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Journal articles on the topic 'Numerical Relativistic Hydrodynamics'

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1

Martí, José Ma, José Ma Ibáñez, and Juan A. Miralles. "Numerical relativistic hydrodynamics: Local characteristic approach." Physical Review D 43, no. 12 (1991): 3794–801. http://dx.doi.org/10.1103/physrevd.43.3794.

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2

van Odyck, D. E. A. "Review of numerical special relativistic hydrodynamics." International Journal for Numerical Methods in Fluids 44, no. 8 (2004): 861–84. http://dx.doi.org/10.1002/fld.678.

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3

Jeon, Sangyong, and Ulrich Heinz. "Introduction to hydrodynamics." International Journal of Modern Physics E 24, no. 10 (2015): 1530010. http://dx.doi.org/10.1142/s0218301315300106.

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Hydrodynamics has been successful in providing a good description of the bulk dynamics in ultra-relativistic heavy ion collisions. In this brief review, we provide basics of the theory of viscous hydrodynamics. Topics covered include derivation of the 2nd order viscous hydrodynamics from the linear response theory and kinetic theory, viscous anisotropic hydrodynamics, and numerical implementation of relativistic hydrodynamics.
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4

Chabanov, Michail, Luciano Rezzolla, and Dirk H. Rischke. "General-relativistic hydrodynamics of non-perfect fluids: 3+1 conservative formulation and application to viscous black hole accretion." Monthly Notices of the Royal Astronomical Society 505, no. 4 (2021): 5910–40. http://dx.doi.org/10.1093/mnras/stab1384.

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ABSTRACT We consider the relativistic hydrodynamics of non-perfect fluids with the goal of determining a formulation that is suited for numerical integration in special-relativistic and general-relativistic scenarios. To this end, we review the various formulations of relativistic second-order dissipative hydrodynamics proposed so far and present in detail a particular formulation that is fully general, causal, and can be cast into a 3+1 flux-conservative form, as the one employed in modern numerical-relativity codes. As an example, we employ a variant of this formulation restricted to a relax
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5

Ryu, Dongsu, Indranil Chattopadhyay, and Eunwoo Choi. "Equation of State in Numerical Relativistic Hydrodynamics." Astrophysical Journal Supplement Series 166, no. 1 (2006): 410–20. http://dx.doi.org/10.1086/505937.

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6

Millmore, S. T., and I. Hawke. "Numerical simulations of interfaces in relativistic hydrodynamics." Classical and Quantum Gravity 27, no. 1 (2009): 015007. http://dx.doi.org/10.1088/0264-9381/27/1/015007.

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7

Schneider, V., U. Katscher, D. H. Rischke, B. Waldhauser, J. A. Maruhn, and C. D. Munz. "New Algorithms for Ultra-relativistic Numerical Hydrodynamics." Journal of Computational Physics 105, no. 1 (1993): 92–107. http://dx.doi.org/10.1006/jcph.1993.1056.

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8

Font, J. A., J. M. Marti, J. M. Ibáñez, and E. Müller. "A Numerical Study of Relativistic Jets." Symposium - International Astronomical Union 175 (1996): 435–36. http://dx.doi.org/10.1017/s0074180900081353.

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Numerical simulations of supersonic jets are able to explain the structures observed in many VLA images of radio sources. The improvements achieved in classical simulations (see Hardee, these proceedings) are in contrast with the almost complete lack of relativistic simulations the reason being that numerical difficulties arise from the highly relativistic flows typical of extragalactic jets. For our study, we have developed a two-dimensional code which is based on (i) an explicit conservative differencing of the special relativistic hydrodynamics (SRH) equations and (ii) the use of an approxi
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9

Porter-Sobieraj, Joanna, Marcin Słodkowski, Daniel Kikoła, Jan Sikorski, and Paweł Aszklar. "A MUSTA-FORCE Algorithm for Solving Partial Differential Equations of Relativistic Hydrodynamics." International Journal of Nonlinear Sciences and Numerical Simulation 19, no. 1 (2018): 25–35. http://dx.doi.org/10.1515/ijnsns-2016-0131.

