Towards a gauge-polyvalent Numerical Relativity code

Abstract

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 with or without shift). The code is built upon an adjusted first-order flux-conservative version of the Z4 formalism and a recently proposed family of robust finite-difference high-resolution algorithms. An outstanding result is the long-term evolution (up to 1000M) of a Black-Hole in normal coordinates (zero shift) without excision.

to appear in Physical Review D

References in corpus (26)

• Gauge conditions for long-term numerical black hole evolutions without excision
• New Formalism for Numerical Relativity
• Constraint damping in the Z4 formulation and harmonic gauge
• Relativistic Magnetohydrodynamics In Dynamical Spacetimes: Numerical Methods And Tests
• Accurate black hole evolutions by fourth-order numerical relativity
• General-covariant evolution formalism for Numerical Relativity
• WhiskyMHD: a new numerical code for general relativistic magnetohydrodynamics
• Extending the lifetime of 3D black hole computations with a new hyperbolic system of evolution equations
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Magnetohydrodynamics in full general relativity: Formulation and tests
• Toward standard testbeds for numerical relativity
• Relativistic MHD with Adaptive Mesh Refinement
• Strongly hyperbolic second order Einstein's evolution equations
• A symmetry-breaking mechanism for the Z4 general-covariant evolution system
• Optimal Constraint Projection for Hyperbolic Evolution Systems
• Implementation of standard testbeds for numerical relativity
• Advantages of modified ADM formulation: constraint propagation analysis of Baumgarte-Shapiro-Shibata-Nakamura system
• Robust evolution system for Numerical Relativity
• Dynamical shift conditions for the Z4 and BSSN hyperbolic formalisms
• 3D simulations of Einstein's equations: symmetric hyperbolicity, live gauges and dynamic control of the constraints
• Linear high-resolution schemes for hyperbolic conservation laws: TVB numerical evidence
• Maximal Slicing for Puncture Evolutions of Schwarzschild and Reissner-Nordström Black Holes
• Efficient implementation of finite volume methods in Numerical Relativity
• Stuffed Black Holes
• Numerical stability of the AA evolution system compared to the ADM and BSSN systems
• Numerical experiments of adjusted BSSN systems for controlling constraint violations

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• Dynamical ejecta and nucleosynthetic yields from eccentric binary neutron-star mergers
• On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
• Numerical stability of the Z4c formulation of general relativity
• Summation by Parts and Truncation Error Matching on Hyperboloidal Slices
• On numerical methods for hyperbolic PDE with curl involutions
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• Von Neumann Stability Analysis of DG-like and PNPM-like Schemes for PDEs that have Globally Curl-Preserving Evolution of Vector Fields