Bauer
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