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 it is possible to modify this method in a way that conserves both angular and linear momenta.

13 pages, 1 figure, accepted for publication by AAS Journals, unnecessary boldface removed

References in corpus (15)

• The cosmological simulation code GADGET-2
• Athena: A New Code for Astrophysical MHD
• The Hawaii Infrared Parallax Program. I. Ultracool Binaries and the L/T Transition
• Mass Transfer between Double White Dwarfs
• CASTRO: A New Compressible Astrophysical Solver. I. Hydrodynamics and Self-Gravity
• A Hierarchical O(N) Force Calculation Algorithm
• A Very Fast and Momentum-Conserving Tree Code
• Prelude to a double degenerate merger: the onset of mass transfer and its impact on gravitational waves and surface detonations
• N-body simulations of gravitational dynamics
• TreePM: A code for Cosmological N-Body Simulations
• Numerical Simulations of the Onset and Stability of Dynamical Mass Transfer in Binaries
• Smoothed Particle Hydrodynamics simulations of white dwarf collisions and close encounters
• Numerical Methods for the Simulation of Dynamical Mass Transfer in Binaries
• Hierarchical N-body simulations with auto-tuning for heterogeneous systems
• Massive Double White Dwarfs and the AM CVn Birthrate

Cited by in corpus (9)

• From Piz Daint to the Stars: Simulation of Stellar Mergers using High-Level Abstractions
• Stellar Mergers with HPX-Kokkos and SYCL: Methods of using an Asynchronous Many-Task Runtime System with SYCL
• From Merging Frameworks to Merging Stars: Experiences using HPX, Kokkos and SIMD Types
• Numerical Simulations of Mass Transfer in Binaries with Bipolytropic Components
• From Task-Based GPU Work Aggregation to Stellar Mergers: Turning Fine-Grained CPU Tasks into Portable GPU Kernels
• FleCSPH: The Next Generation FleCSIble Parallel Computational Infrastructure for Smoothed Particle Hydrodynamics
• Halted-Pendulum Relaxation: Application to White Dwarf Binary Initial Data
• Octo-Tiger's New Hydro Module and Performance Using HPX+CUDA on ORNL's Summit
• Conservation of Angular Momentum in the Fast Multipole Method