I want to do a short practice to see how mass evolve space and how space curvature evolve mass distribution.

Most of the GR simulations were rather complicated but I think the black hole binary had become quite standard especially with LIGO's success, and I did saw some PPTs from the early 2000s about the topic.

Is there one or two popular papers about the math and pseudo code on the black hole binary simulation? i.e. for beginners?