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Comparison of momentum transport models for numerical relativity

Duez, Matthew D. and Knight, Alexander and Foucart, Francois and Haddadi, Milad and Jesse, Jerred and Hébert, François and Kidder, Lawrence E. and Pfeiffer, Harald P. and Scheel, Mark A. (2020) Comparison of momentum transport models for numerical relativity. Physical Review D, 102 (10). Art. No. 104050. ISSN 2470-0010. doi:10.1103/PhysRevD.102.104050.

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The main problems of nonvacuum numerical relativity, compact binary mergers and stellar collapse, involve hydromagnetic instabilities and turbulent flows, so that kinetic energy at small scales leads to mean effects at large scale that drive the secular evolution. Notable among these effects is momentum transport. We investigate two models of this transport effect, a relativistic Navier-Stokes system and a turbulent mean stress model, that are similar to all of the prescriptions that have been attempted to date for treating subgrid effects on binary neutron star mergers and their aftermath. Our investigation involves both stability analysis and numerical experimentation on star and disk systems. We also begin the investigation of the effects of particle and heat transport on postmerger simulations. We find that correct handling of turbulent heating is crucial for avoiding unphysical instabilities. Given such appropriate handling, the evolution of a differentially rotating star and the accretion rate of a disk are reassuringly insensitive to the choice of prescription. However, disk outflows can be sensitive to the choice of method, even for the same effective viscous strength. We also consider the effects of eddy diffusion in the evolution of an accretion disk and show that it can interestingly affect the composition of outflows.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Duez, Matthew D.0000-0002-0050-1783
Foucart, Francois0000-0003-4617-4738
Haddadi, Milad0000-0001-7548-9099
Jesse, Jerred0000-0001-5266-4536
Kidder, Lawrence E.0000-0001-5392-7342
Pfeiffer, Harald P.0000-0001-9288-519X
Additional Information:© 2020 American Physical Society. Received 13 August 2020; accepted 3 November 2020; published 18 November 2020. We are thankful to David Radice for many discussions on the TMS formalism and advice on its numerical implementation in our code. M. D. gratefully acknowledges support from the NSF through Grant No. PHY-1806207. The UNH authors gratefully acknowledge support from the DOE through Early Career Award No. de-sc0020435, from the NSF through Grant No. PHY-1806278, and from NASA through Grant No. 80NSSC18K0565. J. J. gratefully acknowledges support from the Washington NASA Space Grant Consortium, NASA Grant NNX15AJ98H. L. K. acknowledges support from NSF Grants No. PHY-1606654 and No. PHY-1912081. F. H. and M. S. acknowledge support from NSF Grants No. PHY-1708212 and No. PHY-1708213. F. H., L. K., and M. S. also thank the Sherman Fairchild Foundation for their support.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0020435
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20201118-142640603
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106730
Deposited By: Tony Diaz
Deposited On:18 Nov 2020 22:43
Last Modified:16 Nov 2021 18:56

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