Towards a gauge-polyvalent Numerical Relativity code (2008)
Alic, Daniela, Bona, Carles, Bona-Casas, Carles
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 simulations, either...
A new dissipation term for finite-difference simulations in Relativity (2007)
Alic, Daniela, Bona, Carles, Bona-Casas, Carles
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 finite-volume methods...
Efficient implementation of finite volume methods in Numerical Relativity (2007)
Alic, Daniela, Bona, Carles, Bona-Casas, Carles, Massó, Joan
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 piecewise-linear...
Bona, Carles, Lehner, Luis, Palenzuela-Luque, Carlos
We study the implications of adopting hyperbolic driver coordinate conditions motivated by geometrical considerations. In particular, conditions that minimize the rate of change of the metric...
Towards standard testbeds for numerical relativity (2004)
Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzmán, F. Siddhartha, ...
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...
Toward standard testbeds for numerical relativity (2004)
Alcubierre,Miguel, Allen,Gabrielle, Bona,Carles, Fiske,David, Goodale,Tom, Guzman,F. Siddhartha, ...
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...
Toward standard testbeds for numerical relativity (2004)
Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David R., Goodale, Tom, Guzman, F. Siddhartha, ...
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...
Toward standard testbeds for numerical relativity (2003)
Alcubierre, Miguel, Allen, Gabrielle, Bona, Carles, Fiske, David, Goodale, Tom, Guzman, F. Siddharta, ...
In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community...
Three Dimensional Numerical Relativity with a Hyperbolic Formulation (1998)
Bona, Carles, Masso, Joan, Seidel, Edward, Walker, Paul
We discuss a successful three-dimensional cartesian implementation of the Bona-Mass\'o hyperbolic formulation of the 3+1 Einstein evolution equations in numerical relativity. The numerical code,...
Gauge pathologies in hyperbolic relativity. (1998)
Bona, Carles, Carot, J., Mas, L., Stela, J., Alcubierre, Miguel
On space-times admitting shear-free, irrotational, geodesic null congruences. (1998)
Bona, Carles, Carot, J., Mas, L., Stela, J., Sintes, A. M., Coley, Alan A., ...
Arbona, A., Bona, Carles, Carot, J., Mas, L., Masso, Joan, Stela, J.
Initial data corresponding to spacetimes containing black holes are considered in the time symmetric case. The solutions are obtained by matching across the apparent horizon different, conformally...
First order hyperbolic formalism for Numerical Relativity (1997)
Bona, Carles, Masso, Joan, Seidel, Ed, Stela, Joan
The causal structure of Einstein's evolution equations is considered. We show that in general they can be written as a first order system of balance laws for any choice of slicing or shift. We also...
First order hyperbolic formalism for numerical relativity (1997)
Bona, Carles, Masso, Joan, Seidel, E., Stela, J.
The causal structure of Einstein's evolution equations is considered. We show that in general they can be written as a first-order system of balance laws for any choice of slicing or shift. We also...
Numerical Black Holes: A Moving Grid Approach (1994)
Bona, Carles, Masso, Joan, Stela, Joan
Spherically symmetric (1D) black-hole spacetimes are considered as a test for numerical relativity. A finite difference code, based in the hyperbolic structure of Einstein's equations with the...
New Formalism for Numerical Relativity (1994)
Bona, Carles, Masso, Joan, Seidel, Edward, Stela, Joan
We present a new formulation of the Einstein equations that casts them in an explicitly first order, flux-conservative, hyperbolic form. We show that this now can be done for a wide class of time...
Invariant Algebraic Slicing of the Spacetime (1994)
Bona, Carles, Stela, Joan, Masso, Joan, Seidel, Edward
Using the momentum constraint, the standard evolution system is written in a fully first order form. The class of first order invariant algebraic slicing conditions is considered. The full set of...