Adaptive hp refinement for spectral elements in numerical relativity

S Renkhoff, D Cors, D Hilditch, B Brügmann - Physical Review D, 2023 - APS
When a numerical simulation has to handle a physics problem with a wide range of time-
dependent length scales, dynamically adaptive discretizations can be the method of choice …

Evolution of Brill waves with an adaptive pseudospectral method

IS Fernández, S Renkhoff, DC Agulló, B Brügmann… - Physical Review D, 2022 - APS
As a first application of the new adaptive mesh functionality of the pseudospectral numerical
relativity code bamps, we evolve twist-free, axisymmetric gravitational waves close to the …

3D evolution of a semilinear wave model for the Einstein field equations on compactified hyperboloidal slices

C Peterson, S Gautam, I Rainho, A Vañó-Viñuales… - Physical Review D, 2023 - APS
The good-bad-ugly-F model is a system of semilinear wave equations that mimics the
asymptotic form of the Einstein field equations in generalized harmonic gauge with specific …

Critical phenomena in the collapse of quadrupolar and hexadecapolar gravitational waves

TW Baumgarte, C Gundlach, D Hilditch - Physical Review D, 2023 - APS
We report on numerical simulations of critical phenomena near the threshold of black-hole
formation in the collapse of axisymmetric gravitational waves in vacuum. We discuss several …

Universality of curvature invariants in critical vacuum gravitational collapse

T Ledvinka, A Khirnov - Physical Review Letters, 2021 - APS
We report on a numerical study of gravitational waves undergoing gravitational collapse due
to their self-interaction. We consider several families of asymptotically flat initial data which …

Twist-free axisymmetric critical collapse of a complex scalar field

K Marouda, D Cors, HR Rüter, F Atteneder, D Hilditch - Physical Review D, 2024 - APS
It has been three decades since the ground-breaking work by Choptuik on critical
phenomena in gravitational collapse involving a real massless scalar field minimally …

Simulating binary black hole mergers using discontinuous Galerkin methods

G Lovelace, KC Nelli, N Deppe, NL Vu… - arXiv preprint arXiv …, 2024 - arxiv.org
Binary black holes are the most abundant source of gravitational-wave observations.
Gravitational-wave observatories in the next decade will require tremendous increases in …

Critical phenomena in the gravitational collapse of electromagnetic dipole and quadrupole waves

MF Perez Mendoza, TW Baumgarte - Physical Review D, 2021 - APS
We report on critical phenomena in the gravitational collapse of electromagnetic waves.
Generalizing earlier results that focused on dipole electromagnetic waves, we compare here …

Comparison of linear Brill and Teukolsky waves

I Suárez Fernández, TW Baumgarte, D Hilditch - Physical Review D, 2021 - APS
Motivated by studies of critical phenomena in the gravitational collapse of vacuum
gravitational waves we compare, at the linear level, two common approaches to constructing …

3D Evolution of a Good-Bad-Ugly-F Model on Compactified Hyperboloidal Slices

C Peterson, S Gautam, I Rainho… - arXiv preprint arXiv …, 2023 - arxiv.org
The Good-Bad-Ugly-F model is a system of semi-linear wave equations that mimics the
asymptotic form of the Einstein field equations in generalized harmonic gauge with specific …