Finite Element Analysis for General Relativistic Flow Environments

Statistics – Computation

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Scientific paper

We present our finite element methodology for numerically solving the governing equations for general relativistic environments. Our motivation for the development of such a method is to study the environment around a rotating black hole, specifically the dynamics of the accretion disk and the associated formation of relativistic jets. The numerical technique we have developed is versatile enough to perform simulations ranging from relativistic shock capturing in magnetohydrodynamics to Poisson solvers for mapping fields. This numerical technique is unique in its ability to detect small variations in the physical parameters related to the flow-field or the magnetic field. Since this information is obtained during the computations, it can be used for adaptive mesh refinement, necessary variations in the PDE solver, the detection of numerical instabilities and potentially for the detection of turbulence. This direct link between the variations in the physical parameters and the numerical parameters helps to increase the accuracy and the stability of the system. While we have developed this method for use in finite element analysis, it is also possible to adapt it for use with finite difference methods. We will present the methodology behind our numerical technique and some applications.
The National Research Council research associateship program supported this work.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Finite Element Analysis for General Relativistic Flow Environments 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 Finite Element Analysis for General Relativistic Flow Environments, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Finite Element Analysis for General Relativistic Flow Environments will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-999676

All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.