WhiskyMHD: A new numerical code for general relativistic magnetohydrodynamics The accurate modelling of astrophysical scenarios involving compact objects and magnetic fields, such as the collapse of rotating magnetized stars to black holes or the phenomenology of γ-ray bursts, requires the solution of the Einstein equations together with those of general-relativistic magnetohydrodynamics. We present a new numerical code developed to solve the full set of general-relativistic magnetohydrodynamics equations in a dynamical and arbitrary spacetime with high-resolution shock-capturing techniques on domains with adaptive mesh refinements. After a discussion of the equations solved and of the techniques employed, we present a series of testbeds carried out to validate the code and assess its accuracy. Such tests range from the solution of relativistic Riemann problems in flat spacetime, over to the stationary accretion onto a Schwarzschild black hole and up to the evolution of oscillating magnetized stars in equilibrium and constructed as consistent solutions of the coupled Einstein-Maxwell equations.

References in zbMATH (referenced in 16 articles , 1 standard article )

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  1. Cipolletta, F.; Kalinani, J. V.; Giangrandi, E.; Giacomazzo, B.; Ciolfi, R.; Sala, L.; Giudici, B.: Spritz: general relativistic magnetohydrodynamics with neutrinos (2021)
  2. Gaburro, Elena; Castro, Manuel J.; Dumbser, Michael: A well balanced finite volume scheme for general relativity (2021)
  3. Cipolletta, F.; Kalinani, J. V.; Giacomazzo, B.; Ciolfi, R.: Spritz: a new fully general-relativistic magnetohydrodynamic code (2020)
  4. Paschalidis, Vasileios: General relativistic simulations of compact binary mergers as engines for short gamma-ray bursts (2017)
  5. Pimentel, Oscar M.; Lora-Clavijo, F. D.; González, Guillermo A.: Ideal magnetohydrodynamics with radiative terms: energy conditions (2017)
  6. Balsara, Dinshaw S.; Kim, Jinho: A subluminal relativistic magnetohydrodynamics scheme with ADER-WENO predictor and multidimensional Riemann solver-based corrector (2016)
  7. Etienne, Zachariah B.; Paschalidis, Vasileios; Haas, Roland; Mösta, Philipp; Shapiro, Stuart L.: IllinoisGRMHD: an open-source, user-friendly GRMHD code for dynamical spacetimes (2015)
  8. Keppens, R.; Meliani, Z.; Van Marle, A. J.; Delmont, P.; Vlasis, A.; van der Holst, B.: Parallel, grid-adaptive approaches for relativistic hydro- and magnetohydrodynamics (2012)
  9. Pfeiffer, Harald P.: Numerical simulations of compact object binaries (2012)
  10. Duez, Matthew D.: Numerical relativity confronts compact neutron star binaries: a review and status report (2010)
  11. Kellerman, Thorsten; Rezzolla, Luciano; Radice, David: Critical phenomena in neutron stars. II: Head-on collisions (2010)
  12. Cécere, Mariana; Lehner, Luis; Reula, Oscar: Constraint preserving boundary conditions for the ideal Newtonian MHD equations (2008)
  13. Cerdá-Durán, P.; Font, J. A.; Antón, L.; Müller, E.: A new general relativistic magnetohydrodynamics code for dynamical spacetimes (2008)
  14. Font, José A.: Numerical hydrodynamics and magnetohydrodynamics in general relativity (2008)
  15. Van Der Holst, B.; Keppens, R.; Meliani, Z.: A multidimensional grid-adaptive relativistic magnetofluid code (2008)
  16. Giacomazzo, Bruno; Rezzolla, Luciano: WhiskyMHD: A new numerical code for general relativistic magnetohydrodynamics (2007)

Further publications can be found at: http://www.brunogiacomazzo.org/brunogiacomazzop.html