English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We introduce NRPyElliptic, an elliptic solver for numerical relativity (NR)built within the NRPy+ framework. As its first application, NRPyElliptic setsup conformally flat, binary black hole (BBH) puncture initial data (ID) on asingle numerical domain, similar to the widely used TwoPunctures code. UnlikeTwoPunctures, NRPyElliptic employs a hyperbolic relaxation scheme, wherebyarbitrary elliptic PDEs are trivially transformed into a hyperbolic system ofPDEs. As consumers of NR ID generally already possess expertise in solvinghyperbolic PDEs, they will generally find NRPyElliptic easier to tweak andextend than other NR elliptic solvers. When evolved forward in (pseudo)time,the hyperbolic system exponentially reaches a steady state that solves theelliptic PDEs. Notably NRPyElliptic accelerates the relaxation waves, whichmakes it many orders of magnitude faster than the usual constant-wavespeedapproach. While it is still ${\sim}12$x slower than TwoPunctures at setting upfull-3D BBH ID, NRPyElliptic requires only ${\approx}0.3\%$ of the runtime fora full BBH simulation in the Einstein Toolkit. Future work will focus onimproving performance and generating other types of ID, such as binary neutronstar.

NRPyElliptic: A Fast Hyperbolic Relaxation Elliptic Solver for Numerical Relativity, I: Conformally Flat, Binary Puncture Initial Data