Singularity Avoidance by an Adaptive Grid in one-dimensional Relativistic Hydrodynamics

Details Singularity Avoidance by an Adaptive Grid in one-dimensional Relativistic Hydrodynamics Singularity Avoidance by an Adaptive Grid in one-dimensional Relativistic Hydrodynamics

Dec 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998tx19.confe.482l&link_type=abstract

Abstracts of the 19th Texas Symposium on Relativistic Astrophysics and Cosmology, held in Paris, France, Dec. 14-18, 1998. Eds.:

Astronomy and Astrophysics

Astrophysics

Scientific paper

An adaptive grid technique that is well known from nonrelativistic implicit hydrodynamics is transfered to general relativistic one-dimensional problems. The interplay between the coordinate choice and the adaptive grid is discussed in principle and with focus on numerical implications, especially on the accuracy of conservation laws. The adaptive grid is not only useful for achieving superior resolution, it can also avoid the occurrence of singularities. This is tested within the comoving orthogonal frame which is best suited for the description of microscopic physics.

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