Open AccessA New Diffusion Scheme for Numerical Models Based on Full Irreversibility
Author(s) -
C. Liu,
Y. Liu,
Hui Xu
Publication year - 2009
Publication title -
weather and forecasting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.393
H-Index - 106
eISSN - 1520-0434
pISSN - 0882-8156
DOI - 10.1175/2008waf2222145.1
Subject(s) - dissipation , diffusion , atmosphere (unit) , work (physics) , statistical physics , series (stratigraphy) , numerical weather prediction , burgers' equation , computer simulation , mathematics , meteorology , mechanics , physics , geology , thermodynamics , mathematical analysis , partial differential equation , paleontology
In this work, the forecast accuracy of a numerical weather prediction model is improved by emulating physical dissipation as suggested by the second law of thermodynamics, which controls the irreversible evolutionary direction of a many-body system like the atmosphere. The ability of the new physics-based scheme to improve model accuracy is demonstrated via the case of the one-dimensional viscous Burgers equation and the one-dimensional diffusion equation, as well as a series of numerical simulations of the well-known 1998 successive torrential rains along the Yangtze River valley and 365 continuous 24-h simulations during 2005–06 with decreased root-mean-square errors and improved forecasts in all of the simulations.