A Positive Definite Advection Scheme Obtained by Nonlinear Renormalization of the Advective Fluxes

Bott, Andreas

doi:10.1175/1520-0493(1989)117<1006:apdaso>2.0.co;2

Cited by 491 publications

(250 citation statements)

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“…Note in Table 1 and Figure 6 that the nonmonotonic Bott [1989b] scheme can often outscore all the algorithms tested here (e.g., note the dispersion errors for the cosine hill shape in Figure 6). However, such a good performance must be viewed with caution.…”

Section: Shortcomings Of Nonmonotonic Schemesmentioning

confidence: 85%

Human‐activity‐enhanced formation of organic aerosols by biogenic hydrocarbon oxidation

Kanakidou¹,

Tsigaridis²,

Dentener³

et al. 2000

J. Geophys. Res.

144

118

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Section: Shortcomings Of Nonmonotonic Schemesmentioning

confidence: 85%

Human‐activity‐enhanced formation of organic aerosols by biogenic hydrocarbon oxidation

Kanakidou¹,

Tsigaridis²,

Dentener³

et al. 2000

J. Geophys. Res.

144

118

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“…A reason for the high number of convective cells could be the use of a semi-Lagrangian advection scheme for the moisture variables instead of an Euler-forward advection scheme after Bott (1989) used in the two other COSMO configurations. Because of numerical instabilities in the simulations of some wintertime conditions, the DWD introduced the semiLagrangian advection scheme in November 2008.…”

Section: Convective Precipitationmentioning

confidence: 99%

Initiation of deep convection at marginal instability in an ensemble of mesoscale models: a case‐study from COPS

Barthlott

Burton

Kirshbaum

et al. 2011

Quart J Royal Meteoro Soc

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The present study investigates the initiation of precipitating deep convection in an ensemble of convection-resolving mesoscale models. Results of eight different model runs from five non-hydrostatic models are compared for a case of the Convective and Orographically-induced Precipitation Study (COPS). An isolated convective cell initiated east of the Black Forest crest in southwest Germany, although convective available potential energy was only moderate and convective inhibition was high. Measurements revealed that, due to the absence of synoptic forcing, convection was initiated by local processes related to the orography. In particular, the lifting by low-level convergence in the planetary boundary layer is assumed to be the dominant process on that day. The models used different configurations as well as different initial and boundary conditions. By comparing the different model performance with each other and with measurements, the processes which need to be well represented to initiate convection at the right place and time are discussed. Besides an accurate specification of the thermodynamic and kinematic fields, the results highlight the role of boundary-layer convergence features for quantitative precipitation forecasts in mountainous terrain.

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“…Bott's scheme is a more advanced example of a semi-Lagrangian technique. 55 (2) Lagrangian techniques that calculate the movement of the section boundaries acccording to the growth law and redistribute the resulting sectional distribution onto the fixed sectional representation. The UAM-AERO scheme 56 is an example of a Lagrangian technique in which a spline function is used for the redistribution of the sectional representation.…”

Section: Growth By Condensationmentioning

confidence: 99%

Current Status of Air Quality Models for Particulate Matter

Seigneur

2001

Journal of the Air & Waste Management Association

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The current status of the mathematical modeling of atmospheric particulate matter (PM) is reviewed in this paper. Simulating PM requires treating various processes, including the formation of condensable species, the gas/ particle partitioning of condensable compounds, and in some cases, the evolution of the particle size distribution. The algorithms available to simulate these processes are reviewed and discussed. Eleven 3-dimensional (3-D) Eulerian air quality models for PM are reviewed in terms of their formulation and past applications. Results of past performance evaluations of 3-D Eulerian PM models are presented. Currently, 24-hr average PM 2.5 concentrations appear to be predicted within 50% for urban-scale domains. However, there are compensating errors among individual particulate species. The lowest errors tend to be associated with SO 4 2-, while NO 3 -, black carbon (BC), and organic carbon (OC) typically show larger errors due to uncertainties in emissions inventories and the prediction of the secondary OC fraction. Further improvements and performance evaluations are recommended.

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A Positive Definite Advection Scheme Obtained by Nonlinear Renormalization of the Advective Fluxes

Cited by 491 publications

References 0 publications

Human‐activity‐enhanced formation of organic aerosols by biogenic hydrocarbon oxidation

Human‐activity‐enhanced formation of organic aerosols by biogenic hydrocarbon oxidation

Initiation of deep convection at marginal instability in an ensemble of mesoscale models: a case‐study from COPS

Current Status of Air Quality Models for Particulate Matter

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