On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model

• Autorzy: Aseel Farhat , Evelyn Lunasin , Edriss S. Titi
• Języki publikacji: EN

Abstrakty

EN

Analyzing the validity and success of a data assimilation algorithmwhen some state variable observations are not available is an important problem in meteorology and engineering. We present an improved data assimilation algorithm for recovering the exact full reference solution (i.e. the velocity and temperature) of the 3D Planetary Geostrophic model, at an exponential rate in time, by employing coarse spatial mesh observations of the temperature alone. This provides, in the case of this paradigm, a rigorous justification to an earlier conjecture of Charney which states that temperature history of the atmosphere, for certain simple atmospheric models, determines all other state variables.

Słowa kluczowe

EN

Planetary Geostrophic model; data assimilation; nudging; downscaling; Charney’s conjecture

• Wydawca: De Gruyter Open
• Czasopismo: Mathematics of Climate and Weather Forecasting
• Rocznik: 2016
• Tom: 2
• Numer: 1

Daty

otrzymano

2016-09-07

zaakceptowano

2016-11-23

online

2016-12-23

Twórcy

autor

Aseel Farhat

• Department of Mathematics, University of Virginia, Charlottesville, VA 22904, USA

autor

Evelyn Lunasin

• Department of Mathematics, United States Naval Academy, Annapolis, MD, 21402, USA

autor

Edriss S. Titi

• Department of Mathematics, Texas A&M University, 3368 TAMU, College Station, TX 77843-3368, USA. ALSO, Department of Computer Science and Applied Mathematics, Weizmann Institute of Science, Rehovot 76100, Israel

Identyfikatory

DOI

10.1515/mcwf-2016-0004