Difference between revisions of "ET Workshop Fall 2011 RAD"
| Line 18: | Line 18: | ||
** truncate series | ** truncate series | ||
** close using some prescription (approximate the rest of the series) | ** close using some prescription (approximate the rest of the series) | ||
| + | * Full Transport equation | ||
| + | ** Full discretization of Boltzmann equation | ||
| + | ** extremely complex | ||
| + | ** used, e.g., in reactor simulations | ||
| + | ** SN/PN discretize equation in different way | ||
| + | ** SN not scaling well | ||
| + | ** PN might work better | ||
* Monte-Carlo | * Monte-Carlo | ||
| + | ** no equations, direct simulations | ||
| + | ** very simple to implement complicated processes | ||
Revision as of 15:56, 2 November 2011
Possibilities
- Leakage scheme
- very ad-hoc
- only mimicks loss due to radiation
- Diffusion equation
- accurate only when mean free path is really short
- almost always implicit to avoid strong CFL limit
- cheap, usually inaccurate
- Flux limited diffusion
- Diffusion + "trick" at lower optical depths
- also simple, and has been used for supernovae simulations
- unclear if working in GR
- limits radiation speed: ad-hoc
- also not very accurate
- Two-Moment-Scheme / Truncated moment scheme
- start with Boltzmann equation
- decompose into moments
- truncate series
- close using some prescription (approximate the rest of the series)
- Full Transport equation
- Full discretization of Boltzmann equation
- extremely complex
- used, e.g., in reactor simulations
- SN/PN discretize equation in different way
- SN not scaling well
- PN might work better
- Monte-Carlo
- no equations, direct simulations
- very simple to implement complicated processes
