4 papers
Conservation of Angular Momentum in the Fast Multipole Method
Oleg Korobkin, Hyun Lim, Irina Sagert +5
Smoothed particle hydrodynamics (SPH) is positioned as having ideal conservation properties. When properly implemented, conservation of total mass, energy, and both linear and angu…
A Spacetime Finite Elements Method to Solve the Dirac Equation
Rylee Sundermann, Hyun Lim, Jace Waybright +1
In this work, a fully implicit numerical approach based on space-time finite element method is presented to solve the Dirac equation in 1 (space) + 1 (time), 2 + 1, and 3 + 1 dimen…
Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry
Aaron Held, Hyun Lim
We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The…
Massively Parallel Simulations of Binary Black Hole Intermediate-Mass-Ratio Inspirals
Milinda Fernando, David Neilsen, Hyun Lim +2
We present a highly-scalable framework that targets problems of interest to the numerical relativity and broader astrophysics communities. This framework combines a parallel octree…