wiki:u/johannjc/injection

Version 1 (modified by Jonathan, 7 years ago) ( diff )

When calculating injection from outflows, we generally have some prescription for the mass, momentum, and possibly energy injection as a function of position within the outflow kernel. However, we would like the numerical injection to satisfy certain requirements.

  1. The total mass injected should equal
  2. The center of mass of the injected mass should equal
  3. The total momentum injected should be (bipolar)
  4. The scalar momentum injected should equal
  5. The angular momentum injected should equal

First, let's consider a simpler example. Let's assume we want to inject a certain amount of mass around a point (in 2D) with a kernel given by where for .

Here is the distance from a sink particle.

For

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