dc.contributor.author | Westernacher-Schneider, JR | |
dc.contributor.author | Markakis, C | |
dc.contributor.author | Tsao, BJ | |
dc.date.accessioned | 2021-04-12T09:35:25Z | |
dc.date.available | 2021-04-12T09:35:25Z | |
dc.date.issued | 2020-08-06 | |
dc.identifier.citation | Westernacher-Schneider, John Ryan et al. "Hamilton–Jacobi Hydrodynamics Of Pulsating Relativistic Stars". Classical And Quantum Gravity, vol 37, no. 15, 2020, p. 155005. IOP Publishing, doi:10.1088/1361-6382/ab93e9. Accessed 12 Apr 2021. | en_US |
dc.identifier.issn | 0264-9381 | |
dc.identifier.other | ARTN 155005 | |
dc.identifier.uri | https://qmro.qmul.ac.uk/xmlui/handle/123456789/71172 | |
dc.description.abstract | The dynamics of self-gravitating fluid bodies is described by the Euler–Einstein system of partial differential equations. The break-down of well-posedness on the fluid–vacuum interface remains a challenging open problem, which is manifested in simulations of oscillating or inspiraling binary neutron-stars. We formulate and implement a well-posed canonical hydrodynamic scheme, suitable for neutron-star simulations in numerical general relativity. The scheme uses a variational principle by Carter–Lichnerowicz stating that barotropic fluid motions are conformally geodesic and Helmholtz's third theorem stating that initially irrotational flows remain irrotational. We apply this scheme in 3 + 1 numerical general relativity to evolve the canonical momentum of a fluid element via the Hamilton–Jacobi equation. We explore a regularization scheme for the Euler equations, that uses a fiducial atmosphere in hydrostatic equilibrium and allows the pressure to vanish, while preserving strong hyperbolicity on the vacuum boundary. The new regularization scheme resolves a larger number of radial oscillation modes compared to standard, non-equilibrium atmosphere treatments. | en_US |
dc.publisher | IOP Publishing | en_US |
dc.relation.ispartof | CLASSICAL AND QUANTUM GRAVITY | |
dc.subject | numerical relativity | en_US |
dc.subject | hydrodynamics | en_US |
dc.subject | Hamilton-Jacobi formulation | en_US |
dc.title | Hamilton-Jacobi hydrodynamics of pulsating relativistic stars | en_US |
dc.type | Article | en_US |
dc.rights.holder | © 2020 IOP Publishing Ltd | |
dc.identifier.doi | 10.1088/1361-6382/ab93e9 | |
pubs.author-url | http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000552027000001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=612ae0d773dcbdba3046f6df545e9f6a | en_US |
pubs.issue | 15 | en_US |
pubs.notes | Not known | en_US |
pubs.publication-status | Published | en_US |
pubs.volume | 37 | en_US |
rioxxterms.funder | Default funder | en_US |
rioxxterms.identifier.project | Default project | en_US |