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AbstractUnderstanding event-by-event correlations and fluctuations is crucial for the comprehension of the dynamics of heavy ion collisions. Relativistic hydrodynamics is an elegant tool for modelling these phenomena; however, such simulations are time-consuming, and conventional CPU calculations are not suitable for event-by-event calculations. This work presents a feasibility study of a new hydrodynamic code that employs graphics processing units together with a general MUSTA-FORCE algorithm (Multi-Stage Riemann Algorithm – First-Order Centred Scheme) to deliver a high-performance yet univer
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10

Sokolov, Igor V., Hui-Min Zhang, Kyoko Furusawa, and Jun-Ichi Sakai. "Artificial Wind Numerical Scheme for MHD and Relativistic Hydrodynamics." Progress of Theoretical Physics Supplement 138 (2000): 706–7. http://dx.doi.org/10.1143/ptps.138.706.

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11

Blakely, P. M., N. Nikiforakis, and W. D. Henshaw. "Assessment of the MUSTA approach for numerical relativistic hydrodynamics." Astronomy & Astrophysics 575 (March 2015): A102. http://dx.doi.org/10.1051/0004-6361/201425182.

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12

Ibáñez, José María, Isabel Cordero-Carrión, and Juan Antonio Miralles. "On numerical relativistic hydrodynamics and barotropic equations of state." Classical and Quantum Gravity 29, no. 15 (2012): 157001. http://dx.doi.org/10.1088/0264-9381/29/15/157001.

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13

REZZOLLA, LUCIANO, and OLINDO ZANOTTI. "An improved exact Riemann solver for relativistic hydrodynamics." Journal of Fluid Mechanics 449 (December 10, 2001): 395–411. http://dx.doi.org/10.1017/s0022112001006450.

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A Riemann problem with prescribed initial conditions will produce one of three possible wave patterns corresponding to the propagation of the different discontinuities that will be produced once the system is allowed to relax. In general, when solving the Riemann problem numerically, the determination of the specific wave pattern produced is obtained through some initial guess which can be successively discarded or improved. We here discuss a new procedure, suitable for implementation in an exact Riemann solver in one dimension, which removes the initial ambiguity in the wave pattern. In parti
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14

Dieselhorst, Tobias, William Cook, Sebastiano Bernuzzi, and David Radice. "Machine Learning for Conservative-to-Primitive in Relativistic Hydrodynamics." Symmetry 13, no. 11 (2021): 2157. http://dx.doi.org/10.3390/sym13112157.

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The numerical solution of relativistic hydrodynamics equations in conservative form requires root-finding algorithms that invert the conservative-to-primitive variables map. These algorithms employ the equation of state of the fluid and can be computationally demanding for applications involving sophisticated microphysics models, such as those required to calculate accurate gravitational wave signals in numerical relativity simulations of binary neutron stars. This work explores the use of machine learning methods to speed up the recovery of primitives in relativistic hydrodynamics. Artificial
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15

DOS REIS, A. L. V. R., F. GRASSI, R. P. G. DE ANDRADE, Y. HAMA, and F. S. NAVARRA. "CHARGED PARTICLE RAPIDITY DISTRIBUTION, TRANSVERSE MOMENTUM DISTRIBUTION AND ELLIPTIC FLOW IN Cu+Cu COLLISIONS AT RHIC WITH NeXSPheRIO." International Journal of Modern Physics E 16, no. 09 (2007): 2970–73. http://dx.doi.org/10.1142/s0218301307008847.

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In this work we use the program SPheRIO1 (Smoothed Particle hydrodynamics evolution of Relativistic Ion collisions) to simulate the collision between two copper nuclei at 200 A GeV. SPheRIO is a numerical program that solves the hydrodynamics equations. We use the initial conditions provided by the program NeXus.2.
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16

Roth, Nathaniel, Peter Anninos, Peter B. Robinson, et al. "General Relativistic Implicit Monte Carlo Radiation-hydrodynamics." Astrophysical Journal 933, no. 2 (2022): 226. http://dx.doi.org/10.3847/1538-4357/ac75cb.

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Abstract We report on a new capability added to our general relativistic radiation-magnetohydrodynamics code, Cosmos++: an implicit Monte Carlo (IMC) treatment for radiation transport. The method is based on a Fleck-type implicit discretization of the radiation-hydrodynamics equations, but generalized for both Newtonian and relativistic regimes. A multiple reference frame approach is used to geodesically transport photon packets (and solve the hydrodynamics equations) in the coordinate frame, while radiation–matter interactions are handled either in the fluid or electron frames then communicat
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17

Martí, José Ma, and Ewald Müller. "The analytical solution of the Riemann problem in relativistic hydrodynamics." Journal of Fluid Mechanics 258 (January 10, 1994): 317–33. http://dx.doi.org/10.1017/s0022112094003344.

