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Damping-Free Momentum-Constraint Propagation for Stable Long-Term Numerical Relativity

Research contribution: two modified conformal-covariant Z4 schemes (CCZ4' and CCZ3) that propagate momentum-constraint violations without damping, curing the accumulated-momentum-constraint 'late-time instability' of BSSN black-hole evolution and enabling much stronger Hamiltonian-constraint damping, giving stable evolution of Schwarzschild and matter-field black-hole spacetimes over ~10^5 M.

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Stable long-term evolution in numerical relativity Sebastian Garcia-Saenza,∗Guangzhou Guoa,† Peng

This general-relativity research paper (gr-qc) tackles a numerical instability that appears in long-time simulations of black holes using the Baumgarte-Shapiro-Shibata-Nakamura (BSSN) formulation of …