Hyperbolic Self-Gravity Solver for Large Scale Hydrodynamical Simulations

Understand

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.