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We consider the decay of an initial discontinuity in a polytropic gas in a Minkowski space–time (the special relativistic Riemann problem). In order to get a general analytical solution for this problem, we analyse the properties of the relativistic flow across shock waves and rarefactions. As in classical hydrodynamics, the solution of the Riemann problem is found by solving an implicit algebraic equation which gives the pressure in the intermediate states. The solution presented here contains as a particular case the special relativistic shock-tube problem in which the gas is initially at re
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18

Andreev, Pavel A. "Spin-electron-acoustic waves and solitons in high-density degenerate relativistic plasmas." Physics of Plasmas 29, no. 12 (2022): 122102. http://dx.doi.org/10.1063/5.0114914.

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Spin-electron-acoustic waves (sometimes called spin-plasmons) can be found in degenerate electron gases if spin-up electrons and spin-down electrons move relatively each other. Here, we suggest relativistic hydrodynamics with separate spin evolution, which allows us to study linear and nonlinear spin-electron-acoustic waves, including the spin-electron-acoustic solitons. The presented hydrodynamic model is the corresponding generalization of the relativistic hydrodynamic model with the average reverse gamma factor evolution, which consists of equations for evolution of the following functions:
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19

Tchekhovskoy, A., J. C. McKinney, and R. Narayan. "WHAM: a WENO-based general relativistic numerical scheme - I. Hydrodynamics." Monthly Notices of the Royal Astronomical Society 379, no. 2 (2007): 469–97. http://dx.doi.org/10.1111/j.1365-2966.2007.11876.x.

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20

Banyuls, Francesc, Jose A. Font, Jose Ma Ibanez, Jose Ma Marti, and Juan A. Miralles. "Numerical {3 + 1} General Relativistic Hydrodynamics: A Local Characteristic Approach." Astrophysical Journal 476, no. 1 (1997): 221–31. http://dx.doi.org/10.1086/303604.

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21

Choi, Eunwoo, and Dongsu Ryu. "Numerical relativistic hydrodynamics based on the total variation diminishing scheme." New Astronomy 11, no. 2 (2005): 116–29. http://dx.doi.org/10.1016/j.newast.2005.06.010.

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22

Takamoto, Makoto, and Shu-ichiro Inutsuka. "A fast numerical scheme for causal relativistic hydrodynamics with dissipation." Journal of Computational Physics 230, no. 18 (2011): 7002–17. http://dx.doi.org/10.1016/j.jcp.2011.05.030.

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23

MacFadyen, A. I. "Long GRBs and Supernovae from Collapsars." International Astronomical Union Colloquium 192 (2005): 417–23. http://dx.doi.org/10.1017/s0252921100009490.

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SummaryLong duration gamma-ray bursts are associated with the death of massive stars as earlier observations and theoretical arguments had suggested. Supernova 2003dh observed with GRB030329 confirms this picture. Current progress in developing numerical special relativistic hydrodynamics codes with adaptive mesh refinement is allowing for high-resolution simulations of relativistic flow relevant for simulations of GRBs.
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24

Chang, Philip, and Zachariah B. Etienne. "General relativistic hydrodynamics on a moving-mesh I: static space–times." Monthly Notices of the Royal Astronomical Society 496, no. 1 (2020): 206–14. http://dx.doi.org/10.1093/mnras/staa1532.

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ABSTRACT We present the moving-mesh general relativistic hydrodynamics solver for static space–times as implemented in the code, MANGA. Our implementation builds on the architectures of MANGA and the numerical relativity python package NRPy+. We review the general algorithm to solve these equations and, in particular, detail the time-stepping; Riemann solution across moving faces; conversion between primitive and conservative variables; validation and correction of hydrodynamic variables; and mapping of the metric to a Voronoi moving-mesh grid. We present test results for the numerical integra
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25

Zhang, Hui-Min, Igor V. Sokolov, Kyoko Furusawa, and Jun-Ichi Sakai. "Applications of Artificial Wind Numerical Scheme for Relativistic Hydrodynamics in Astrophysics." Progress of Theoretical Physics Supplement 138 (2000): 642–43. http://dx.doi.org/10.1143/ptps.138.642.

