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The problem of consistency of smoothed particle hydrodynamics (SPH) has demanded considerable attention in the past few years due to the ever increasing number of applications of the method in many areas of science and engineering. A loss…

In this paper the problem of consistency of smoothed particle hydrodynamics (SPH) is solved. A novel error analysis is developed in $n$-dimensional space using the Poisson summation formula, which enables the treatment of the kernel and…

计算物理 · 物理学 2019-04-09 Leonardo Di G. Sigalotti , Otto Rendón , Jaime Klapp , Carlos A. Vargas , Kilver Campos

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…

流体动力学 · 物理学 2024-07-31 Abhinav Muta , Pawan Negi , Prabhu Ramachandran

We seek to accelerate and increase the size of simulations for fluid-structure interactions (FSI) by using multiple resolutions in the spatial discretization of the equations governing the time evolution of systems displaying two-way…

流体动力学 · 物理学 2017-08-02 Wei Hu , Wenxiao Pan , Milad Rakhsha , Qiang Tian , Haiyan Hu , Dan Negrut

A new consistent, spatially adaptive, smoothed particle hydrodynamics (SPH) method for Fluid-Structure Interactions (FSI) is presented. The method combines several attributes that have not been simultaneously satisfied by other SPH methods.…

流体动力学 · 物理学 2019-02-20 Wei Hu , Guannan Guo , Xiaozhe Hu , Dan Negrut , Zhijie Xu , Wenxiao Pan

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…

天体物理仪器与方法 · 物理学 2017-03-29 Satoko Yamamoto , Junichiro Makino

Despite the many advances in the use of weakly-compressible smoothed particle hydrodynamics (SPH) for the simulation of incompressible fluid flow, it is still challenging to obtain second-order convergence even for simple periodic domains.…

数值分析 · 数学 2022-09-07 Pawan Negi , Prabhu Ramachandran

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…

流体动力学 · 物理学 2009-11-11 D. De Padova , R. A. Dalrymple , M. Mossa , A. F. Petrillo

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…

宇宙学与河外天体物理 · 物理学 2015-06-03 J. I. Read , T. Hayfield

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

Particle methods play an important role in the study of a wide variety of astrophysical fluid dynamics problems. The different methods currently in use are all variants of the so-called Smoothed Particle Hydrodynamics (SPH) scheme…

天体物理学 · 物理学 2009-10-31 Frederic A. Rasio

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…

天体物理仪器与方法 · 物理学 2015-06-17 Satoko Yamamoto , Takayuki R. Saitoh , Junichiro Makino

This paper proposes and validates two new particle regularization techniques for the Smoothed Particle Hydrodynamics (SPH) numerical method to improve its stability and accuracy for free surface flow simulations. We introduce a general form…

流体动力学 · 物理学 2022-04-05 Mojtaba Jandaghian , Herman Musumari Siaben , Ahmad Shakibaeinia

We introduce adaptive particle refinement for compressible smoothed particle hydrodynamics (SPH). SPH calculations have the natural advantage that resolution follows mass, but this is not always optimal. Our implementation allows the user…

天体物理仪器与方法 · 物理学 2024-09-19 Rebecca Nealon , Daniel Price

Smoothed particle hydrodynamics (SPH) is typically used for barotropic fluids, where the pressure depends only on the local mass density. Here, we show how to incorporate the entropy into the SPH, so that the pressure can also depend on the…

流体动力学 · 物理学 2024-06-21 Michal Pavelka , Vaclav Klika , Ondrej Kincl

The Smoothed Particle Hydrodynamics (SPH) is a particle-based, Lagrangian method for fluid-flow simulations. In this work, fundamental concepts of this method are first briefly recalled. Then, the ability to accurately model granular…

地球物理 · 物理学 2016-02-26 Kamil Szewc

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…

天体物理仪器与方法 · 物理学 2009-11-09 Stephan Rosswog

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…

流体动力学 · 物理学 2022-03-15 Dinesh Adepu , Prabhu Ramachandran

Modulating the number of particles in a region is key to accurately capturing the nuances in compressible flows with Smoothed Particle Hydrodynamics (SPH). This paper presents a volume-based adaptive refinement and derefinement procedure,…

流体动力学 · 物理学 2025-08-08 Navaneet Villodi , Prabhu Ramachandran

We study the consistency and convergence of smoothed particle hydrodynamics (SPH), as a function of the interpolation parameters, namely the number of particles $N$, the number of neighbors $n$, and the smoothing length $h$, using…

天体物理仪器与方法 · 物理学 2017-02-08 Ruslan Gabbasov , Leonardo Di G. Sigalotti , Fidel Cruz , J. Klapp , J. M. Ramírez-Velasquez
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