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Hyperbolic self-gravity solver for large scale hydrodynamical simulations

Hirai, Ryosuke and Nagakura, Hiroki and Okawa, Hirotada and Fujisawa, Kotaro (2016) Hyperbolic self-gravity solver for large scale hydrodynamical simulations. Physical Review D, 93 (8). Art. No. 083006. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20160429-143720058

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Abstract

A new computationally efficient method has been introduced to treat self-gravity in Eulerian hydrodynamical simulations. It is applied simply by modifying the Poisson equation into an inhomogeneous wave equation. This roughly corresponds to the weak field limit of the Einstein equations in general relativity, and as long as the gravitation propagation speed is taken to be larger than the hydrodynamical characteristic speed, the results agree with solutions for the Poisson equation. The solutions almost perfectly agree if the domain is taken large enough, or appropriate boundary conditions are given. Our new method cannot only significantly reduce the computational time compared with existent methods, but is also fully compatible with massive parallel computation, nested grids, and adaptive mesh refinement techniques, all of which can accelerate the progress in computational astrophysics and cosmology.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevD.93.083006DOIArticle
http://journals.aps.org/prd/abstract/10.1103/PhysRevD.93.083006PublisherArticle
http://arxiv.org/abs/1602.05700arXivDiscussion Paper
ORCID:
AuthorORCID
Nagakura, Hiroki0000-0002-7205-6367
Additional Information:© 2016 American Physical Society. Received 6 February 2016; published 12 April 2016. This work was supported by the Grants-in-Aid for the Scientific Research from the Ministry of Education, Culture, Sports, Science, and Technology (MEXT) of Japan (No. 24103006, No. 24740165, and No. 24244036), the HPCI Strategic Program of MEXT, MEXT Grant-in-Aid for Scientific Research on Innovative Areas “New Developments in Astrophysics Through Multi-Messenger Observations of Gravitational Wave Sources” (Grant Number A05 24103006), and the Research Grant for Young Scientists, Early Bird Program from Waseda Research Institute for Science and Engineering. H. N. was supported in part by JSPS Postdoctoral Fellowships for Research Abroad No. 27-348.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funders:
Funding AgencyGrant Number
Ministry of Education, Culture, Sports, Science and Technology (MEXT)24103006
Ministry of Education, Culture, Sports, Science and Technology (MEXT)24740165
Ministry of Education, Culture, Sports, Science and Technology (MEXT)24244036
Ministry of Education, Culture, Sports, Science and Technology (MEXT)A05 24103006
Waseda Research Institute for Science and EngineeringUNSPECIFIED
Japan Society for the Promotion of Science (JSPS)27-348
Issue or Number:8
Record Number:CaltechAUTHORS:20160429-143720058
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160429-143720058
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66558
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Apr 2016 18:02
Last Modified:03 Oct 2019 09:57

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