COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > On numerical conservation of the Poincaré-Cartan integral invariant in relativistic fluid dynamics

## On numerical conservation of the Poincaré-Cartan integral invariant in relativistic fluid dynamicsAdd to your list(s) Download to your calendar using vCal - Charalampos Markakis (University of Cambridge; Queen Mary University of London; University of Illinois at Urbana-Champaign)
- Friday 04 October 2019, 13:30-14:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. GCSW02 - Structure preservation and general relativity The motion of strongly gravitating fluid bodies is described by the Euler-Einstein system of partial differential equations. We report progress on formulating well-posed, acoustical and canonical hydrodynamic schemes, suitable for binary inspiral simulations and gravitational-wave source modelling. The schemes use a variational principle by Carter-Lichnerowicz stating that barotropic fluid motions are conformally geodesic, a corollary to Kelvin's theorem stating that initially irrotational flows remain irrotational, and Christodoulou's acoustic metric approach adopted to numerical relativity, in order to evolve the canonical momentum of a fluid element via Hamilton or Hamilton-Jacobi equations. These mathematical theorems leave their imprints on inspiral waveforms from binary neutron stars observed by the LIGO -Virgo detectors. We describe a constraint damping scheme for preserving circulation in numerical general relativity, in accordance with Helmholtz's third theorem. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsGraduate Workshops in Economic and Social History CCIMI Seminars Physics of Living Matter Part III course (PLM)## Other talksThe Flux Capacitor: How mitochondria shape the evolution of complexity Numerical Relativity in the Era of Gravitational Wave Observations Drivers of seabird movements and their fitness consequences LARMOR LECTURE - Design of Tissue Engineering Scaffolds - Still Learning our ABC? On Nucleic Acid Feedback Controllers Prevention of mental illness in the adolescent years |