288 citations · 507 across the 10 of their papers we have counts for
6 papers · 1 filter
Conformal and covariant formulation of the Z4 system with constraint-violation damping
Daniela Alic, Carles Bona-Casas, Carles Bona +2
We present a new formulation of the Einstein equations based on a conformal and traceless decomposition of the covariant form of the Z4 system. This formulation combines the advant…
Gowdy waves as a test-bed for constraint-preserving boundary conditions
C. Bona, C. Bona-Casas
Gowdy waves, one of the standard 'apples with apples' tests, is proposed as a test-bed for constraint-preserving boundary conditions in the non-linear regime. As an illustration, e…
Towards a gauge-polyvalent Numerical Relativity code
Daniela Alic, Carles Bona, Carles Bona-Casas
The gauge polyvalence of a new numerical code is tested, both in harmonic-coordinate simulations (gauge-waves testbed) and in singularity-avoiding coordinates (simple Black-Hole si…
Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence
C. Bona, C. Bona-Casas, J. Terradas
The Osher-Chakrabarthy family of linear flux-modification schemes is considered. Improved lower bounds on the compression factors are provided, which suggest the viability of using…
A new dissipation term for finite-difference simulations in Relativity
Daniela Alic, Carles Bona, Carles Bona-Casas
We present a new numerical dissipation algorithm, which can be efficiently used in combination with centered finite-difference methods. We start from a formulation of centered fini…
Efficient implementation of finite volume methods in Numerical Relativity
Daniela Alic, Carles Bona, Carles Bona-Casas +1
Centered finite volume methods are considered in the context of Numerical Relativity. A specific formulation is presented, in which third-order space accuracy is reached by using a…