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In this paper we propose a dual-time stepping scheme for the Smoothed Particle Hydrodynamics (SPH) method. Dual-time stepping has been used in the context of other numerical methods for the simulation of incompressible fluid flows. Here we…

Computational Physics · Physics 2021-06-25 Prabhu Ramachandran , Abhinav Muta , Ramakrishna Mokkapati

We present a new radiative transfer method (SPH-M1RT) that is coupled dynamically with smoothed particle hydrodynamics (SPH). We implement it in the (task-based parallel) SWIFT galaxy simulation code but it can be straightforwardly…

Instrumentation and Methods for Astrophysics · Physics 2021-07-06 T. K. Chan , Tom Theuns , Richard Bower , Carlos Frenk

We present a novel method of magnetohydrodynamics (MHD) within the smoothed particle hydrodynamics scheme using the Geometric Density average force expression (GDSPH). GDSPH has recently been shown to reduce the leading order errors and…

Instrumentation and Methods for Astrophysics · Physics 2020-07-31 Robert Wissing , Sijing Shen

Hourglass modes, characterized by zigzag particle and stress distributions, are a common numerical instability encountered when simulating solid materials with updated Lagrangian smoother particle hydrodynamics (ULSPH). While recent…

Computational Engineering, Finance, and Science · Computer Science 2024-09-19 Shuaihao Zhang , Dong Wu , Sérgio D. N. Lourenço , Xiangyu Hu

We provide a description of the SNSPH code--a parallel 3-dimensional radiation hydrodynamics code implementing treecode gravity, smooth particle hydrodynamics, and flux-limited diffusion transport schemes. We provide descriptions of the…

Astrophysics · Physics 2009-11-13 C. L. Fryer , G. Rockefeller , M. S. Warren

The solidification behavior of liquid metal in a container under rapid cooling process is one of the major concerns to be analyzed. In order to analyze its fundamental behavior, a three- dimensional (3D) fluid dynamics simulation was…

Fluid Dynamics · Physics 2013-09-18 Raden Ahnaf Faqih S , Christian Fredy Naa

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 a novel scheme for modelling quantum plasmas in the warm dense matter (WDM) regime via a hybrid smoothed particle hydrodynamic - molecular dynamic treatment, here referred to as 'Bohm SPH'. This treatment is founded upon Bohm's…

We present a new three-dimensional general-relativistic hydrodynamic evolution scheme coupled to dynamical spacetime evolutions which is capable of efficiently simulating stellar collapse, isolated neutron stars, black hole formation, and…

High Energy Astrophysical Phenomena · Physics 2013-09-23 C. Reisswig , R. Haas , C. D. Ott , E. Abdikamalov , P. Moesta , D. Pollney , E. Schnetter

We present a new approach for achieving high-order convergence in fully general-relativistic hydrodynamic simulations. The approach is implemented in WhiskyTHC, a new code that makes use of state-of-the-art numerical schemes and was key in…

General Relativity and Quantum Cosmology · Physics 2014-03-11 David Radice , Luciano Rezzolla , Filippo Galeazzi

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

Comparison of hydrodynamic calculations with experimental data inevitably requires a model for converting the fluid to particles. In this work, nonlinear $2\to 2$ kinetic theory is used to assess the overall accuracy of various shear…

We present and test a code for two-fluid simulations of galaxy formation, one of the fluids being collision-less. The hydrodynamical evolution is solved through the SPH method while gravitational forces are calculated using a tree method.…

Astrophysics · Physics 2007-05-23 John Hultman , Daniel Kaellander

Cosmological field-level inference requires differentiable forward models that solve the challenging dynamics of gas and dark matter under hydrodynamics and gravity. We propose a hybrid approach where gravitational forces are computed using…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-31 Arne Thomsen , Tilman Tröster , François Lanusse

A challenging requirement posed by next-generation observations is a firm theoretical grasp of the impact of baryons on structure formation. Cosmological hydrodynamic simulations modeling gas physics are vital in this regard. A high degree…

Cosmology and Nongalactic Astrophysics · Physics 2019-06-05 J. D. Emberson , Nicholas Frontiere , Salman Habib , Katrin Heitmann , Patricia Larsen , Hal Finkel , Adrian Pope

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

We provide a basic method of Smoothed Particle Hydrodynamics (SPH) to simulate liquid droplet with surface tension in three dimensions. Liquid droplet is a simple case for surface tension modeling. Surface tension works only on fluid…

Fluid Dynamics · Physics 2013-09-17 Hanifa Terissa , Agra Barecasco , Christian Fredy Naa

We present the derivation of hydrodynamical equations for a perfect fluid in General Relativity, within the 3+1 decomposition of spacetime framework, using only primitive variables. Primitive variables are opposed to conserved variables, as…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Gaël Servignat , Jerome Novak , Isabel Cordero-Carrión

We propose an algorithm for simulating stochastic relativistic fluid dynamics based on Metropolis updates. Each step of the algorithm begins with an update based on ideal hydrodynamics. This is followed by proposing random (spatial)…

Nuclear Theory · Physics 2025-02-05 Jay Bhambure , Rajeev Singh , Derek Teaney

The numerical accuracy of particle-based approximations in Smoothed Particle Hydrodynamics (SPH) is significantly affected by the spatial uniformity of particle distributions, especially for second-order derivatives. This study aims to…

Numerical Analysis · Mathematics 2026-01-29 Zhonghua Qiao , Yifan Wei