TITLE

Explicit Two-Step Peer Methods for the Compressible Euler Equations

AUTHOR(S)
Jebens, Stefan; Knoth, Oswald; Weiner, Rüdiger
PUB. DATE
July 2009
SOURCE
Monthly Weather Review;Jul2009, Vol. 137 Issue 7, p2380
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
A new time-splitting method for the integration of the compressible Euler equations is presented. It is based on a two-step peer method, which is a general linear method with second-order accuracy in every stage. The scheme uses a computationally very efficient forward–backward scheme for the integration of the high-frequency acoustic modes. With this splitting approach it is possible to stably integrate the compressible Euler equations without any artificial damping. The peer method is tested with the dry Euler equations and a comparison with the common split-explicit second-order three-stage Runge–Kutta method by Wicker and Skamarock shows the potential of the class of peer methods with respect to computational efficiency, stability, and accuracy.
ACCESSION #
43591035

 

Related Articles

  • Monthly precipitation mapping of the Iberian Peninsula using spatial interpolation tools implemented in a Geographic Information System. Ninyerola, M.; Pons, X.; Roure, J. M. // Theoretical & Applied Climatology;2007, Vol. 89 Issue 3/4, p195 

    In this study, spatial interpolation techniques have been applied to develop an objective climatic cartography of precipitation in the Iberian Peninsula (583,551 km2). The resulting maps have a 200 m spatial resolution and a monthly temporal resolution. Multiple regression, combined with a...

  • Value-Added Quantitative Precipitation Forecasts: How Valuable is the Forecaster? Reynolds, David // Bulletin of the American Meteorological Society;Jul2003, Vol. 84 Issue 7, p876 

    Relates forecaster improvements made to numerical guidance quantitative precipitation forecast to the number of years of model development required to reach same level of accuracy. Improvement in the threat score using the linear fit to the data; Developments on Eta physics package; Need to...

  • Spatial Estimation of Rainfall Distribution and Its Classification in Duhok Governorate Using GIS. Mohamad J. Noori; Hussein H. Hassan; Yaseen T. Mustafa // Journal of Water Resource & Protection;Feb2013, Vol. 6 Issue 2, p75 

    Rainfall is a significant portion of hydrologic data. Rainfall records, however, are often incomplete due to several factors. In this study, the inverse distance weighting (IDW) method integrated with GIS is used to estimate the rainfall distribution in Duhok Governorate. A total of 25 rain fall...

  • Assessment of interpolated ERA-40 reanalysis temperature and precipitation against observations of the Balkan Peninsula. Kostopoulou, Effie; Giannakopoulos, Christos; Holt, Tom; Le Sager, Philippe // Theoretical & Applied Climatology;2010, Vol. 102 Issue 1/2, p115 

    Due to their ready availability and temporal and spatial consistency, reanalysis data are widely used within the climate community. Nevertheless, higher spatial resolutions are often required and statistical interpolation techniques are applied to increase the data resolution. This work aims to...

  • Role of the West African Westerly Jet in Sahel Rainfall Variations. Pu, Bing; Cook, Kerry H. // Journal of Climate;Apr2012, Vol. 25 Issue 8, p2880 

    The West African westerly jet is a low-level feature of the summer climatology that transports moisture from the eastern Atlantic onto the African continent at 8°-11°N. This study examines the relationship between the jet and Sahel precipitation variability in August, when both the jet and...

  • The climatic characteristics of extreme precipitations for short-term intervals in the watershed of Lake Maggiore. Saidi, Helmi; Ciampittiello, Marzia; Dresti, Claudia; Ghiglieri, Giorgio // Theoretical & Applied Climatology;Jul2013, Vol. 113 Issue 1/2, p1 

    Alpine and Mediterranean areas are undergoing a profound change in the typology and distribution of rainfall. In particular, there has been an increase in consecutive non-rainy days, and an escalation of extreme rainy events. The climatic characteristic of extreme precipitations over short-term...

  • Validation of the ALARO-0 model within the EURO-CORDEX framework. Giot, O.; Termonia, P.; Degrauwe, D.; De Troch, R.; Caluwaerts, S.; Smet, G.; Berckmans, J.; Deckmyn, A.; De Cruz, L.; De Meutter, P.; Duerinckx, A.; Gerard, L.; Hamdi, R.; Van den Bergh, J.; Van Ginderachter, M.; Van Schaeybroeck, B. // Geoscientific Model Development Discussions;2015, Vol. 8 Issue 10, p8387 

    Using the regional climate model ALARO-0 the Royal Meteorological Institute of Belgium has performed two simulations of the past observed climate within the framework of the Coordinated Regional Climate Downscaling Experiment (CORDEX). The ERA-Interim reanalysis was used to drive the model for...

  • Local exact controllability for Berger plate equation. C�ndea, Nicolae; Tucsnak, Marius // Mathematics of Control, Signals & Systems;Jun2009, Vol. 21 Issue 2, p93 

    We study the exact controllability of a nonlinear plate equation by the means of a control which acts on an internal region of the plate. The main result asserts that this system is locally exactly controllable if the associated linear Euler�Bernoulli system is exactly controllable. In...

  • Square values of Euler's function. Pollack, Paul; Pomerance, Carl // Bulletin of the London Mathematical Society;Apr2014, Vol. 46 Issue 2, p403 

    We show that almost all squares are missing from the range of Euler's $\varphi$-function.

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics