The Weather and Climate: Emergent Laws and Multifractal CascadesCambridge University Press, 4 Απρ 2013 - 475 σελίδες Advances in nonlinear dynamics, especially modern multifractal cascade models, allow us to investigate the weather and climate at unprecedented levels of accuracy. Using new stochastic modelling and data analysis techniques, this book provides an overview of the nonclassical, multifractal statistics. By generalizing the classical turbulence laws, emergent higher-level laws of atmospheric dynamics are obtained and are empirically validated over time-scales of seconds to decades and length-scales of millimetres to the size of the planet. In generalizing the notion of scale, atmospheric complexity is reduced to a manageable scale-invariant hierarchy of processes, thus providing a new perspective for modelling and understanding the atmosphere. This new synthesis of state-of-the-art data and nonlinear dynamics is systematically compared with other analyses and global circulation model outputs. This is an important resource for atmospheric science researchers new to multifractal theory and is also valuable for graduate students in atmospheric dynamics and physics, meteorology and oceanography. |
Περιεχόμενα
Introduction | 1 |
Classical turbulence modern evidence | 21 |
Spectral analysis in arbitrary dimensions | 53 |
Cascade phenomenology and spectral analysis | 55 |
Spectral transfers | 58 |
Scalebyscale simplicity an introduction to multiplicative cascades | 59 |
The convexity of Kq | 82 |
Empirical analysis of cascades in the horizontal | 83 |
Revisiting the revised EOLE experiment the effect of temporal averaging | 225 |
Crossspectral analysis between wind altitude and pressure | 227 |
Generalized scale invariance and cloud morphology | 229 |
The normalization constant in anisotropic continuousinscale multifractal simulations | 271 |
Spacetime cascades and the emergent laws of the weather | 274 |
The effect of the vertical wind on the temporal statistics | 313 |
Causal spacetime cascades the emergent laws of waves and predictability and forecasting | 314 |
The emergent laws of macroweather and the transition to the climate | 337 |
Trace moments of quasie_x2010Gaussian processes46 Summary of emergent laws in Chapter 4 | 111 |
Cascades dimensions and codimensions | 113 |
Divergence of highorder statistical moments | 165 |
Continuousinscale cascades the autocorrelation and finite size effects | 167 |
A Mathematica code for causal and acausal multifractal simulations | 172 |
Multifractal simulations on a sphere | 174 |
Tendency poor mans and Haar structure functions and the MFDFA technique | 175 |
Vertical stratification and anisotropic scaling | 183 |
The dimensional transition asymptotic scaling of cascades in the macroweather regime | 366 |
Stochastic linear forcing paradigm versus the fractionally integrated flux model | 371 |
A comparison of monthly surface temperature series | 374 |
Coupled oceanatmosphere modelling | 378 |
The climate | 383 |
427 | |
Άλλες εκδόσεις - Προβολή όλων
The Weather and Climate: Emergent Laws and Multifractal Cascades Shaun Lovejoy,Daniel Schertzer Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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