• Corpus ID: 247292777

Reducing the Dynamic State Index to its main information using Principal Component Analysis

@inproceedings{Muller2022ReducingTD,
  title={Reducing the Dynamic State Index to its main information using Principal Component Analysis},
  author={Annette Muller and Nikolai Spaeth and Johanna Bollow and Iris Eder and Alina Fischer and Jana Frenzel and Annika Gornt and Kunyan Hao and Johanne Ilchmann and Isabel Kasner and Corinna Langwald and Steffen Laube and Flavio Maggioni and Beatrice Neiszt-Pllana and Daniel A. Redant and Lisa Rogge and Susan Sama and David Scheer and Inga Spreen and Patrick W. Varchmin and Vanessa R. Zabel and Wei Zhang and Anika Zibell},
  year={2022}
}
The Dynamic State Index is a scalar quantity designed to identify atmospheric developments such as fronts, hurricanes or specific weather pattern. The DSI is defined as Jacobian-determinant of three constitutive quantities that characterize three-dimensional fluid flows: the Bernoulli stream function, the potential vorticity (PV) and the potential temperature. Here, we tackle the questions (i) if the mathematical formulation of the DSI can be reduced, while keeping the main information, and (ii… 

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References

SHOWING 1-10 OF 12 REFERENCES

Principal component analysis: a review and recent developments

  • I. JolliffeJ. Cadima
  • Computer Science
    Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2016
The basic ideas of PCA are introduced, discussing what it can and cannot do, and some variants of the technique have been developed that are tailored to various different data types and structures.

Using the concept of the Dynamic State Index for a scale-dependent analysis of atmospheric blocking

The dynamic state index with moisture and phase changes

The dynamic state index (DSI) is a scalar field that combines variational information on the total energy and enstrophy of a flow field with the second law of thermodynamics. Its magnitude is a

Scale Dependent Analytical Investigation of the Dynamic State Index Concerning the Quasi-Geostrophic Theory

Abstract The Dynamic State Index (DSI) is a scalar diagnostic field that quantifies local deviations from a steady and adiabatic wind solution and thus indicates non-stationarity aswell as

A generalization of Bernoulli's theorem.

Abstract The conservation of potential vorticity Q can be expressed as ∂(ρQ/∂t + ∇·J = 0, where J denotes the total flux of potential vorticity. It is shown that J is related under statistically

Scale-dependent analyses of precipitation forecasts and cloud properties using the Dynamic State Index

The objective of this study is a scale-dependent analysis of precipitation forecasts of the German Weather Service’s (DWD) non-hydrostatic Lokal-Modell (LM, COSMO-DE) with regard to

Storm tracks and cyclone development using the theoretical concept of the Dynamic State Index (DSI)

The Dynamic State Index (DSI) basing on the Energy-Vorticity Theory is able to detect all non-stationary and diabatic processes in the atmosphere. It is shown for the first time that the index is

Energy–Vorticity Theory of Ideal Fluid Mechanics

Abstract Nambu field theory, originated by Nevir and Blender for incompressible flows, is generalized to establish a unified energy–vorticity theory of ideal fluid mechanics. Using this approach, the

Ertel's vorticity theorems, the particle relabelling symmetry and the energy-vorticity theory of fluid mechanics

The various vorticity theorems of ERTEL are related to a unique symmetry in the substantial or Lagrangian description of fluid mechanics. According to NOETHER'S theorem, this is the particle

Principal Component Analysis

  • H. Shen
  • Environmental Science
    Encyclopedia of Database Systems
  • 2009
The Karhunen-Lo eve basis functions, more frequently referred to as principal components or empirical orthogonal functions (EOFs), of the noise response of the climate system are an important tool