TY - JOUR
T1 - Convex error growth patterns in a global weather model
AU - Harlim, John
AU - Oczkowski, Michael
AU - Yorke, James A.
AU - Kalnay, Eugenia
AU - Hunt, Brian R.
PY - 2005/6/10
Y1 - 2005/6/10
N2 - We investigate the error growth, that is, the growth in the distance E between two typical solutions of a weather model. Typically E grows until it reaches a saturation value Es. We find two distinct broad log-linear regimes, one for E below 2% of Es and the other for E above. In each, log (E/Es) grows as if satisfying a linear differential equation. When plotting dlog (E)/dt vs log(E), the graph is convex. We argue this behavior is quite different from other dynamics problems with saturation values, which yield concave graphs.
AB - We investigate the error growth, that is, the growth in the distance E between two typical solutions of a weather model. Typically E grows until it reaches a saturation value Es. We find two distinct broad log-linear regimes, one for E below 2% of Es and the other for E above. In each, log (E/Es) grows as if satisfying a linear differential equation. When plotting dlog (E)/dt vs log(E), the graph is convex. We argue this behavior is quite different from other dynamics problems with saturation values, which yield concave graphs.
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U2 - 10.1103/PhysRevLett.94.228501
DO - 10.1103/PhysRevLett.94.228501
M3 - Article
AN - SCOPUS:27744467824
VL - 94
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 22
M1 - 228501
ER -