Open AccessJournal Article
The consistent multi-fluid advection method
Tomasz Plewa,Ewald Müller +1 more
TLDR
In this article, simple modifications for higher-order Godunov type difference schemes are presented which allow for accu- rate advection of multi-fluid flows in hydrodynamic simulations.Abstract:
Simple modifications for higher-order Godunov- type difference schemes are presented which allow for accu- rate advection of multi-fluid flows in hydrodynamic simulations. The constraint that the sum of all mass fractions has to be equal to one in every computational zone throughout the simulation is fulfilled by renormalizing the mass fractions during the ad- vection step. The proposed modification is appropriate for any difference scheme written in conservation form. Unlike other commonly used methods it does not violate the conservative character of the advection method. A new steepening mecha- nism, which is based on modification of interpolation profiles, is used to reduce numerical diffusion across composition discon- tinuities. Additional procedures are described, which are nec- essary to enforce monotonicity. Several numerical experiments are presented which demonstrate the capability of our Consis- tent Multi-fluid Advection (CMA) method in case of smooth and discontinuous distributions of fluid phases and under different hydrodynamic conditions. It is shown that due to the reduced diffusivity of the proposed scheme the abundance of some heavy elements obtained from hydrodynamic simulations of type II su- pernova explosions can change by a factor of a few in the most extreme cases.read more
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Numerical Hydrodynamics in Special Relativity
José María Martí,Ewald Müller +1 more
TL;DR: This review is concerned with a discussion of numerical methods for the solution of the equations of special relativistic hydrodynamics (SRHD), and particular emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods in SRHD.
Journal ArticleDOI
Computational methods for nucleosynthesis and nuclear energy generation
TL;DR: In this paper, a review on the two principle methods used to evolve nuclear abundances within astrophysical simulations, evolution via rate equations and via equilibria, is presented, focusing on efficient solution of these matrix equations, by making best use of the sparseness of these matrices.
Journal ArticleDOI
Global comparison of core-collapse supernova simulations in spherical symmetry
Evan O'Connor,Evan O'Connor,Robert Bollig,Robert Bollig,Adam Burrows,Sean M. Couch,Tobias Fischer,Hans-Thomas Janka,Kei Kotake,Eric J. Lentz,Eric J. Lentz,Matthias Liebendörfer,O. E. Bronson Messer,O. E. Bronson Messer,Anthony Mezzacappa,Anthony Mezzacappa,Tomoya Takiwaki,David Vartanyan +17 more
TL;DR: In this article, a comparison between several simulation codes designed to study the core-collapse supernova mechanism is presented, paying close attention to controlling the initial conditions and input physics.
Journal ArticleDOI
Introduction to FLASH 3.0, with application to supersonic turbulence
TL;DR: This tutorial paper gives an overview of the FLASH code architecture and capabilities and includes an example of a customized application adapted from the sample applications provided with the code distribution.
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Thermonuclear kinetics in astrophysics
TL;DR: In this paper, a review summarizes the methods used to evolve these nuclear abundances within astrophysical simulations, including rate equations and local equilibria, and a hybrid scheme to reduce the computational cost of the rate equations.
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