Stability criteria for the LSDM (Livermore Statistical Dynamic Model)
One criterion for stable integration of zonally averaged primitive equation models is normally given by the Courant-Fridericks-Lewy condition applied to the fastest (horizontally) progagating waves. In practice this means that the horizontally propagating acoustic wave (Lamb wave) limits the length of the time step that can be used in the integration: ..delta..t < ..delta..x/c, where c is the phase speed of the Lamb wave. In the Livermore Statistical Dynamic Model (LSDM) there are other simulated processes that may place more stringent constraints on the length of the time-step. In the attached notes, I have derived the stability criteria for the LSDM. I have found that to a good approximation (within 15%), the length of time-step must be less than ..delta..t/sub c/ where 1/..delta..t/sub c/ = (1 + ..gamma../2) (1/tau/sub s/ + 1/tau/sub r/) + ..gamma../2 1/tau/sub e/.
- Research Organization:
- Lawrence Livermore National Lab., CA (USA)
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 7026669
- Report Number(s):
- UCID-20906; ON: DE87002734
- Country of Publication:
- United States
- Language:
- English
Similar Records
Toroidal ion temperature gradient-driven weak turbulence
Theory of nonstationary Josephson effect in short superconducting contacts