Closing Volume

Spectral methods in general relativistic astrophysics

“…The initial conditions describe unstable-equilibrium neutron star configuration. In the case of shock formation, we have coupled our Poisson code to a Godunov-type solver for the hydro given by Valencia's group [40], [31], [43]. We found that these kind of sources are not likely to be observed by future laser interferometric gravitational wave detectors (such as VIRGO or LIGO) if they are located at more than a few 100 kpc.…”

“…Other numerical methods (especially those based on Riemann solvers technique [40]) have been developed in order to handle shocks. Successful results were obtained in modelizing relativistic jets (see [31] and literature quoted there). In the case of relativistic problems where systems of elliptical coupled to hyperbolic PDEs must be solved, an interesting strategy consists in using SM for the elliptical equations and Riemann solver technique for the hyperbolic equations where discontinuities may occur.…”