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26

Townsend, Jamie F., László Könözsy, and Karl W. Jenkins. "On the development of a rotated-hybrid HLL/HLLC approximate Riemann solver for relativistic hydrodynamics." Monthly Notices of the Royal Astronomical Society 496, no. 2 (2020): 2493–505. http://dx.doi.org/10.1093/mnras/staa1648.

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ABSTRACT This work presents the development of a rotated-hybrid Riemann solver for solving relativistic hydrodynamics (RHD) problems with the hybridization of the HLL and HLLC (or Rusanov and HLLC) approximate Riemann solvers. A standalone application of the HLLC Riemann solver can produce spurious numerical artefacts when it is employed in conjunction with Godunov-type high-order methods in the presence of discontinuities. It has been found that a rotated-hybrid Riemann solver with the proposed HLL/HLLC (Rusanov/HLLC) scheme could overcome the difficulty of the spurious numerical artefacts an
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27

Kulikov, Igor, Igor Chernykh, Dmitry Karavaev, et al. "A New Parallel Code Based on a Simple Piecewise Parabolic Method for Numerical Modeling of Colliding Flows in Relativistic Hydrodynamics." Mathematics 10, no. 11 (2022): 1865. http://dx.doi.org/10.3390/math10111865.

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A new parallel code based on models of special relativistic hydrodynamics is presented for describing interacting flows. A new highly accurate numerical method is considered and verified. A parallel implementation of the method by means of Coarray Fortran technology and its efficiency are described in detail. The code scalability is 92% on a cluster with Intel Xeon 6248R NKS-1P with 192 Coarray Fortran images. Different interacting relativistic flows are considered as astrophysical applications.
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28

Słodkowski, Marcin, Patryk Gawryszewski, Patryk Marcinkowski, Dominik Setniewski, and Joanna Porter-Sobieraj. "Simulations of Energy Losses in the Bulk Nuclear Medium Using Hydrodynamics on the Graphics Cards (GPU)." Proceedings 10, no. 1 (2019): 27. http://dx.doi.org/10.3390/proceedings2019010027.

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We are developing a software for energy loss simulation which is affected by jets in the nuclear matter described by relativistic hydrodynamics. Our program uses a Cartesian coordinate system in order to provide high spatial resolution for the analysis of jets propagation in nuclear matter. In this work, we use 7th order WENO numerical algorithm which is resistant to numerical oscillations and diffusions. For simulating energy losses in the bulk nuclear medium, we develop efficient hydrodynamic simulation program for parallel computing using Graphics Processing Unit (GPU) and Compute Unified D
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29

HAIN, S., P. MULSER, F. CORNOLTI, and H. OPOWER. "Hydrodynamic models and schemes for fast ignition." Laser and Particle Beams 17, no. 2 (1999): 245–63. http://dx.doi.org/10.1017/s0263034699172100.

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In this paper, we want to discuss different hydrodynamic schemes for fast ignition and some of their basic effects. Relativistic hydrodynamics and a covariant generalized Ohm's law are presented. Matter perforation (hole boring) by an intense laser pulse is investigated by 2D numerical simulations and a simple formula for the perforation speed is derived. Furthermore, we study macroparticle acceleration by an intense laser beam and the possibility to provide an energetic and massive projectile for ballistic ignition. The dynamics of ignition of a precompressed D–T mixture is illustrated by num
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30

Maldonado-Gonzalez, Julio Cesar, Alejandro Ayala, Isabel Dominguez, and Maria Elena Tejeda-Yeomans. "QGP hydrodynamical study using energy-momentum in-medium deposition by an extended source." EPJ Web of Conferences 172 (2018): 08003. http://dx.doi.org/10.1051/epjconf/201817208003.

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The quark-gluon plasma (QGP) is created under extreme conditions, such as the ones prevailing in heavy ion collisions. The characterization of the QGP can be done using high-pT probes such as the partons that are created through hard scatterings in the fireball. These fast-moving partons lose energy and momentum along their traveled path through the medium. The parton deposition of energy-momentum creates an in-medium disturbance that can be described using approximations within relativistic hydrodynamics in a defined regime of the QGP evolution. Based on earlier research in this field, we stu
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31

Musoke, G., A. J. Young, and M. Birkinshaw. "Hydrodynamic simulations of AGN jets: the impact of Riemann solvers and spatial reconstruction schemes on jet evolution." Monthly Notices of the Royal Astronomical Society 498, no. 3 (2020): 3870–87. http://dx.doi.org/10.1093/mnras/staa2657.

