The Nonlinear Sigma Model With Distributed Adaptive Mesh Refinement

Details The Nonlinear Sigma Model With Distributed Adaptive Mesh Refinement The Nonlinear Sigma Model With Distributed Adaptive Mesh Refinement

2004-03-16

arxiv.org/abs/gr-qc/0403076v1

Class.Quant.Grav. 21 (2004) 3995

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 5 figures

Scientific paper

An adaptive mesh refinement (AMR) scheme is implemented in a distributed environment using Message Passing Interface (MPI) to find solutions to the nonlinear sigma model. Previous work studied behavior similar to black hole critical phenomena at the threshold for singularity formation in this flat space model. This work is a follow-up describing extensions to distribute the grid hierarchy and presenting tests showing the correctness of the model.

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