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This paper presents a grid-free simulation algorithm for the fully three-dimensional Vlasov--Poisson system for collisionless electron plasmas. We employ a standard particle method for the numerical approximation of the distribution…

Numerical Analysis · Mathematics 2020-03-06 Torsten Keßler , Sergej Rjasanow , Steffen Weißer

Resolving the most fundamental questions in cosmology requires simulations that match the scale, fidelity, and physical complexity demanded by next-generation sky surveys. To achieve the realism needed for this critical scientific…

Hydrodynamic equations for a one-component plasma are derived as a generalization of the Euler equations to include the effects of the long-range Coulomb interaction. By using a variational principle, these equations self-consistently unify…

Plasma Physics · Physics 2024-03-20 Daniels Krimans , Seth Putterman

Cartesian-grid methods in combination with immersed-body and volume-of-fluid methods are ideally suited for simulating breaking waves around ships. A surface panelization of the ship hull is used as input to impose body-boundary conditions…

Fluid Dynamics · Physics 2014-10-10 Thomas T. O'Shea , Kyle A. Brucker , Douglas G. Dommermuth , Donald C. Wyatt

A new computational method is presented to resolve hydrodynamic interactions acting on solid particles immersed in incompressible host fluids. In this method, boundaries between solid particles and host fluids are replaced with a continuous…

Soft Condensed Matter · Physics 2009-11-10 Y. Nakayama , R. Yamamoto

We compare two state-of-the-art numerical codes to study the overall accuracy in modeling the intergalactic medium and reproducing Lyman-$\alpha$ forest observables for DESI and high-resolution data sets. The codes employ different…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-30 Solène Chabanier , J. D. Emberson , Zarija Lukić , Jesus Pulido , Salman Habib , Esteban Rangel , Jean Sexton , Nicholas Frontiere , Michael Buehlmann

Simulation of plasmas in electromagnetic fields requires numerical solution of a kinetic equation that describes the time evolution of the particle distribution function. In this paper we propose a finite volume scheme based on integral…

The post-Newtonian (PN) approximation, based on the assumptions of weak gravitational fields and slow motions, provides a way to estimate general relativistic effects in the fully nonlinear evolution stage of the large-scale cosmic…

Astrophysics · Physics 2011-03-28 Jai-chan Hwang , Hyerim Noh , Dirk Puetzfeld

We present a new multidimensional classical hydrodynamics code based on Semidiscrete Central Godunov-type schemes and high order Weighted Essentially Non-oscillatory (WENO) data reconstruction. This approach is a lot simpler and easier to…

Astrophysics · Physics 2007-05-23 Tanvir Rahman , R. B. Moore

We study the dynamics and the phase-space structures of Coulombic and self-gravitating versions of the classical one-dimensional 3-body system with periodic boundary conditions. We demonstrate that such a 3-body system may be reduced…

Chaotic Dynamics · Physics 2016-04-27 Pankaj Kumar , Bruce N. Miller

It is well known that the number of particles should be scaled up to enable industrial scale simulation. The calculations are more computationally intensive when the motion of the surrounding fluid is considered. Besides the advances in…

Computational Physics · Physics 2014-07-28 Hao Zhang , F. Xavier Trias , Assensi Oliva , Dongmin Yang , Yuanqiang Tan , Shi Shu , Yong Sheng

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 present a reduction-consistent and thermodynamically consistent formulation and an associated numerical algorithm for simulating the dynamics of an isothermal mixture consisting of $N$ ($N\geqslant 2$) immiscible incompressible fluids…

Fluid Dynamics · Physics 2018-03-14 Suchuan Dong

In this paper we present results from a series of hydrodynamical tests aimed at validating the performance of a smoothed particle hydrodynamics (SPH) formulation in which gradients are derived from an integral approach. We specifically…

Instrumentation and Methods for Astrophysics · Physics 2016-11-09 R. Valdarnini

Kinetic approaches are routinely employed to simulate the dynamics of systems that are too rarified to be described by the Navier-Stokes equations. However, generally they are far too computationally expensive to be applied for systems that…

Fluid Dynamics · Physics 2014-04-18 Irina Sagert , Dirk Colbry , Terrance Strother , Rodney Pickett , Wolfgang Bauer

Cosmological simulations involving the fully covariant gravitational dynamics may prove relevant in understanding relativistic/non-linear features and, therefore, in taking better advantage of the upcoming large scale structure survey data.…

General Relativity and Quantum Cosmology · Physics 2017-11-15 David Daverio , Yves Dirian , Ermis Mitsou

Numerical methods have become a powerful tool for research in astrophysics, but their utility depends critically on the availability of suitable simulation codes. This calls for continuous efforts in code development, which is necessitated…

Instrumentation and Methods for Astrophysics · Physics 2021-08-19 Volker Springel , Rüdiger Pakmor , Oliver Zier , Martin Reinecke

We present a new N-body code, gevolution, for the evolution of large scale structure in the Universe. Our code is based on a weak field expansion of General Relativity and calculates all six metric degrees of freedom in Poisson gauge.…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-05 Julian Adamek , David Daverio , Ruth Durrer , Martin Kunz

A thermodynamic description of cosmological spacetimes may provide insights into the fundamentals of the cosmic evolution that remain otherwise obscure, similar to `black hole thermodynamics'. We investigate the thermodynamic properties of…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Dipayan Mukherjee , Harkirat Singh Sahota , Swati Gavas

A method of adapting smoothed particle hydrodynamics (SPH) with periodic boundary conditions for use with the special purpose device GRAPE is presented. GRAPE (GRAvity PipE) solves the Poisson and force equations for an N-body system by…

Astrophysics · Physics 2015-06-24 Ralf Klessen