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ABSTRACT Numerical simulations play an essential role in helping us to understand the physical processes behind relativistic jets in active galactic nuclei. The large number of hydrodynamic codes available today enables a variety of different numerical algorithms to be utilized when conducting the simulations. Since many of the simulations presented in the literature use different combinations of algorithms it is important to quantify the differences in jet evolution that can arise due to the precise numerical schemes used. We conduct a series of simulations using the flash (magneto-)hydrodyna
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32

He, Peng, and Huazhong Tang. "An Adaptive Moving Mesh Method for Two-Dimensional Relativistic Hydrodynamics." Communications in Computational Physics 11, no. 1 (2012): 114–46. http://dx.doi.org/10.4208/cicp.291010.180311a.

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AbstractThis paper extends the adaptive moving mesh method developed by Tang and Tang [36] to two-dimensional (2D) relativistic hydrodynamic (RHD) equations. The algorithm consists of two “independent” parts: the time evolution of the RHD equations and the (static) mesh iteration redistribution. In the first part, the RHD equations are discretized by using a high resolution finite volume scheme on the fixed but nonuniform meshes without the full characteristic decomposition of the governing equations. The second part is an iterative procedure. In each iteration, the mesh points are first redis
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33

Zhao, Jian, and Huazhong Tang. "Runge-Kutta Central Discontinuous Galerkin Methods for the Special Relativistic Hydrodynamics." Communications in Computational Physics 22, no. 3 (2017): 643–82. http://dx.doi.org/10.4208/cicp.oa-2016-0192.

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AbstractThis paper develops Runge-Kutta PK-based central discontinuous Galerkin (CDG) methods with WENO limiter for the one- and two-dimensional special relativistic hydrodynamical (RHD) equations, K = 1,2,3. Different from the non-central DG methods, the Runge-Kutta CDG methods have to find two approximate solutions defined on mutually dual meshes. For each mesh, the CDG approximate solutions on its dual mesh are used to calculate the flux values in the cell and on the cell boundary so that the approximate solutions on mutually dual meshes are coupled with each other, and the use of numerical
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34

QAMAR, SHAMSUL, and GERALD WARNECKE. "A HIGH ORDER KINETIC FLUX-SPLITTING METHOD FOR THE SPECIAL RELATIVISTIC HYDRODYNAMICS." International Journal of Computational Methods 02, no. 01 (2005): 49–74. http://dx.doi.org/10.1142/s0219876205000338.

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In this article we present a flux splitting method based on gas-kinetic theory for the special relativistic hydrodynamics (SRHD) [Landau and Lifshitz, Fluid Mechanics, Pergamon New York, 1987] in one and two space dimensions. This kinetic method is based on the direct splitting of the macroscopic flux functions with the consideration of particle transport. At the same time, particle "collisions" are implemented in the free transport process to reduce numerical dissipation. Due to the nonlinear relations between conservative and primitive variables and the consequent complexity of the Jacobian
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35

Falle, S. A. E. G., and S. S. Komissarov. "An upwind numerical scheme for relativistic hydrodynamics with a general equation of state." Monthly Notices of the Royal Astronomical Society 278, no. 2 (1996): 586–602. http://dx.doi.org/10.1093/mnras/278.2.586.

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36

Dubus, G., A. Lamberts, and S. Fromang. "Modelling the high-energy emission from gamma-ray binaries using numerical relativistic hydrodynamics." Astronomy & Astrophysics 581 (August 27, 2015): A27. http://dx.doi.org/10.1051/0004-6361/201425394.

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37

Słodkowski, Marcin, Dominik Setniewski, Paweł Aszklar, and Joanna Porter-Sobieraj. "Modeling the Dynamics of Heavy-Ion Collisions with a Hydrodynamic Model Using a Graphics Processor." Symmetry 13, no. 3 (2021): 507. http://dx.doi.org/10.3390/sym13030507.

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Dense bulk matter is formed during heavy-ion collision and expands towards a vacuum. It behaves as a perfect fluid, described by relativistic hydrodynamics. In order to study initial condition fluctuation and properties of jet propagation in dense hot matter, we assume a Cartesian laboratory frame with several million cells in a stencil with high-accuracy data volume grids. Employing numerical algorithms to solve hydrodynamic equations in such an assumption requires a lot of computing power. Hydrodynamic simulations of nucleus + nucleus interactions in the range of energies of the Large Hadron
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38

Fromm, C. M., Z. Younsi, A. Baczko, et al. "Using evolutionary algorithms to model relativistic jets." Astronomy & Astrophysics 629 (August 22, 2019): A4. http://dx.doi.org/10.1051/0004-6361/201834724.

