A Test of an Upstream Spline Interpolation Technique for the Advective Terms in a Numerical Mesoscale Model

Mahrer, Y.; Pielke, Roger A.

doi:10.1175/1520-0493(1978)106<0818:atoaus>2.0.co;2

Cited by 106 publications

(36 citation statements)

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“…The diffusion is solved with a semi-implicit scheme with weight 0.75 on the future time step. Paegle et al (1976) and Mahrer and Pielke (1978) have presented results showing that a weight of 0.75 on the future time step provides a representation as accurate as the explicit scheme but with a much longer permissible time step. The Arakawa staggered C-grid is used for the model structure.…”

Section: Numerical Methods and Boundary Conditionsmentioning

confidence: 99%

The role of advection of fluxes in modelling dispersion in convective boundary layers

Abiodun¹,

Enger²

2002

Q. J. R. Meteorol. Soc.

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SUMMARYA Eulerian three-dimensional higher-order closure dispersion model is presented. The model uses mean wind and turbulence quantities from a second-order atmospheric boundary-layer model. The dispersion model is validated against results from tank and field experiments and compared to results from Lagrangian dispersion models. The results show quite good agreement with experiment and Lagrangian modelling results for point source dispersion in a convective boundary layer (CBL). Sensitivity studies with the model help to identify the role played by advection and horizontal transport terms in the equations for the fluxes in simulating the essential features of pollutant dispersion.Results from the sensitivity tests show that the characteristic features of dispersion from point sources in the CBL-with an ascending plume during ground-level release and a descending plume from a lifted point source-are caused by an imbalance between the advection and diffusion terms in the equation for the vertical flux. Furthermore, it is shown that there is also a tendency for the plume to split horizontally, which is similarly caused by an imbalance between the advection and diffusion terms in horizontal fluxes. The simulated lateral standard deviations of distance x from a point source, for the vertically integrated concentration, are proportional to x close to the source and to x 1/2 far away from the source, if and only if the advection and diffusion terms are included in the equations for the turbulent fluxes of concentration.

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Section: Numerical Methods and Boundary Conditionsmentioning

confidence: 99%

The role of advection of fluxes in modelling dispersion in convective boundary layers

Abiodun¹,

Enger²

2002

Q. J. R. Meteorol. Soc.

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“…Integration scheme 'Forward-backward' scheme (Mesinger, 1977), semi-implicit 'time splitting' method (Yanenko, 1971), semi-Lagrange horizontal advection based on cubic spline upstream interpolation (Price & MacPherson, 1973;Purnell, 1976;Mahrer & Pielke, 1978), horizontal filter operator for prognostic variables (Shapiro, 1971), 5-min time step…”

Section: Initializationmentioning

confidence: 99%

The global relocatable regional weather prediction model of the German Military Geophysical Office

Prenosil¹,

Amtmann²,

Derichs³

1999

Meteorological Applications

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A regional numerical weather prediction system, consisting of an analysis scheme, a forecast model and a variety of interpretation, visualization and military application tools, named ‘BLM’ has been routinely operating at the German Military Geophysical Office (GMGO) since 1984. At that time, the grid domain was confined to Central Europe and parts of the North Atlantic, where a polar stereographic map projection was appropriate. Owing to increasing user demands, the system had to be made relocatable to provide numerical forecasts at any location of the globe. The relocatable version, called ‘RBL’, is still formulated on a stereographic plane, which is now defined using a rotated geographical system with an artificial north pole right in the middle of the domain. This approach is well known. However, most of the current numerical weather prediction systems are defined on a horizontal latitude–longitude grid, so that the equator in rotated coordinates runs through the centre of the forecast area. The main advantages of the horizontal coordinate transformation used by the ‘RBL’ are numerical stability for a large and economical time step, which enables the model to be run on a computer with limited power, and an invariant map factor all over the globe, which eases the interpretation of the model results for different locations. Copyright © 1999 Royal Meteorological Society

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“…The CSU mesoscale model has been described in detail by Pielke (19'?4), Pielke & Mahrer (1975,1978, and Mahrer & Pielke (1976,1977,1978. In summary, the model, which was developed for the study of thermally forced, terrain-induced mesoscale phenomena, is hydrostatic and consists of the equations of motion, moisture, and continuity written in a three-dimensional terrain-following co-ordinate system.…”

Section: Model and Input Datamentioning

confidence: 99%

Numerical simulation of sea breeze interactions over the Auckland region, New Zealand

McKendry

1992

New Zealand Journal of Geology and Geophysics

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The Colorado State University mesoscale model is used to investigate the influence of gradient wind direction on migratory sea breeze convergence zones (SBCZs) that develop over an irregular coastline incorporating two narrow peninsulas. Results, which are in good qualitative agreement with observations, reveal that SBCZ dynamics are strongly influenced by the extent to which flow is either subparallel or perpendicular to the orientation of the major coastlines. The local coastal configuration is also shown to be the dominant factor controlling the location of zones of intense vertical motion associated with SBCZs. A notable aspect of the study was the simulation of a late afternoon mesoscale cyclonic eddy caused by the interaction of sea breezes during southeasterly gradient flow. Further observations are recommended to verify the existence of this phenomenon.Keywords sea breezes; Auckland; convergence zones; wind-field modelling; peninsulas; mesoscale atmospheric circulations In this study, the Colorado State University mesoscale model is used to investigate the effect of gradient wind direction on the location, dynamics, and intensity of SBCZs that develop over the Auckland region. This mid-latitude coastal environmen t is characterised by two narrow peninsulas of a scale considered to be ideal for the development of strong sea breeze convergence features (Abe & Yoshida 1982). As well as having im]X)rtant implications for local forecasting, recreation (especially sailing), aviation, and air quality, this study provides an opportunity to examine sea breeze interactions that occur at a scale and complexity not previously investigated in the literature. Furthermore, in the absence of a dense mesoscale observation network over the region, application of a mesoscale model permits a high-resolution three-dimensional perspective on local airflow that incorporates those data-sparse regions (i.e. the Hauraki Gulf) which are of prime impodance in forecasting.BACKGROUND

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A Test of an Upstream Spline Interpolation Technique for the Advective Terms in a Numerical Mesoscale Model

Cited by 106 publications

References 0 publications

The role of advection of fluxes in modelling dispersion in convective boundary layers

The role of advection of fluxes in modelling dispersion in convective boundary layers

The global relocatable regional weather prediction model of the German Military Geophysical Office

Numerical simulation of sea breeze interactions over the Auckland region, New Zealand

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