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Atmosphere Volume 14, 1976 - Issue 1
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Original Articles

On vertical interpolation and truncation in connexion with use of sigma system models

Hilding Sundqvist Division de Recherche en Prévision Numérique, Atmospheric Environment Service, Montreal, Quebec; Department of Meteorology, University of Stockholm, Arrhenius Laboratory, Fack, Stockholm, S‐104 05, Sweden
Pages 37-52 | Received 26 Nov 1975, Published online: 08 Nov 2010

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Roger Daley. (1979) The application of non‐linear normal mode initialization to an operational forecast model. Atmosphere-Ocean 17:2, pages 97-124.
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Articles from other publishers (28)

Alina Chertock, Alexander Kurganov, Tong Wu & Jun Yan. (2023) Well-balanced numerical method for atmospheric flow equations with gravity. Applied Mathematics and Computation 439, pages 127587.
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J. Li, F. Fang, J. Steppeler, J. Zhu, Y. Cheng & X. Wu. (2021) Demonstration of a three-dimensional dynamically adaptive atmospheric dynamic framework for the simulation of mountain waves. Meteorology and Atmospheric Physics 133:6, pages 1627-1645.
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J. Steppeler, J. Li, I. M. Navon, F. Fang & Z. Xiao. (2019) Medium range forecasts using cut-cells: a sensitivity study. Meteorology and Atmospheric Physics 132:2, pages 171-179.
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J. Steppeler & J. B. Klemp. (2017) Advection on Cut-Cell Grids for an Idealized Mountain of Constant Slope. Monthly Weather Review 145:5, pages 1765-1777.
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Simone Marras, James F. Kelly, Margarida Moragues, Andreas Müller, Michal A. Kopera, Mariano Vázquez, Francis X. Giraldo, Guillaume Houzeaux & Oriol Jorba. (2015) A Review of Element-Based Galerkin Methods for Numerical Weather Prediction: Finite Elements, Spectral Elements, and Discontinuous Galerkin. Archives of Computational Methods in Engineering 23:4, pages 673-722.
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Yuki Nishikawa & Masaki Satoh. (2016) A Conserved Topographical Representation Scheme Using a Thin-Wall Approximation in Z-Coordinates. SOLA 12:0, pages 232-236.
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Chih-Chieh Chen & Philip J. Rasch. (2012) Climate Simulations with an Isentropic Finite-Volume Dynamical Core. Journal of Climate 25:8, pages 2843-2861.
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Sarah-Jane Lock, Heinz-Werner Bitzer, Alison Coals, Alan Gadian & Stephen Mobbs. (2012) Demonstration of a Cut-Cell Representation of 3D Orography for Studies of Atmospheric Flows over Very Steep Hills. Monthly Weather Review 140:2, pages 411-424.
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Stefan Jebens, Oswald Knoth & Rüdiger Weiner. (2011) Partially implicit peer methods for the compressible Euler equations. Journal of Computational Physics 230:12, pages 4955-4974.
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Hiroe Yamazaki & Takehiko Satomura. (2010) Nonhydrostatic Atmospheric Modeling Using a Combined Cartesian Grid. Monthly Weather Review 138:10, pages 3932-3945.
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R. Klein, K. R. Bates & N. Nikiforakis. (2009) Well-balanced compressible cut-cell simulation of atmospheric flow. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 367:1907, pages 4559-4575.
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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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Robert L. Walko & Roni Avissar. (2008) The Ocean–Land–Atmosphere Model (OLAM). Part II: Formulation and Tests of the Nonhydrostatic Dynamic Core. Monthly Weather Review 136:11, pages 4045-4062.
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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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J. Steppeler, H. W. Bitzer, Z. Janjic, U. Schättler, P. Prohl, U. Gjertsen, L. Torrisi, J. Parfinievicz, E. Avgoustoglou & U. Damrath. (2006) Prediction of Clouds and Rain Using a z-Coordinate Nonhydrostatic Model. Monthly Weather Review 134:12, pages 3625-3643.
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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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Jürgen Steppeler, Heinz-Werner Bitzer, Maud Minotte & Luca Bonaventura. (2002) Nonhydrostatic Atmospheric Modeling using a z -Coordinate Representation . Monthly Weather Review 130:8, pages 2143-2149.
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Luca Bonaventura. (2000) A Semi-implicit Semi-Lagrangian Scheme Using the Height Coordinate for a Nonhydrostatic and Fully Elastic Model of Atmospheric Flows. Journal of Computational Physics 158:2, pages 186-213.
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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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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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A. J. Simmons & Chen Jiabin. (2006) The calculation of geopotential and the pressure gradient in the ECMWF atmospheric model: Influence on the simulation of the polar atmosphere and on temperature analyses. Quarterly Journal of the Royal Meteorological Society 117:497, pages 29-58.
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A. J. Simmons & L. Bengtsson. 1988. Physically-Based Modelling and Simulation of Climate and Climatic Change. Physically-Based Modelling and Simulation of Climate and Climatic Change 23 76 .
D. T. Mihailović. (1986) Pressure gradient force and calculation initial temperature in terrain-following coordinate modelsZur Initialisierung des Temperaturfeldes mit Hilfe der Druckgradientkraft in einem der Topographie folgenden Koordinatensystem. Meteorology and Atmospheric Physics 35:1-2, pages 53-58.
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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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Lennart Bengtsson. 1985. Issues in Atmospheric and Oceanic Modeling - Part B Weather Dynamics. Issues in Atmospheric and Oceanic Modeling - Part B Weather Dynamics 3 54 .
D. T. Mihafović. (1981) Calculation of initial temperature from interpolated pressure gradient force inσ coordinate modelsBerechnung der Ausgangstemperatur aus interpolierter Druckgradientkraft inσ Koordinatenmodells. Archives for Meteorology, Geophysics, and Bioclimatology Series A 30:3, pages 239-251.
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