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Context. High-resolution very long baseline interferometry (VLBI) observations of NGC 1052 show a two sided jet with several regions of enhanced emission and a clear emission gap between the two jets. This gap shrinks with increasing frequency and vanishes around ν ∼ 43 GHz. The observed structures are due to both the macroscopic fluid dynamics interacting with the surrounding ambient medium including an obscuring torus and the radiation microphysics. In order to model the observations of NGC 1052 via state-of-the art numerical simulations both the fluid-dynamical and emission processes have t
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39

Akimova, Elena N., Vladimir E. Misilov, Igor M. Kulikov, and Igor G. Chernykh. "OMPEGAS: Optimized Relativistic Code for Multicore Architecture." Mathematics 10, no. 14 (2022): 2546. http://dx.doi.org/10.3390/math10142546.

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The paper presents a new hydrodynamical code, OMPEGAS, for the 3D simulation of astrophysical flows on shared memory architectures. It provides a numerical method for solving the three-dimensional equations of the gravitational hydrodynamics based on Godunov’s method for solving the Riemann problem and the piecewise parabolic approximation with a local stencil. It obtains a high order of accuracy and low dissipation of the solution. The code is implemented for multicore processors with vector instructions using the OpenMP technology, Intel SDLT library, and compiler auto-vectorization tools. T
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40

Wu, Kailiang, Zhicheng Yang, and Huazhong Tang. "A Third-Order Accurate Direct Eulerian GRP Scheme for One-Dimensional Relativistic Hydrodynamics." East Asian Journal on Applied Mathematics 4, no. 2 (2014): 95–131. http://dx.doi.org/10.4208/eajam.101013.100314a.

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AbstractA third-order accurate direct Eulerian generalised Riemann problem (GRP) scheme is derived for the one-dimensional special relativistic hydrodynamical equations. In our GRP scheme, the higher-order WENO initial reconstruction is employed, and the local GRPs in the Eulerian formulation are directly and analytically resolved to third-order accuracy via the Riemann invariants and Rankine-Hugoniot jump conditions, to get the approximate states in numerical fluxes. Unlike a previous second-order accurate GRP scheme, for the non-sonic case the limiting values of the second-order time derivat
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41

Sotani, Hajime, and Kohsuke Sumiyoshi. "Stability of the protoneutron stars towards black hole formation." Monthly Notices of the Royal Astronomical Society 507, no. 2 (2021): 2766–76. http://dx.doi.org/10.1093/mnras/stab2301.

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ABSTRACT We examine the protoneutron star (PNS) stability in this study by solving the radial oscillation equations. For this purpose, we adopt the numerical results of a massive PNS towards the black hole formation obtained by spherically symmetric numerical simulations for a core-collapse supernova with general relativistic neutrino-radiation hydrodynamics. We find that the PNSs are basically stable in their evolution against the radial perturbations, while the PNS finally becomes unstable before the apparent horizon appears inside the PNS. We also examine the gravitational wave frequencies
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42

Wu, Zhenyu, Giacomo Ricigliano, Rahul Kashyap, Albino Perego, and David Radice. "Radiation hydrodynamics modelling of kilonovae with SNEC." Monthly Notices of the Royal Astronomical Society 512, no. 1 (2022): 328–47. http://dx.doi.org/10.1093/mnras/stac399.

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ABSTRACT We develop a method to compute synthetic kilonova light curves that combine numerical relativity simulations of neutron star mergers and the SNEC radiation–hydrodynamics code. We describe our implementation of initial and boundary conditions, r-process heating, and opacities for kilonova simulations. We validate our approach by carefully checking that energy conservation is satisfied and by comparing the SNEC results with those of two semi-analytic light-curve models. We apply our code to the calculation of colour light curves for three binaries having different mass ratios (equal and
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43

ALBERICO, W. M., A. BERAUDO, A. DE PACE, et al. "LANGEVIN DYNAMICS OF HEAVY FLAVORS IN RELATIVISTIC HEAVY-ION COLLISIONS." International Journal of Modern Physics E 20, no. 07 (2011): 1623–28. http://dx.doi.org/10.1142/s0218301311019982.

