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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

The aim of this paper is to investigate the unstable nature of pressure computation focusing on incompressible flow modeling through the projection-based particle methods. A new approach from the original viewpoint of the momentum…

Fluid Dynamics · Physics 2022-03-18 Liang-Yee Cheng , Rubens Augusto Amaro Junior , Eric Henrique Favero

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

This paper presents a Weakly Compressible Smoothed Particle Hydrodynamics (WCSPH) method for solving the two-equation Reynolds-Averaged Navier-Stokes (RANS) model. The turbulent wall-bounded flow with or without mild flow separation, a…

Fluid Dynamics · Physics 2025-01-31 Feng Wang , Zhongguo Sun , Xiangyu Hu

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,…

Fluid Dynamics · Physics 2025-08-08 Navaneet Villodi , Prabhu Ramachandran

In the previous work, Zhang et al. proposed a multi-resolution smoothed particle hydrodynamics (SPH) method for fluid-structure interactions (FSI) with achieving an optimized computational efficiency meanwhile maintaining good numerical…

Fluid Dynamics · Physics 2022-05-03 Chi Zhang , Yujie Zhu , Xiangyu Hu

This study introduces a Riemann-based Smoothed Particle Hydrodynamics (SPH) framework for the stable and accurate simulation of surface tension in multiphase flows, with density and viscosity ratios as high as 1000 and 100, respectively.…

Fluid Dynamics · Physics 2025-03-21 Shuaihao Zhang , Sérgio D. N. Lourenço , Xiangyu Hu

We present an implementation of smoothed particle hydrodynamics (SPH) with improved accuracy for simulations of galaxies and the large-scale structure. In particular, we combine, implement, modify and test a vast majority of SPH improvement…

Cosmology and Nongalactic Astrophysics · Physics 2015-10-21 A. M. Beck , G. Murante , A. Arth , R. -S. Remus , A. F. Teklu , J. M. F. Donnert , S. Planelles , M. C. Beck , P. Foerster , M. Imgrund , K. Dolag , S. Borgani

We review existing SPH setup methods and outline their advantages, limitations and drawbacks. We present a new method for constructing initial conditions for smoothed particle hydrodynamics (SPH) simulations, which may also be of interest…

Instrumentation and Methods for Astrophysics · Physics 2015-11-17 Steven Diehl , Gabriel Rockefeller , Christopher L. Fryer , David Riethmiller , Thomas S. Statler

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…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-08 Tom Abel

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…

Astrophysics · Physics 2009-10-30 R. J. Thacker , E. R. Tittley , F. R. Pearce , H. M. P. Couchman , P. A. Thomas

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…

Instrumentation and Methods for Astrophysics · Physics 2024-09-19 Rebecca Nealon , Daniel Price

The aim of this paper is to introduce a consistent velocity smoothing method for smoothed particle hydrodynamics (SPH). First the locally averaged Navier-Stokes equations are derived in a mathematically rigorous way to demonstrate the…

Fluid Dynamics · Physics 2018-07-31 Kalale Chola

The aim of this paper is to devise a turbulence model for the particle method Smoothed Particle Hydrodynamics (SPH) which makes few assumptions, conserves linear and angular momentum, satisfies a discrete version of Kelvin's circulation…

Fluid Dynamics · Physics 2009-11-16 J. J. Monaghan

We present the smoothed-particle hydrodynamics implementation SPHGal, which combines some recently proposed improvements in GADGET. This includes a pressure-entropy formulation with a Wendland kernel, a higher order estimate of velocity…

Cosmology and Nongalactic Astrophysics · Physics 2014-07-30 Chia-Yu Hu , Thorsten Naab , Stefanie Walch , Benjamin P. Moster , Ludwig Oser

Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves…

Fluid Dynamics · Physics 2024-01-18 Ondřej Kincl , Ilya Peshkov , Michal Pavelka , Václav Klika

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…

Computational Engineering, Finance, and Science · Computer Science 2023-07-13 Kanishka Bhattacharya , Tapan Jana , Amit Shaw , L. S. Ramachandra , Vishal Mehera

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…

Fluid Dynamics · Physics 2017-08-02 Wei Hu , Wenxiao Pan , Milad Rakhsha , Qiang Tian , Haiyan Hu , Dan Negrut

In this study, a linear stability analysis is performed for different Weakly Compressible Smooth Particle Hydrodynamics (WCSPH) methods on a 1D periodic domain describing an incompressible base flow. The perturbation equation can be…

Computational Physics · Physics 2019-06-20 Geoffroy Chaussonnet , Rainer Koch , Hans-Joerg Bauer

In this paper we develop a dual-support smoothed particle hydrodynamics (DS-SPH) that naturally satisfies the conservation of momentum, angular momentum and energy when the varying smoothing length is utilized. The DS-SPH is based on the…

Computational Physics · Physics 2016-07-29 Huilong Ren , Zili Dai , Xiaoying Zhuang , Timon Rabczuk