Numerical comparison of Riemann solvers for astrophysical hydrodynamics
نویسندگان
چکیده
منابع مشابه
Numerical comparison of Riemann solvers for astrophysical hydrodynamics
The idea of this work is to compare a new positive and entropy stable approximate Riemann solver by Francois Bouchut with a state-of the-art algorithm for astrophysical fluid dynamics. We implemented the new Riemann solver into an astrophysical PPM-code, the Prometheus code, and also made a version with a different, more theoretically grounded higher order algorithm than PPM. We present shock t...
متن کاملNumerical Schemes for Hydrodynamics Based on Multi-Dimensional Riemann Solvers
Here, U ≡ (v,ux,uy,e), superscript T stands for transpose, r is mass density, v ≡ 1/ρ, ux and uy are the components of flow velocity, e is the specific total energy, and Fx and Fy are fluxes in the xand ydirections respectively. A 2-D Riemann problem is Eq.(1) with a set of constant states for each region surrounding a point; for example, four constant states in the four quadrants in a structur...
متن کاملGeneral relativistic hydrodynamics with special relativistic Riemann solvers
We present a general and practical procedure to solve the general relativistic hydrodynamic equations by using any of the special relativistic Riemann solvers recently developed for describing the evolution of special relativistic flows. Our proposal relies on a local change of coordinates in terms of which the spacetime metric is locally Minkowskian and permits accurate numerical calculations ...
متن کاملAstrophysical Smooth Particle Hydrodynamics
In this review the basic principles of smooth particle hydrodynamics (SPH) are outlined in a pedagogical fashion. To start, a basic set of SPH equations that is used in many codes throughout the astrophysics community is derived explicitly. Much of SPH’s success relies on its excellent conservation properties and therefore the numerical conservation of physical invariants receives much attentio...
متن کاملHydrodynamics, magnetohydrodynamics, and astrophysical plasmas
1 Introduction It is not uncommon to encounter the assertion that the dynamical evolution of the large-scale bulk velocity v of a collisionless gas is not described by the hydrodynamic (HD) equations. A favorite " reason " is the statement that pressure cannot be defined in the absence of collisions. Then in some quarters it is believed that the large-scale bulk dynamics of a swirling magnetize...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2007
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2007.07.034