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The effects of the cosmological constant on the static equilibrium configurations and stability against small radial perturbations of relativistic polytropic spheres are investigated. This study numerically solves the hydrostatic…

General Relativity and Quantum Cosmology · Physics 2020-04-15 José D. V. Arbañil , Pedro H. R. S. Moraes

In this paper, we consider the 3-D compressible isentropic radiation hydrodynamics (RHD) equations. The local existence of strong solutions with vacuum is firstly established when the initial data is arbitrarily large, contains vacuum and…

Analysis of PDEs · Mathematics 2014-11-03 Yachun Li , Shengguo Zhu

In fluid dynamical simulations in astrophysics, large deformations are common and surface tracking is sometimes necessary. Smoothed Particle Hydrodynamics (SPH) method has been used in many of such simulations. Recently, however, it has…

Instrumentation and Methods for Astrophysics · Physics 2017-03-29 Satoko Yamamoto , Junichiro Makino

In this paper we present the first results from implementing two scalar-tensor modified gravity theories, the symmetron and the Hu-Sawicki $f(R)$-gravity model, into a hydrodynamic N-body code with dark matter particles and a baryonic ideal…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 Amir Hammami , Claudio Llinares , David F. Mota , Hans A. Winther

The incompressible smoothed particle hydrodynamics method (ISPH) is a numerical method widely used for accurately and efficiently solving flow problems with free surface effects. However, to date there has been little mathematical…

Numerical Analysis · Mathematics 2019-07-03 Y. Imoto

We present the first-ever moving-mesh general relativistic hydrodynamics solver for static spacetimes as implemented in the code, MANGA. Our implementation builds on the architectures of MANGA and the numerical relativity Python package…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Philip Chang , Zachariah Etienne

We explore the application of Monte Carlo transport methods to solving coupled radiation-hydrodynamics problems. We use a time-dependent, frequency-dependent, 3-dimensional radiation transport code, that is special relativistic and includes…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 Nathaniel Roth , Daniel Kasen

The study of the stability of massive gaseous disks around a star in a non-isolated context is not a trivial issue and becomes a more complicated task for disks hosted by binary systems. The role of self-gravity is thought to be…

Instrumentation and Methods for Astrophysics · Physics 2019-08-14 Luis Diego Pinto , Roberto Capuzzo-Dolcetta , Gianfranco Magni

We investigate the relativistic cosmological hydrodynamic perturbations. We present the general large scale solutions of the perturbation variables valid for the general sign of three space curvature, the cosmological constant, and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hwang , H. Noh

The smoothed particle hydrodynamics (SPH) technique is a purely Lagrangian method, used in numerical simulations of fluids in astrophysics and computational fluid dynamics, among many other fields. SPH simulations with detailed physics…

We examine how three fundamentally different numerical hydrodynamics codes follow the evolution of an isothermal galactic disc with an external spiral potential. We compare an adaptive mesh refinement code (RAMSES), a smoothed particle…

Astrophysics of Galaxies · Physics 2016-08-08 C. G. Few , C. Dobbs , A. Pettitt , L. Konstandin

This paper describes a multidimensional hydrodynamic code which can be used for the studies of relativistic astrophysical flows. The code solves the special relativistic hydrodynamic equations as a hyperbolic system of conservation laws…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Orhan Donmez , Refik Kayali

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

We present a practical guide to Smoothed Particle Hydrodynamics (\SPH) and its application to astrophysical problems. Although remarkably robust, \SPH\ must be used with care if the results are to be meaningful since the accuracy of \SPH\…

Astrophysics · Physics 2007-05-23 T. J. Martin , F. R. Pearce , P. A. Thomas

We investigate the possibility to approximate relativistic effects in hydrodynamical simulations of stellar core collapse and post-bounce evolution by using a modified gravitational potential in an otherwise standard Newtonian hydrodynamic…

Astrophysics · Physics 2009-11-10 A. Marek , H. Dimmelmeier , H. -Th. Janka , E. Mueller , R. Buras

In this paper we describe an adaptive softening length formalism for collisionless N-body and self-gravitating Smoothed Particle Hydrodynamics (SPH) calculations which conserves momentum and energy exactly. This means that spatially…

Astrophysics · Physics 2016-08-31 D. J. Price , J. J. Monaghan

We present a new numerical study of the equilibrium and stability properties of close binary systems using the smoothed-particle hydrodynamics (SPH) technique. We adopt a simple polytropic equation of state $p=K\rho^\gam$ with $\gam=5/3$…

Astrophysics · Physics 2009-10-22 F. A. Rasio , S. L. Shapiro

A well-balanced scheme for a gravitational hydrodynamic system is defined as a scheme which could precisely preserve a hydrostatic isothermal solution. In this paper, we will construct a well-balanced gas-kinetic symplecticity-preserving…

Computational Physics · Physics 2010-12-16 Jun Luo , Kun Xu , Na Liu

Astrophysical relativistic flow problems require high resolution three-dimensional numerical simulations. In this paper, we describe a new parallel three-dimensional code for simulations of special relativistic hydrodynamics (SRHD) using…

Astrophysics · Physics 2009-11-13 Peng Wang , Tom Abel , Weiqun Zhang

The main features of a three dimensional, high-resolution special relativistic hydro code based on relativistic Riemann solvers are described. The capabilities and performance of the code are discussed. In particular, we present the results…

Astrophysics · Physics 2009-10-31 M. A. Aloy , J. M. Ibanez , J. M. Marti , E. Muller
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