The Nonlinear Sigma Model With Distributed Adaptive Mesh Refinement

Abstract

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.

6 pages, 5 figures

References in corpus (5)

• Evolutions in 3D numerical relativity using fixed mesh refinement
• Critical Collapse of the Massless Scalar Field in Axisymmetry
• An Axisymmetric Gravitational Collapse Code
• The Singularity Threshold of the Nonlinear Sigma Model Using 3D Adaptive Mesh Refinement
• Adaptive Mesh Refinement for Characteristic Codes

Cited by in corpus (5)

• Head-on collisions of boson stars
• Lessons for adaptive mesh refinement in numerical relativity
• Adaptive Mesh Refinement for Characteristic Grids
• Threshold of Singularity Formation in the Semilinear Wave Equation
• Maxwell-dilaton dynamics