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Title: A Very Fast and Angular Momentum Conserving Tree Code

Abstract

There are many methods used to compute the classical gravitational field in astrophysical simulation codes. With the exception of the typically impractical method of direct computation, none ensure conservation of angular momentum to machine precision. Under uniform time-stepping, the Cartesian fast multipole method of Dehnen (also known as the very fast tree code) conserves linear momentum to machine precision. We show that it is possible to modify this method in a way that conserves both angular and linear momenta.

Authors:
 [1]
  1. Department of Physics and Astronomy, and Center for Computation and Technology Louisiana State University, Baton Rouge, LA 70803 (United States)
Publication Date:
OSTI Identifier:
22663268
Resource Type:
Journal Article
Resource Relation:
Journal Name: Astronomical Journal (Online); Journal Volume: 154; Journal Issue: 3; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; ACCURACY; ANGULAR MOMENTUM; ASTROPHYSICS; CALCULATION METHODS; COMPUTERIZED SIMULATION; GALAXIES; GRAVITATIONAL FIELDS; LINEAR MOMENTUM; MULTIPOLES

Citation Formats

Marcello, Dominic C., E-mail: dmarce504@gmail.com. A Very Fast and Angular Momentum Conserving Tree Code. United States: N. p., 2017. Web. doi:10.3847/1538-3881/AA7B2F.
Marcello, Dominic C., E-mail: dmarce504@gmail.com. A Very Fast and Angular Momentum Conserving Tree Code. United States. doi:10.3847/1538-3881/AA7B2F.
Marcello, Dominic C., E-mail: dmarce504@gmail.com. Fri . "A Very Fast and Angular Momentum Conserving Tree Code". United States. doi:10.3847/1538-3881/AA7B2F.
@article{osti_22663268,
title = {A Very Fast and Angular Momentum Conserving Tree Code},
author = {Marcello, Dominic C., E-mail: dmarce504@gmail.com},
abstractNote = {There are many methods used to compute the classical gravitational field in astrophysical simulation codes. With the exception of the typically impractical method of direct computation, none ensure conservation of angular momentum to machine precision. Under uniform time-stepping, the Cartesian fast multipole method of Dehnen (also known as the very fast tree code) conserves linear momentum to machine precision. We show that it is possible to modify this method in a way that conserves both angular and linear momenta.},
doi = {10.3847/1538-3881/AA7B2F},
journal = {Astronomical Journal (Online)},
number = 3,
volume = 154,
place = {United States},
year = {Fri Sep 01 00:00:00 EDT 2017},
month = {Fri Sep 01 00:00:00 EDT 2017}
}