Three-dimensional Scaling and Structure of Atmospheric Energetics

Baer, F.

doi:10.1175/1520-0469(1981)038<0052:tdsaso>2.0.co;2

Cited by 10 publications

(8 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When projecting atmospheric data onto three-dimensional normal modes as in, for example, the studies of Kasahara and Puri (1981) and Baer (1981), it is important to determine accurately the equivalent depths in order to estimate correctly the relative contributions of the kinetic and potential energies to the total energy. Substituting (3.18) into (3.16), integrating the third term by parts and using the relationship Downloaded by [37.123.130.176] …”

Section: -(¿)Tö-)-h-mentioning

confidence: 99%

An analysis of the vertical structure equation in sigma coordinates

Staniforth¹,

Beland²,

Côté³

1985

Atmosphere-Ocean

View full text Add to dashboard Cite

An analysis of the vertical structure equation of sigma coordinate primitive equation models is given that brings together and extends the work of several authors. We derive the vertical structure equation, and obtain its solution for a two-parameter family of vertical structure profiles that includes those of previous studies. For this family, it is shown that in the limiting case of an unbounded atmosphere the spectrum becomes partially continuous, rather than entirely discrete as in the bounded case. A criterion is obtained for the validity of the linearization used to derive the vertical structure equations, and it turns out that this criterion is satisfied by all but one of the previous studies. Asymptotic expansions are derived and used to explain two observations of Wiin-Nielsen (1971a), viz. why the equivalent depths of the internal modes are relatively insensitive to the precise choice of lower boundary condition, and why one choice in particular leads to the elimination of the external mode; these asymptotic expansions also yield surprisingly accurate numerical values for the equivalent depths. Finally, the projection of atmospheric data onto modes found by direct numerical approximation of the vertical structure equation is shown, particularly for the least grave modes, to be very sensitive to resolution; consequently care must be exercised when interpreting the results of data projection studies that use this approach.RÉSUMÉ On présente une analyse de l'équation de structure verticale des modèles aux équations primitives en coordonnée sigma. Ce travail rassemble et prolonge les travaux de plusieurs auteurs. On dérive l'équation de structure verticale et on la résout pour une famille de profils de stabilité statique à 2 paramètres qui comprend ceux des études antérieures. On montre que pour cette famille le spectre devient partiellement continu dans le cas d'une atmosphère non-bornée plutôt que complètement discret comme c'est le cas pour une atmosphère bornée. On obtient un critère de validité de la linéarisation effectuée pour obtenir l'équation de structure verticale, et il appert que ce critère est satisfait dans toutes les études antérieures sauf une. On dérive des développements asymptotiques qui nous permettent d'expliquer deux observations de Wiin-Nielsen (1971a), nçtamment Vinsensibilité relative des profondeurs équivalentes des modes internes au choix de la condition limite inférieure et l'élimination du mode externe avec un choix particulier; les profondeurs équivalentes ainsi obtenues sont d'une précision surprenante. Finalement la projection de données mé-téorologiques sur les modes propres, surtout les moins graves, trouvés à partir d'approximations numériques à l'équation de structure verticale s'avère très sensible à la résolution, par conséquent la prudence s'impose pour l'interprétation des résultats d'études utilisant cette technique. ATMOSPHERE-OCEAN 23 (4) 1985, 323-358 0705-5900/85/0000-0323S01.25/0 © Canadian Meteorological and Oceanographic Society Downloaded by [37.123.130.176]...

show abstract

Section: -(¿)Tö-)-h-mentioning

confidence: 99%

An analysis of the vertical structure equation in sigma coordinates

Staniforth¹,

Beland²,

Côté³

1985

Atmosphere-Ocean

View full text Add to dashboard Cite

show abstract

“…Baer et al. outlined the methods by which XPS data can be obtained from liquid samples, such as cleaning, extraction, and placement of desired nano‐materials [64] . According to the author, the most commonly used methods to obtain XPS data for nanomaterials from solution include drop coating and spin coating, as well as sample dipping [64] .…”

Section: Resultsmentioning

confidence: 99%

Photoluminescence Properties of Graphene Oxide in Non‐Aqueous Solvents

Pandit,

Bhattacharjee,

Seth

2023

ChemPhysChem

View full text Add to dashboard Cite

Detailed attention to the study of interaction between graphene oxide (GO) and various different organic fluorophores have been documented in literature as a result of which the impact of GO on the photophysical properties of the fluorophores is well known to the scientific community. However, the photoluminescence (PL) properties of GO in polar aprotic solvents is yet to be established. In this article we report the PL properties of GO in various polar aprotic solvents using various spectroscopic techniques. n‐π* transition due to the C=O bonds in the sp3 hybrid regions and π‐π* transition due to C=C bonds is the sp2 hybrid are prominent in GO. The presence of quasi‐molecules within sp2‐sp3 domains which acts as PL centres, and located in the sp3 matrixes of GO are responsible for the PL properties. The present article implies the presence of multiple emissive states of GO in polar aprotic solvents and conveys the fact that the PL properties of GO are very much wavelength dependent.

show abstract

“…ray( e,k) for example, Baer (1980), Stanford (1979), Kasahara and Puri (1981), Smith r and Woolf (1976). An illustration of the explicit use of Stanford's results in this context can be found in Wahba (1982b).…”

Section: Design Criteriamentioning

confidence: 99%

Design Criteria and Eigensequence Plots for Satellite-Computed Tomography

Wahba

1985

J. Atmos. Oceanic Technol.

View full text Add to dashboard Cite

The use of the "degrees of freedom for signal" is proposed as a design criteria for comparing different designs for satellite and other measuring systems. It is also proposed that certain eigensequence plots be examined at the design stage along with appropriate estimates of the parameter a playing the role of noise to signal ratio. The degrees of freedom for signal and the eigensequence plots may be determined using prior information in the spectral domain which is presently available along with a description of the system, and simulated data for estimating X. This work extends the 1972 work of Weinreb and Crosby.

show abstract

Three-dimensional Scaling and Structure of Atmospheric Energetics

Cited by 10 publications

References 0 publications

An analysis of the vertical structure equation in sigma coordinates

An analysis of the vertical structure equation in sigma coordinates

Photoluminescence Properties of Graphene Oxide in Non‐Aqueous Solvents

Design Criteria and Eigensequence Plots for Satellite-Computed Tomography

Contact Info

Product

Resources

About