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We present a newly developed cosmological hydrodynamics code based on weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws. WENO is a higher order accurate finite difference scheme designed for problems with…

天体物理学 · 物理学 2009-11-10 Long-Long Feng , Chi-Wang Shu , Meng-Ping Zhang

We describe a newly developed cosmological hydrodynamics code based on the weighted essentially non-oscillatory (WENO) schemes for hyperbolic conservation laws. High order finite difference WENO schemes are designed for problems with…

天体物理学 · 物理学 2007-05-23 Long-Long Feng , Chi-Wang Shu , Meng-Ping Zhang

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…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Orhan Donmez , Refik Kayali

Due to the prevalence of magnetic fields in astrophysical environments, magnetohydrodynamic (MHD) simulation has become a basic tool for studying astrophysical fluid dynamics. To further advance the precision of MHD simulations, we have…

高能天体物理现象 · 物理学 2023-08-09 Jeongbhin Seo , Dongsu Ryu

We have developed a new computer code, RAM, to solve the conservative equations of special relativistic hydrodynamics (SRHD) using adaptive mesh refinement (AMR) on parallel computers. We have implemented a characteristic-wise, finite…

天体物理学 · 物理学 2009-11-11 Weiqun Zhang , Andrew I. MacFadyen

We have proposed a new High Resolution Shock Capturing (HRSC) scheme for Special Relativistic Hydrodynamics (SRHD) based on the semidiscrete central Godunov-type schemes and a modified Weighted Essentially Non-oscillatory (WENO) data…

天体物理学 · 物理学 2007-05-23 Tanvir Rahman , R. B. Moore

Active galactic nuclei, x-ray binaries, pulsars, and gamma-ray bursts are all believed to be powered by compact objects surrounded by relativistic plasma flows driving phenomena such as accretion, winds, and jets. These flows are often…

天体物理学 · 物理学 2009-06-23 Alexander Tchekhovskoy , Jonathan C. McKinney , Ramesh Narayan

In this paper we analyze the weighted essentially non-oscillatory (WENO) schemes in the finite volume framework by examining the first step of the explicit third-order total variation diminishing Runge-Kutta method. The rationale for the…

数值分析 · 数学 2024-03-14 Xinjuan Chen , Jiaxi Gu , Jae-Hun Jung

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…

天体物理学 · 物理学 2009-11-13 Peng Wang , Tom Abel , Weiqun Zhang

We present THC: a new high-order flux-vector-splitting code for Newtonian and special-relativistic hydrodynamics designed for direct numerical simulations of turbulent flows. Our code implements a variety of different reconstruction…

天体物理仪器与方法 · 物理学 2012-10-23 David Radice , Luciano Rezzolla

We study the structures of ultra-relativistic jets injected into the intracluster medium (ICM) and the associated flow dynamics, such as shocks, velocity shear, and turbulence, through three-dimensional relativistic hydrodynamic (RHD)…

高能天体物理现象 · 物理学 2021-11-03 Jeongbhin Seo , Hyesung Kang , Dongsu Ryu

This paper develops the high-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamic equations. The schemes are built on the entropy conservative flux and the weighted…

数值分析 · 数学 2020-03-30 Junming Duan , Huazhong Tang

The paper develops high-order accurate physical-constraints-preserving finite difference WENO schemes for special relativistic hydrodynamical (RHD) equations, built on the local Lax-Friedrich splitting, the WENO reconstruction, the…

数值分析 · 数学 2015-07-06 Kailiang Wu , Huazhong Tang

We describe a new numerical 3D relativistic hydrodynamical code, the results of validation tests, and a comparison with earlier, 2D studies. The 3D code has been used to study the deflection and precession of relativistic flows. We find…

天体物理学 · 物理学 2009-11-07 Philip A. Hughes , Mark A. Miller , G. Comer Duncan

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

天体物理学 · 物理学 2009-11-13 Eunwoo Choi , Dongsu Ryu

In this work we develop a class of high-order finite difference weighted essentially non-oscillatory (FD-WENO) schemes for solving the ideal magnetohydrodynamic (MHD) equations in 2D and 3D. The philosophy of this work is to use efficient…

数值分析 · 数学 2015-06-17 Andrew J. Christlieb , James A. Rossmanith , Qi Tang

We present a new general relativistic (GR) code for hydrodynamic supernova simulations with neutrino transport in spherical and azimuthal symmetry (1D/2D). The code is a combination of the CoCoNuT hydro module, which is a Riemann-solver…

太阳与恒星天体物理 · 物理学 2015-05-18 B. Mueller , H. -Th. Janka , H. Dimmelmeier

The present paper introduces a class of finite volume schemes of increasing order of accuracy in space and time for hyperbolic systems that are in conservation form. This paper specifically focuses on Euler system that is used for modeling…

计算物理 · 物理学 2009-11-13 Dinshaw S. Balsara , Tobias Rumpf , Michael Dumbser , Claus-Dieter Munz

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…

天体物理学 · 物理学 2007-05-23 Tanvir Rahman , R. B. Moore

In this work, we provide a deep investigation of a family of arbitrary high order numerical methods for hyperbolic partial differential equations (PDEs), with particular emphasis on very high order versions, i.e., with order higher than 5.…

数值分析 · 数学 2025-05-09 Lorenzo Micalizzi , Eleuterio F. Toro
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