Relativistic flows on a spacetime lattice

Details Relativistic flows on a spacetime lattice Relativistic flows on a spacetime lattice

1997-12-10

arxiv.org/abs/physics/9712018v1

Physics

Fluid Dynamics

33 pages, plus 10 figures. For a PostScript file of the manuscript, you can also goto http://p2hp2.lanl.gov/people/schlei/epri

Scientific paper

The relativistic extension of non-relativistic hydrodynamics suffers from notorious difficulties. In non-relativistic hydrodynamics where difficulties also abound, it has proved a useful supplement to study lattice models which can imitate viscous fluid flow. In this paper we construct a relativistic spacetime lattice and construct a dynamics of points, thus a relativistic cellular automaton over it, to model relativistic fluid flow. A simple example is also explicitly studied, and some numerical results with figures are shown in the last section.

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