A framework for large-scale relativistic simulations in the characteristic approach
| dc.creator | Gómez, Roberto | |
| dc.creator | Barreto, Willians | |
| dc.creator | Frittelli, Simonetta | |
| dc.date | 2007-11-05 | |
| dc.date.accessioned | 2026-07-07T11:12:54Z | |
| dc.date.available | 2026-07-07T11:12:54Z | |
| dc.description | We present a new computational framework (LEO), that enables us to carry out the very first large-scale, high-resolution computations in the context of the characteristic approach in numerical relativity. At the analytic level, our approach is based on a new implementation of the ``eth'' formalism, using a non-standard representation of the spin-raising and lowering angular operators in terms of non-conformal coordinates on the sphere; we couple this formalism to a partially first-order reduction (in the angular variables) of the Einstein equations. The numerical implementation of our approach supplies the basic building blocks for a highly parallel, easily extensible numerical code. We demonstrate the adaptability and excellent scaling of our numerical code by solving, within our numerical framework, for a scalar field minimally coupled to gravity (the Einstein-Klein-Gordon problem) in 3-dimensions. The nonlinear code is globally second-order convergent, and has been extensively tested using as reference a calibrated code with the same boundary-initial data and radial marching algorithm. In this context, we show how accurately we can follow quasi-normal mode ringing. In the linear regime, we show energy conservation for a number of initial data sets with varying angular structure. A striking result that arises in this context is the saturation of the flow of energy through the Schwarzschild radius. As a final calibration check we perform a large simulation with resolution never achieved before. | |
| dc.description | RevTeX4, 22 pages, 21 figures, to appear in Phys. Rev. D | |
| dc.identifier | https://arxiv.org/abs/0711.0564 | |
| dc.identifier | http://arxiv.org/abs/0711.0564 | |
| dc.identifier | Phys.Rev.D76:124029,2007 | |
| dc.identifier | doi:10.1103/PhysRevD.76.124029 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/191536 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | A framework for large-scale relativistic simulations in the characteristic approach | |
| dc.type | text |