Project ideas

1
Project ideas

• Here are some ideas for those of you who have not
  defined your projects yet.
• 3 categories
• MCNP application projects
• Building on our SQUARE.FOR transport code
• Extended NE examples
• Extending the theory

2
MCNP application projects

• IF you have MCNP available and want to explore
  its variance reduction techniques, I will allow
  you to define yourself a problem
• Must have some source complexity in space,
  energy, or direction
• Must have some tally complexity in space, energy
  or direction
• Must involve a study of variance reduction
  techniques including at least one of these
• Cell weighting
• Weight windows
• Exponential transform
• DXTRAN spheres

3
Building on our SQUARE.FOR transport code

• Advanced variance reduction techniques on our
  sample 2D problem
• Perfect importance sampling
• Imperfect source sampling
• Control variates
• Learning (i.e., building importance as you go)
• Variance map by decision
• Time dependence
• Generalized track length estimator (from HO
  studies
• I will provide 2D grid of adjoint fluxes if you
  need one

4
Extended NE examples

• Applying our methodology to other differential
  equations
• Point kinetics (no feedback)
• Xenon transients
• Heat transfer in a power-producing slab (with
  external convective cooling)
• Multi-layer diffusion (slab) with absorption
  (fixed source)
• 2D diffusion without absorption
• Curvilinear transformations
• Space-dependent decay

5
Extending the theory

• Non-linear problem
• Application to matrices
• Work out 3rd order problems in 1D (with all
  possible boundary conditions)