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Topic: Relativistic Euler equations


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 Relativistic Euler equations - Wikipedia, the free encyclopedia
In fluid mechanics and astrophysics, the relativistic Euler equations are a generalization of the Euler equations that account for the effects of special relativity.
The equations of motion are contained in the continuity equation of the stress-energy tensor T
The relativistic Euler equations may be applied to calculate the speed of sound in a fluid with a relativistic equation of state (that is, one in which the pressure is comparable with the internal energy density e, including the rest energy; e = ρc
en.wikipedia.org /wiki/Relativistic_Euler_equations   (225 words)

  
 2.2 Covariant approaches   (Site not responding. Last check: 2007-11-07)
The performance of this general relativistic Roe solver was tested in a number of one-dimensional problems for which an exact solution is known, including non-relativistic shock tubes, special relativistic shock tubes and spherical accretion of dust and a perfect fluid onto a (static) Schwarzschild fl hole.
In its special relativistic version it has been used in the study of the confinement properties of relativistic jets [63].
Procedures for integrating various forms of the hydrodynamic equations on null hypersurfaces have been presented before in [103] (see [28] for a recent implementation).
www.maths.tcd.ie /EMIS/journals/LRG/Articles/Volume3/2000-2font/node4.html   (843 words)

  
 Preprint 2002-040   (Site not responding. Last check: 2007-11-07)
Abstract: A kinetic solution for the relativistic Euler equations is presented.
This solution describes the flow of a perfect gas in terms of the particle density, the spatial part of the four-velocity and the inverse temperature.
In this paper we present a general frame work for the kinetic scheme of relativistic Euler equations which covers the whole range from the non-relativistic limit to the ultra-relativistic limit.
www.math.ntnu.no /conservation/2002/040.html   (293 words)

  
 DC MetaData for: Kinetic Schemes for the Ultra-Relativistic Euler Equations   (Site not responding. Last check: 2007-11-07)
DC MetaData for: Kinetic Schemes for the Ultra-Relativistic Euler Equations
relativistic Euler equations, which describe the flow of a perfect
The author(s) agree, that this abstract may be stored as full text and distributed as such by abstracting services.
www.math.uni-magdeburg.de /preprints/shadows/01-21report.html   (152 words)

  
 Euler equations - Wikipedia, the free encyclopedia
They correspond to the Navier-Stokes equations with zero viscosity and heat conduction terms, although they are usually written in the form shown here because this emphasises the fact that they directly represent conservation of mass, momentum, and energy.
Note the odd form for the energy equation; see Rankine-Hugoniot equation.
This page was last modified 21:10, 28 November 2006.
en.wikipedia.org /wiki/Euler_equations   (410 words)

  
 DC MetaData for: Second Order Accurate Kinetic Schemes for the Ultra-Relativistic Euler Equations   (Site not responding. Last check: 2007-11-07)
numerical solution of the relativistic Euler equations is presented.
are the moments of the relativistic Boltzmann equation of the kinetic theory of
Keywords: Relativistic Euler equations, kinetic schemes, second order accuracy, conservation laws, hyperbolic systems, entropy conditions, positivity, L1-stability, discontinuous solutions.
www.math.uni-magdeburg.de /preprints/shadows/03-18report.html   (276 words)

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