Dynamical Spacetimes from Numerical Hydrodynamics
Allan Adams, Nathan Benjamin, Arvin Moghaddam, Wojciech Musial
Dynamical Spacetimes from Numerical Hydrodynamics
Allan Adams, Nathan Benjamin, Arvin Moghaddam, Wojciech Musial
Estimating the Error
Log base 10 error of the 0th (blue), 1st (red) and 2nd (green) order fluid/gravity metrics as measured by the average RMS value of the Einstein equation as a function of time. Left: random-wave initial conditions. Right: weakly-perturbed vorticity stripe initial conditions. Beneath both plots we show the satisfaction of the constituitive relations at the corresponding moment in time. Note that errors in the Einstein equation correlate strongly with errors in the hydro solution as measured by the constituitive relation.
Friday, November 21, 2014