A numerical method that excises the outer computational boundary along the ingoing light cone makes boundary conditions unnecessary, at the cost of limiting evolution to about one light-crossing time of the initial grid.
A No-Boundary Method for Numerical Relativity
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abstract
We propose a method for numerical relativity in which the spatial grid is finite and no outer boundary condition is needed. As a "proof of concept" we implement this method for the case of a self-gravitating, spherically symmetric scalar field.
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gr-qc 1years
2019 1verdicts
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Excision and avoiding the use of boundary conditions in numerical relativity
A numerical method that excises the outer computational boundary along the ingoing light cone makes boundary conditions unnecessary, at the cost of limiting evolution to about one light-crossing time of the initial grid.