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Atmosphere Volume 13, 1975 - Issue 3
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Original Articles

On Truncation Errors in Sigma‐System Models

Hilding Sundqvist Dynamic Prediction Research Division, Atmospheric Environment Service, Montreal, Quebec; Dept. of Met., Arrheniuslab, Fack, Stockholm 50, S‐104 05, Sweden
Pages 81-95 | Received 20 May 1975, Published online: 08 Nov 2010

Citations (18)

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Read on this site (2)

Fedor Mesinger. (1982) On the convergence and error problems of the calculation of the pressure gradient force in sigma coordinate models. Geophysical & Astrophysical Fluid Dynamics 19:1-2, pages 105-117.
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Hilding Sundqvist. (1976) On vertical interpolation and truncation in connexion with use of sigma system models. Atmosphere 14:1, pages 37-52.
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Articles from other publishers (16)

Tae-Hyeong Yi & Francis X. Giraldo. (2020) Vertical Discretization for a Nonhydrostatic Atmospheric Model Based on High-Order Spectral Elements. Monthly Weather Review 148:1, pages 415-436.
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David A. Randall, Cecilia M. Bitz, Gokhan Danabasoglu, A. Scott Denning, Peter R. Gent, Andrew Gettelman, Stephen M. Griffies, Peter Lynch, Hugh Morrison, Robert Pincus & John Thuburn. (2019) 100 Years of Earth System Model Development. Meteorological Monographs 59, pages 12.1-12.66.
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Jarle Berntsen. (2011) A perfectly balanced method for estimating the internal pressure gradients in σ-coordinate ocean models. Ocean Modelling 38:1-2, pages 85-95.
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Xiaohai Liu & Wenrui Huang. (2008) An Effective Algorithm to Reduce Horizontal Pressure Gradient Errors in σ-Coordinate in EFDC Hydrodynamic Model. Journal of Coastal Research 10052, pages 193-204.
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Tongwen Wu, Rucong Yu & Fang Zhang. (2008) A Modified Dynamic Framework for the Atmospheric Spectral Model and Its Application. Journal of the Atmospheric Sciences 65:7, pages 2235-2253.
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Øyvind Thiem & Jarle Berntsen. (2006) Internal pressure errors in sigma-coordinate ocean models due to anisotropy. Ocean Modelling 12:1-2, pages 140-156.
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Jarle Berntsen & Gunnar Furnes. (2005) Internal pressure errors in sigma-coordinate ocean models—sensitivity of the growth of the flow to the time stepping method and possible non-hydrostatic effects. Continental Shelf Research 25:7-8, pages 829-848.
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Jarle Berntsen. (2002) Internal Pressure Errors in Sigma-Coordinate Ocean Models. Journal of Atmospheric and Oceanic Technology 19:9, pages 1403-1414.
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Nicolai Kliem & Julie D. Pietrzak. (1999) On the pressure gradient error in sigma coordinate ocean models: A comparison with a laboratory experiment. Journal of Geophysical Research: Oceans 104:C12, pages 29781-29799.
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J Xing, F Chen & R Proctor. (1999) A two-dimensional slice model of the shelf edge region off the west coast of Scotland: model response to realistic seasonal forcing and the role of the M2 tide. Continental Shelf Research 19:10, pages 1353-1386.
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Leiv Håvardd Slørdal. (1997) THE PRESSURE GRADIENT FORCE IN SIGMA-CO-ORDINATE OCEAN MODELS. International Journal for Numerical Methods in Fluids 24:10, pages 987-1017.
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John J. Carroll, Luis R-Mendez-Nu�ez & Saffet Tanrikulu. (1987) Accurate pressure gradient calculations in hydrostatic atmospheric models. Boundary-Layer Meteorology 41:1-4, pages 149-169.
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Chou Ji-Fan. (1986) Treatment and Effects of Orography in NWP Models. Journal of the Meteorological Society of Japan. Ser. II 64A:0, pages 697-712.
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Kikuro Tomine & Shigeo Abe. (1982) A Trial to Reduce Truncation Errors of the Pressure Gradient Force in the Sigma Coordinate Systems. Journal of the Meteorological Society of Japan. Ser. II 60:2, pages 709-716.
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Hajime Nakamura. (1978) Dynamical Effects of Mountains on the General Circulation of the Atmosphere: I. Development of Finite-Difference Schemes Suitable for Incorporating Mountains. Journal of the Meteorological Society of Japan. Ser. II 56:5, pages 317-340.
Crossref
AKIRA KASAHARA. 1977. General Circulation Models of the Atmosphere. General Circulation Models of the Atmosphere 1 66 .

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