Evolutions in 3D numerical relativity using fixed mesh refinement

Details Evolutions in 3D numerical relativity using fixed mesh refinement Evolutions in 3D numerical relativity using fixed mesh refinement

2003-10-07

arxiv.org/abs/gr-qc/0310042v3

Class.Quant.Grav.21:1465-1488,2004

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, 15 figures; published version, but with colour figures

Scientific paper

10.1088/0264-9381/21/6/014

We present results of 3D numerical simulations using a finite difference code featuring fixed mesh refinement (FMR), in which a subset of the computational domain is refined in space and time. We apply this code to a series of test cases including a robust stability test, a nonlinear gauge wave and an excised Schwarzschild black hole in an evolving gauge. We find that the mesh refinement results are comparable in accuracy, stability and convergence to unigrid simulations with the same effective resolution. At the same time, the use of FMR reduces the computational resources needed to obtain a given accuracy. Particular care must be taken at the interfaces between coarse and fine grids to avoid a loss of convergence at higher resolutions, and we introduce the use of "buffer zones" as one resolution of this issue. We also introduce a new method for initial data generation, which enables higher-order interpolation in time even from the initial time slice. This FMR system, "Carpet", is a driver module in the freely available Cactus computational infrastructure, and is able to endow generic existing Cactus simulation modules ("thorns") with FMR with little or no extra effort.

Affiliated with

Also associated with

No associations

Rating

Evolutions in 3D numerical relativity using fixed mesh refinement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Evolutions in 3D numerical relativity using fixed mesh refinement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evolutions in 3D numerical relativity using fixed mesh refinement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-320518