Table 1.

State-of-the-art GRHD multidimensional numerical codes for test-fluid evolutions.

Code name or authors	Main features
	Riemann Solver HRSC
EM95 [117]	2D. Conservative formulation. Linearized Riemann solver based on Roe averaging. Second-order accurate.
ToniK [138]	2D. Conservative formulation. Roe-like, HLLE, and Marquina solvers. Minmod, ENO and PPM cell-reconstruction procedures.
genesis [9, 7]	3D. Conservative formulation. Roe-like, HLLE, and Marquina solvers. PPM cell-reconstruction procedures.
pizaa [188]	3D. Conservative formulation. Modified HRSC scheme optimized for quasistationary neutron-star spacetimes.
	Symmetric HRSC
cosmos [19]	3D. Conservative energy formulation. MUSCL-type piecewise linear cell-reconstruction. Second-order accuracy.
wham [396]	3D. Conservative total energy formulation well suited for high Mach number flows. Fifth-order weighted ENO scheme for cell-reconstruction. Runge-Kutta time stepping.
	Artificial Viscosity
HSW84 [170, 171]; CW [73]	2D. Nonconservative formulation. Second-order accurate.
cosmos [19]	3D. Internal energy formulation. Both staggered and nonstaggered AV methods. Dimensional splitting. Second-order spatial finite differencing. Single-step time integration.
	SPH
LMZ93 [212]	SPH. Specific internal energy equation. AV extra terms in Euler and energy equations. Second-order time stepping with Runge-Kutta scheme.
SR00 [381]	SPH. Conservative formulation. Consistent AV formulation.