wiki:u/erica/OutflowKernelEquations

Version 8 (modified by Erica Kaminski, 7 years ago) ( diff )

Target values for jet quantities (to be split exactly over the top and bottom outflow cones, and in the case of momentum — in opposite directions):

Quantity Target Value Description
Mass, Some fraction of accreted mass
(Radial) Momentum, The outflow mass has radial velocity = escape speed at surface of protostar
Angular Momentum, Some fraction of accreted spin angular momentum, perhaps we can make this more physical, and align along different axis
Energy/Temperature ?? Should we inject a temperature into the jet?? This wouldn't be self-consistent/conservative since we don't assign a temp to the sink particle

What we seek are outflow quantities :

where are the corresponding target outflow quantities in the above table, and are the smoothing functions in and (which also define the outflow's conical geometry), and , are the normalization constants to be found such that:

For mass, the solution for the kernel constants are trivial. For half of the cone (say the top), we have:

which gives:

Thus to fill the outflow kernel with mass, the algorithm would proceed as follows:

  1. Solve for and
  2. For all cells within for which the jet axis > 0 apply
  3. Repeat for the bottom half

Attachments (1)

Download all attachments as: .zip

Note: See TracWiki for help on using the wiki.