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Diffusion problems with anisotropic features arise in the various areas of science and engineering fields. As a Lagrangian mesh-less method, SPH has a special advantage in addressing the diffusion problems due to the the benefit of dealing…

Computational Engineering, Finance, and Science · Computer Science 2024-10-14 Xiaojing Tang , Oskar Haidn , Xiangyu Hu

Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH) method has experienced a tremendous enhancement in methodology and impacted a range of multi-physics applications in science and engineering. The paper…

Computational Physics · Physics 2024-05-24 Chi Zhang , Yujie Zhu , Dong Wu , Xiangyu Hu

We present and test a new, special-relativistic formulation of Smoothed Particle Hydrodynamics (SPH). Our approach benefits from several improvements with respect to earlier relativistic SPH formulations. It is self-consistently derived…

High Energy Astrophysical Phenomena · Physics 2015-05-13 S. Rosswog

As computational complexity in electromagnetics increases with frequency, full-wave solvers become computationally infeasible for electrically large problems. To address this limitation, we present a shooting and bouncing rays (SBR) method…

Computational Engineering, Finance, and Science · Computer Science 2026-04-13 Marco Pasquale , Andong Hu , Luca Pennati , Ivy Peng , Stefano Markidis

We present Lampray: a multi-group long characteristics ray tracing method for adaptive mesh radiation hydrodynamics in the Ramses code. It avoids diffusion, captures shadows, and treats colliding beams correctly, and therefore complements…

Solar and Stellar Astrophysics · Physics 2018-09-18 Troels Frostholm , Troels Haugbølle , Tommaso Grassi

I discuss the key features of Smoothed Particle Hydrodynamics (SPH) as a numerical method - in particular the key differences between SPH and more standard grid based approaches - that are important to the practitioner. These include the…

Instrumentation and Methods for Astrophysics · Physics 2011-11-08 Daniel J. Price

Radiative transfer is a key bottleneck in computational astrophysics: it is nonlocal, stiff, and tightly coupled to hydrodynamics. We introduce Ray-trax, a GPU-oriented, fully differentiable 3D ray tracer written in JAX that solves the…

Instrumentation and Methods for Astrophysics · Physics 2025-11-13 Lorenzo Branca , Rune Rost , Tobias Buck

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…

Fluid Dynamics · Physics 2022-11-24 Max Okraschevski , Niklas Bürkle , Rainer Koch , Hans-Jörg Bauer

We summarize the ideas that led to the Adaptive Smoothed Particle Hydrodynamics (ASPH) algorithm, with anisotropic smoothing and shock-tracking. We then identify a serious new problem for SPH simulations with shocks and radiative cooling…

Astrophysics · Physics 2007-05-23 Hugo Martel , Paul R. Shapiro

Smoothed particle hydrodynamics (SPH) is developed for modelling of melting and solidification. Enthalpy method is used to solve heat conduction equations which involved moving interface between phases. At first, we study the melting of…

Fluid Dynamics · Physics 2016-02-23 Dede Tarwidi

Diffuse-interface theory provides a foundation for the modeling and simulation of microstructure evolution in a very wide range of materials, and for the tracking/capturing of dynamic interfaces between different materials on larger scales.…

Computational Physics · Physics 2018-08-03 Zhijie Xu , Paul Meakin , Alexandre Tartakovsky

We present a novel approach to accelerate astrophysical hydrodynamical simulations. In astrophysical many-body simulations, GRAPE (GRAvity piPE) system has been widely used by many researchers. However, in the GRAPE systems, its function is…

Astrophysics · Physics 2009-11-11 N. Nakasato , T. Hamada , T. Fukushige

We present a new hybrid Smoothed Particle Hydrodynamics (SPH)/N-body method for modelling the collisional stellar dynamics of young clusters in a live gas background. By deriving the equations of motion from Lagrangian mechanics we obtain a…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 D. A. Hubber , R. J. Allison , R. Smith , S. P. Goodwin

This is a preliminary theoretical discussion on the computational requirements of the state of the art smoothed particle hydrodynamics (SPH) from the optics of pattern recognition and artificial intelligence. It is pointed out in the…

Artificial Intelligence · Computer Science 2014-03-31 Eraldo Pereira Marinho

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

Recent simulations of self-gravitating accretion discs, carried out using a three-dimensional Smoothed Particle Hydrodynamics (SPH) code by Meru and Bate, have been interpreted as implying that three-dimensional global discs fragment much…

Earth and Planetary Astrophysics · Physics 2015-06-03 W. K. M. Rice , D. H. Forgan , P. J. Armitage

This paper presents an overview and introduction to Smoothed Particle Hydrodynamics and Magnetohydrodynamics in theory and in practice. Firstly, we give a basic grounding in the fundamentals of SPH, showing how the equations of motion and…

Instrumentation and Methods for Astrophysics · Physics 2010-12-22 Daniel J. Price

In this paper a simple, robust, and general purpose approach to implement the Incompressible Smoothed Particle Hydrodynamics (ISPH) method is proposed. This approach is well suited for implementation on CPUs and GPUs. The method is…

Numerical Analysis · Mathematics 2021-05-06 Abhinav Muta , Prabhu Ramachandran , Pawan Negi

We present diffSPH, a novel open-source differentiable Smoothed Particle Hydrodynamics (SPH) framework developed entirely in PyTorch with GPU acceleration. diffSPH is designed centrally around differentiation to facilitate optimization and…

Fluid Dynamics · Physics 2025-07-30 Rene Winchenbach , Nils Thuerey

Analysing data from Smoothed Particle Hydrodynamics (SPH) simulations is about understanding global fluid properties rather than individual fluid elements. Therefore, in order to properly understand the outcome of such simulations it is…

Instrumentation and Methods for Astrophysics · Physics 2018-03-13 Bernhard Röttgers , Alexander Arth
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