Dulla, Mund, Ravetto, 2008

Dated: 17 Feb 2016 | Tags:

The quasi-static method revisited

Authors:

  • Sandra Dulla
  • Ernest H. Mund
  • Piero Ravetto

Notes:

History

  • Henry/Curlee (1958) found the quasistatic method (QSM)
  • Yasinsky/Henry 1965 showed that adiabatic approach gave better results on loosely coupled two group diffusion descriptions
  • Ott/Madell (1969) showed that overall errors could be greatly reduced by not ignoring the non-linear coupling between amplitude and shape. Created the IQM.

Algorithmic structure of IQM

  1. PK parameters are evaluated through time interval Dt, assuming shape function has not been modified. Then, amplitude eq may be solved through timesteps dt < Dt
  2. Approximate time derivative by backwards difference. (IQM)
  3. Evaluate the normalization condition.
  4. Update the value of amplitude T
  5. Iterate until convergence criterion for normalization condition error is met.

PCQM Method

  • Uses the basic transport equations and PK equations
  • Shape is a “convenient tool” to get the amplitude from the solution of the basic equations but isn’t an unknown