Abstract

Numerical relativity simulations of binary black hole inspiraling and mergers are computationally costly and storage requirements can quickly become unmanageable. By implementing a multi-domain spectral method we are able to more efficiently store metric component data when increased time resolution is desired over increased spatial metric resolution. Within the framework of a binary black hole system, multi-domain spectral methods work well using two different domain sets, one centered on each black hole, so they are able to absorb the singular behavior at each black hole's center. There is no difficulty in transferring quantities from one domain to another, or splitting the source function across two different domains, but there is no a priori choice for the relative weighting function to split a metric component. Here, we investigate what breakdown yields the highest accuracy.

Publication Date

5-12-2017

Document Type

Thesis

Student Type

Graduate

Degree Name

Applied and Computational Mathematics (MS)

Department, Program, or Center

School of Mathematical Sciences (COS)

Advisor

Matthew J. Hoffman

Advisor/Committee Member

Joshua A. Faber

Advisor/Committee Member

Yosef Zlochower

Campus

RIT – Main Campus

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