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We present an implementation of Smoothed Particle Hydrodynamics (SPH) in an adaptive-mesh PPPM algorithm. The code evolves a mixture of purely gravitational particles and gas particles. The code retains the desirable properties of previous…

Astrophysics · Physics 2009-10-22 H. M. P. Couchman , P. A. Thomas , F. R. Pearce

Smoothed Particle Hydrodynamics is a multidimensional Lagrangian method of numerical hydrodynamics that has been used to tackle a wide variety of problems in astrophysics. Here we develop the basic equations of the SPH scheme, and we…

Astrophysics · Physics 2007-05-23 Frederic A. Rasio , James C. Lombardi

In this paper, we propose a reduced-dimensional smoothed particle hydrodynamics (SPH) formulation for quasi-static and dynamic analyses of plate and shell structures undergoing finite deformation and large rotation. By exploiting…

Numerical Analysis · Mathematics 2023-09-07 Dong Wu , Chi Zhang , Xiangyu Hu

In this paper, we present a multi-resolution smoothed particle hydrodynamics (SPH) method for modeling fluid-structure interaction (FSI) problems. By introducing different smoothing lengths and time steps, the spatio-temporal discretization…

Computational Engineering, Finance, and Science · Computer Science 2019-12-02 Chi Zhang , Massoud Rezavand , Xiangyu Hu

We present a new methodology for simulating self-gravitating general-relativistic fluids. In our approach the fluid is modelled by means of Lagrangian particles in the framework of a general-relativistic (GR) Smooth Particle Hydrodynamics…

General Relativity and Quantum Cosmology · Physics 2025-06-12 S. Rosswog , P. Diener

The Smoothed Particles Hydrodynamics (SPH) is a particle-based, meshfree, Lagrangian method used to simulate multidimensional fluids with arbitrary geometries, most commonly employed in astrophysics, cosmology, and computational…

Computational Engineering, Finance, and Science · Computer Science 2022-12-21 Aurélien Cavelan , Rubén M. Cabezón , Michal Grabarczyk , Florina M. Ciorba

Smoothed particle hydrodynamics (SPH) discretization techniques are generalized to develop a method, smoothed particle interpolation (SPI), for solving initial value problems of systems of non-hydrodynamical nature. Under this approach, SPH…

Astrophysics · Physics 2009-10-22 Pablo Laguna

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

The choice of a time integration scheme is a crucial aspect of any transient fluid simulation, and Smoothed-Particle Hydrodynamics (SPH) is no exception. The influence of the time integration scheme on energy balance is here addressed. To…

Stimulated by recent results by Meru and Bate (2010a,b), we revisit the issue of resolution requirements for simulating self-gravitating accretion discs with Smoothed Particle Hydrodynamics (SPH). We show that the results by Meru and Bate…

Solar and Stellar Astrophysics · Physics 2015-05-27 Giuseppe Lodato , Cathie C. Clarke

Smoothed particle hydrodynamics is a particle-based, fully Lagrangian, method for fluid-flow simulations. In this work, fundamental concepts of the method are first briefly recalled. Then, we present a thorough comparison of three different…

Fluid Dynamics · Physics 2012-08-22 Kamil Szewc , Jacek Pozorski , Jean-Pierre Minier

We present a fully Lagrangian conservation form of the general relativistic hydrodynamic equations for perfect fluids with artificial viscosity in a given arbitrary background spacetime. This conservation formulation is achieved by choosing…

Astrophysics · Physics 2009-10-31 S. Siegler , H. Riffert

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.…

Fluid Dynamics · Physics 2019-02-20 Wei Hu , Guannan Guo , Xiaozhe Hu , Dan Negrut , Zhijie Xu , Wenxiao Pan

Particle-based boundary representations are frequently used in Smoothed Particle Hydrodynamics (SPH) due to their simple integration into fluid solvers. Commonly, incompressible fluid solvers estimate the current density and corresponding…

Graphics · Computer Science 2023-06-22 Rustam Akhunov , Andreas Kolb

Smoothed Dissipative Particle Dynamics (SDPD) is a mesoscopic method which allows to select the level of resolution at which a fluid is simulated. In this work, we study the consistency of the resulting thermodynamic properties as a…

Statistical Mechanics · Physics 2016-10-19 G. Faure , J. Roussel , J. -B. Maillet , G. Stoltz

This study presents a smoothed particle hydrodynamics (SPH) method with Peng-Robinson equation of state for simulating drop vaporization and drop impact on a hot surface. The conservation equations of momentum and energy and Peng-Robinson…

Fluid Dynamics · Physics 2017-07-14 Manjil Ray , Xiufeng Yang , Song-Charng Kong

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

Numerical Analysis · Mathematics 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

Computational fluid dynamics is a crucial tool to theoretically explore the cosmos. In the last decade, we have seen a substantial methodological diversification with a number of cross-fertilizations between originally different methods.…

Instrumentation and Methods for Astrophysics · Physics 2023-01-25 Stephan Rosswog

Simulations using the Smoothed Particle Hydrodynamics (SPH) technique typically include numerical viscosity to model shocks and maintain particle order on the kernel scale. This numerical viscosity is composed of linear and quadratic terms,…

Solar and Stellar Astrophysics · Physics 2025-06-02 Cheng Chen , C. J. Nixon

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
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