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We study the stochastic dynamics of c and b quarks, produced in hard initial processes, in the hot medium created after the collision of two relativistic heavy ions. This is done through the numerical solution of the relativistic Langevin equation. The latter requires the knowledge of the friction and diffusion coefficients, whose microscopic evaluation is performed treating separately the contribution of soft and hard collisions. The evolution of the background medium is described by ideal/viscous hydrodynamics. Below the critical temperature the heavy quarks are converted into hadrons, whose
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44

Kedia, Atul, Grant Mathews, Hee Il Kim, and In-Saeng Suh. "Binary neutron star mergers of quark matter based nuclear equations of state." EPJ Web of Conferences 260 (2022): 11004. http://dx.doi.org/10.1051/epjconf/202226011004.

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With observations of gravitational wave signals from binary neutron star mergers (BNSM) by LIGO-Virgo-KAGRA (LVK) Collaboration and NICER, the nuclear equation of state (EOS) is becoming increasingly testable by complementary numerical simulations. Numerous simulations currently explore the EOS at different density regimes for the constituent neutron stars specifically narrowing the uncertainty in the sub-nuclear densities. In this paper we summarize the three-dimensional general relativistic-hydrodynamics based simulations of BNSMs for EOSs with a specific emphasis on the quark matter EOS at th
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45

Kulikov, Igor, Igor Chernykh, Anna Sapetina, and Vladimir Prigarin. "A new MPI/OpenMP code for numerical modeling of relativistic hydrodynamics by means adaptive nested meshes." Journal of Physics: Conference Series 1336 (November 2019): 012008. http://dx.doi.org/10.1088/1742-6596/1336/1/012008.

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46

Wu, Kailiang. "Minimum Principle on Specific Entropy and High-Order Accurate Invariant-Region-Preserving Numerical Methods for Relativistic Hydrodynamics." SIAM Journal on Scientific Computing 43, no. 6 (2021): B1164—B1197. http://dx.doi.org/10.1137/21m1397994.

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Cannizzo, John K., Neil Gehrels, and Ethan T. Vishniac. "A Numerical Gamma‐Ray Burst Simulation Using Three‐Dimensional Relativistic Hydrodynamics: The Transition from Spherical to Jetlike Expansion." Astrophysical Journal 601, no. 1 (2004): 380–90. http://dx.doi.org/10.1086/380436.

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Dönmez, Orhan. "Solving 1-D special relativistic hydrodynamics (SRH) equations using different numerical methods and results from different test problems." Applied Mathematics and Computation 181, no. 1 (2006): 256–70. http://dx.doi.org/10.1016/j.amc.2006.01.031.

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Weih, Lukas R., Hector Olivares, and Luciano Rezzolla. "Two-moment scheme for general-relativistic radiation hydrodynamics: a systematic description and new applications." Monthly Notices of the Royal Astronomical Society 495, no. 2 (2020): 2285–304. http://dx.doi.org/10.1093/mnras/staa1297.

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Abstract:
ABSTRACT We provide a systematic description of the steps necessary – and of the potential pitfalls to be encountered – when implementing a two-moment scheme within an implicit–explicit (IMEX) scheme to include radiative-transfer contributions in numerical simulations of general-relativistic (magneto-)hydrodynamics (GRMHD). We make use of the M1 closure, which provides an exact solution for the optically thin and thick limits, and an interpolation between these limits. Special attention is paid to the efficient solution of the emerging set of implicit conservation equations. In particular, we
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Meliani, Zakaria, Yosuke Mizuno, Hector Olivares, Oliver Porth, Luciano Rezzolla, and Ziri Younsi. "Simulations of recoiling black holes: adaptive mesh refinement and radiative transfer." Astronomy & Astrophysics 598 (January 27, 2017): A38. http://dx.doi.org/10.1051/0004-6361/201629191.

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Context. In many astrophysical phenomena, and especially in those that involve the high-energy regimes that always accompany the astronomical phenomenology of black holes and neutron stars, physical conditions that are achieved are extreme in terms of speeds, temperatures, and gravitational fields. In such relativistic regimes, numerical calculations are the only tool to accurately model the dynamics of the flows and the transport of radiation in the accreting matter. Aims. We here continue our effort of modelling the behaviour of matter when it orbits or is accreted onto a generic black hole
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