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Evolving relativistic fluid spacetimes using pseudospectral methods and finite differencing

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arxiv gr-qc/0702126 v1 pith:P3MNUYHM submitted 2007-02-25 gr-qc

classification gr-qc
keywords codedifferencingequationsfinitefluidsgridmethodspseudospectral
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We present a new code for solving the coupled Einstein-hydrodynamics equations to evolve relativistic, self-gravitating fluids. The Einstein field equations are solved on one grid using pseudospectral methods, while the fluids are evolved on another grid by finite differencing. We discuss implementation details, such as the communication between the grids and the treatment of stellar surfaces, and present code tests.

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  1. High-accuracy drivers to simulate black hole binaries beyond general relativity with the fixing-the-equations approach

    gr-qc 2026-07 conditional novelty 6.0 of 10

    Comoving tensor-aware driver equations in SpECTRE yield ~40-cycle sGB binary waveforms with O(1) rad phase error and eccentricity ≲10^{-3}, free of spurious spin growth.

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