Hyperbolic Self-Gravity Solver for Large Scale Hydrodynamical Simulations

Abstract

A new computationally efficient method has been introduced to treat self-gravity in mesh based hydrodynamical simulations. It is applied simply by slightly 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 can not 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.

7 pages, 6 figures, accepted for publication in PRD

References in corpus (7)

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Cited by in corpus (9)

• Supernova explosions in active galactic nuclear discs
• A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics
• Comprehensive study of ejecta-companion interaction for core-collapse supernovae in massive binaries
• Simulating the formation of $\eta$ Carinae's surrounding nebula through unstable triple evolution and stellar merger-induced eruption
• Hydrodynamical simulations and similarity relations for eruptive mass loss from massive stars
• Observability of inflated companion stars after supernovae in massive binaries
• The Limited Accuracy of Linearized Gravity
• Formation pathway for lonely stripped-envelope supernova progenitors: implications for Cassiopeia A
• Hyperbolic Relaxation Method for Elliptic Equations