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In the context of intra-cluster medium turbulence, it is essential to be able to split the turbulent velocity field in a compressive and a solenoidal component. We describe and implement a new method for this aim, i.e., performing a…

Instrumentation and Methods for Astrophysics · Physics 2021-03-02 David Vallés-Pérez , Susana Planelles , Vicent Quilis

A rapid algorithm is derived for the Helmholtz--Hodge decomposition on the surface of the sphere in spherical coordinates. The algorithm uncouples modes of spherical harmonics with different absolute order, writes the conversion as…

Numerical Analysis · Mathematics 2018-09-13 Julien Molina , Richard Mikael Slevinsky

Smoothed particle hydrodynamics (SPH) has been extensively studied in computer graphics to animate fluids with versatile effects. However, SPH still suffers from two numerical difficulties: the particle deficiency problem, which will…

Graphics · Computer Science 2020-01-29 Xiaowei He , Huamin Wang , Guoping Wang , Hongan Wang , Enhua Wu

In order to explore the influence of combustion-induced thermal expansion on turbulence, a new research method is introduced. The method consists in jointly applying Helmholtz-Hodge decomposition and conditioned structure functions to…

Multiscale organization is a hallmark of fluid turbulence in aerospace, energy, and transport systems. While quantum computing promises exponential speedups for solving the evolution equations governing flow fields, this potential is…

Quantum Physics · Physics 2026-05-08 Zhaoyuan Meng , Xiao-Ming Zhang , Xiao Yuan , Yue Yang

Starting from the single graphics processing unit (GPU) version of the Smoothed Particle Hydrodynamics (SPH) code DualSPHysics, a multi-GPU SPH program is developed for free-surface flows. The approach is based on a spatial decomposition…

Computational Physics · Physics 2012-10-04 Daniel Valdez-Balderas , José M. Domínguez , Benedict D. Rogers , Alejandro J. C. Crespo

Spatially developing round jet flows are fundamental to numerous engineering applications. This letter applies the wave-particle turbulence simulation (WPTS) method, a recently developed multiscale approach, to simulate a spatially…

Fluid Dynamics · Physics 2025-07-22 Xiaojian Yang , Kun Xu

We present the results from a two-day study in which we discussed various implementations of Smooth Particle Hydrodynamics (SPH), one of the leading methods used across a variety of areas of large-scale astrophysical simulations. In…

Astrophysics · Physics 2007-05-23 Piet Hut , Lars Hernquist , George Lake , Jun Makino , Steve McMillan , Thomas Sterling

In this paper we discuss recent applications of the Smoothed Particle Hydrodynamics (SPH) method to the simulation of supersonic turbulence in the interstellar medium, as well as giving an update on recent algorithmic developments in…

Instrumentation and Methods for Astrophysics · Physics 2010-02-26 Daniel J. Price , Christoph Federrath

To simulate the dynamics of fluid with polydisperse particles on macroscale level, one has to solve hydrodynamic equations with several relaxation terms, representing momentum transfer from fluid to particles and vice versa. For small…

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

Smooth vector fields on $\mathbb{R}^n$ can be decomposed into the sum of a gradient vector field and divergence-free (solenoidal) vector field under suitable hypotheses. This is called the Helmholtz-Hodge decomposition (HHD), which has been…

Dynamical Systems · Mathematics 2020-07-17 Tomoharu Suda

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…

Fluid Dynamics · Physics 2022-05-17 Asmelash Haftu , Abhinav Muta , Prabhu Ramachandran

A major issue in Smoothed Particle Hydrodynamics (SPH) approaches is the numerical dissipation during the projection process, especially under coarse discretizations. High-frequency details, such as turbulence and vortices, are smoothed…

Graphics · Computer Science 2021-09-21 Sinuo Liu , Xiaokun Wang , Xiaojuan Ban , Yanrui Xu , Jing Zhou , Jiří Kosinka , Alexandru C. Telea

We propose an end-to-end quantum algorithm to simulate rapidly distorted turbulence via linear combination of Hamiltonian (LCHS). The algorithm comprises three primary stages: the efficient preparation of an initial turbulent state with a…

Fluid Dynamics · Physics 2025-11-25 Zhaoyuan Meng , Leyu Chen , Jin-Peng Liu , Guowei He

We perform simulations of the Kelvin-Helmholtz instability using smoothed particle hydrodynamics (SPH). The instability is studied both in the linear and strongly non-linear regimes. The smooth, well-posed initial conditions of Lecoanet et…

Instrumentation and Methods for Astrophysics · Physics 2019-08-07 Terrence S. Tricco

In this paper, we present an hp-adaptive hybrid Discontinuous Galerkin/Finite Volume method for simulating compressible, turbulent multi-component flows. Building on a previously established hp-adaptive strategy for hyperbolic gas- and…

The separation of acoustic and vortical fluctuations in compressible turbulence becomes ambiguous in thermodynamically inhomogeneous media, where refraction by entropy gradients and shocks can be misclassified as solenoidal content by…

Fluid Dynamics · Physics 2026-04-02 Chanho Park , Yeachan Kwak , Seongim Choi

Simulation of turbulent flows at high Reynolds number is a computationally challenging task relevant to a large number of engineering and scientific applications in diverse fields such as climate science, aerodynamics, and combustion.…

Computational Physics · Physics 2020-10-06 Jaideep Pathak , Mustafa Mustafa , Karthik Kashinath , Emmanuel Motheau , Thorsten Kurth , Marcus Day

We describe a new algorithm for including the dynamical effects of ionizing radiation in SPH simulations, and we present several examples of how the algorithm can be applied to problems in star formation. We use the HEALPix software to…

Solar and Stellar Astrophysics · Physics 2009-11-13 T. G. Bisbas , R. Wunsch , A. P. Whitworth , D. A. Hubber
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