3:30 p.m., Friday
Professor Christian Klingenberg
Mathematical modelling and numerical simulation in star formation
We consider astrophysical jet flow associated with star formation.
This is modelled by a system of conservation laws. The non-linear nature of these
differential equations requires numerical discretisation in so-called
conservation form. For our astrophysical problem this puts us into a quandary:
internal variables like pressure and temperature can no longer be computed accurately.
We propose the following way out: Embed the astrophysical jet model into
a more complete model. There it is readily possible to compute the internal
variables. Then we project these variables back to the original model. We
can prove that the translation of this into a numerical procedure leads to reliable solutions.
This talk will be illustrated with the help of pictures showing actual astronomical observations
and numerical simulations.
Refreshments will be served in Math Annex Room 1115, 3:15 p.m.