World Library  

Add to Book Shelf
Flag as Inappropriate
Email this Book

Development of a Tangent Linear Model (Version 1.0) for the High-order Method Modeling Environment Dynamical Core : Volume 7, Issue 3 (17/06/2014)

By Kim, S.

Click here to view

Book Id: WPLBN0003973830
Format Type: PDF Article :
File Size: Pages 8
Reproduction Date: 2015

Title: Development of a Tangent Linear Model (Version 1.0) for the High-order Method Modeling Environment Dynamical Core : Volume 7, Issue 3 (17/06/2014)  
Author: Kim, S.
Volume: Vol. 7, Issue 3
Language: English
Subject: Science, Geoscientific, Model
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Publication Date:
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications


APA MLA Chicago

Jung, B., Kim, S., & Jo, Y. (2014). Development of a Tangent Linear Model (Version 1.0) for the High-order Method Modeling Environment Dynamical Core : Volume 7, Issue 3 (17/06/2014). Retrieved from

Description: Korea Institute of Atmospheric Prediction Systems, Seoul, South Korea. We describe development and validation of a tangent linear model for the High-Order Method Modeling Environment, the default dynamical core in the Community Atmosphere Model and the Community Earth System Model that solves a primitive hydrostatic equation using a spectral element method. A tangent linear model is primarily intended to approximate the evolution of perturbations generated by a nonlinear model, provides a computationally efficient way to calculate a nonlinear model trajectory for a short time range, and serves as an intermediate step to write and test adjoint models, as the forward model in the incremental approach to four-dimensional variational data assimilation, and as a tool for stability analysis. Each module in the tangent linear model (version 1.0) is linearized by hands-on derivations, and is validated by the Taylor–Lagrange formula. The linearity checks confirm all modules correctly developed, and the field results of the tangent linear modules converge to the difference field of two nonlinear modules as the magnitude of the initial perturbation is sequentially reduced. Also, experiments for stable integration of the tangent linear model (version 1.0) show that the linear model is also suitable with an extended time step size compared to the time step of the nonlinear model without reducing spatial resolution, or increasing further computational cost. Although the scope of the current implementation leaves room for a set of natural extensions, the results and diagnostic tools presented here should provide guidance for further development of the next generation of the tangent linear model, the corresponding adjoint model, and four-dimensional variational data assimilation, with respect to resolution changes and improvements in linearized physics and dynamics.

Development of a tangent linear model (version 1.0) for the High-Order Method Modeling Environment dynamical core

Bennett, A. F.: Inverse modeling of the ocean and atmosphere, Cambridge University Press, Cambridge, 2002.; Courtier, P. and Talagrand, O.: Variational assimilation of meteorological observations with the adjoint equation –Part I. Numerical results, Q. J. Roy. Meteorol. Soc., 113, 1329–1347, 1987.; Courtier, P., Thepaut, J.-N., and Hollingworth, A.: A strategy for operational implementation of 4D-Var, using an incremental approach, Q. J. Roy. Meteorol. Soc., 120, 1367–1387, 1994.; Dennis, J. M., Edwards, J., Evans, K. J., Guba, O. N., Lauritzen, P. H., Mirin, A. A., St-Cyr, A., Taylor, M. A., and Worley, P. H.: CAM-SE: A scalable spectral element dynamical core for the Community Atmosphere Model, Int. J. High. Perform. C., 26, 74–89, 2012.; Ehrendorder, M. and Errico, R. M.: Mesoscale predictability and the spectrum of optimal perturbations, J. Atmos. Sci., 52, 3475–3500, 1995.; Errico, R. and Raeder, K.: An examination of the accuracy of the linearization of a mesoscale model with moist physics, Q. J. Roy. Meteorol. Soc., 120, 1367–1387, 1999.; Errico, R. M., Vukicevic, T., and Raeder, K.: Examination of the accuracy of a tangent linear model, Tellus A, 45, 462–497, 1993.; Giering, R. and Kaminski, T.: Recipes for adjoint code construction, ACM T. Math. Software, 24, 437–474, 1998.; Jablonowski, C. and Williamson D. L.: A baroclinic wave test case for atmospheric model dynamical cores, Q. J. Roy. Meteorol. Soc., 132, 2943–2957, 2006.; Lacarra, J.-F. and Talagrand, O.: Short-range evolution of small perturbations in a barotropic model, Tellus A, 40, 81–95, 1988.; Nair, R. D. and Tufo, H. M.: Petascale atmospheric general circulation models, J. Phys., 78, 012078, doi:10.1088/1742-6596/78/1/012078, 2007.; Nair, R. D., Choi, H.-W., and Tufo, H. M.: Computational aspects of a scalable high-order discontinuous Galerkin atmospheric dynamical core, Comput. Fluids, 38, 309–319, 2009.; Navon, I. M., Zou, X., Derber, J., and Sela, J.: Variational data assimilation with an adiabatic version of the NMC spectral model, Mon. Weather Rev., 120, 1433–1446, 1992.; Polavarapu, S., Ren, S., Clayton, A. M., Sankey, D., and Rochon, Y.: On the relationship between incremental analysis updating and incremental digital filtering, Mon. Weather Rev., 132, 2495–2502, 2004.; Rabier, F. and Courtier, P.: Four-Dimensional assimilation in the presence of baroclinic instability, Q. J. Roy. Meteorol. Soc., 118, 649–672, 1992.; Thomas, S. J. and Loft, R. D.: Semi-implicit spectral element model, J. Sci. Comput., 17, 339–350, 2002.; Yannick, T.: Diagnostics of linear and incremental approximations in 4D-Var, Q. J. Roy. Meteorol. Soc., 130, 2233–2251, 2004.; Yannick T.: Incremental 4D-Var convergence study, Tellus, 59A, 706–718, 2007.; Zhu, J. and Kamachi, M.: The role of time step size in numerical stability of tangent linear models, Mon. Weather Rev., 128, 1562–1572, 2000.; Zou, X., Vandenberghe, F., Pondeca, M., and Kuo, Y.-H.: Introduction to adjoint techniques and the MM5 adjoint modeling system. NCAR Technical Note, NCAR/TN-435-STR, 1997.


Click To View

Additional Books

  • 3-d Visualization of Ensemble Weather Fo... (by )
  • A Model Using Marginal Efficiency of Inv... (by )
  • The Surfexv7.2 Land and Ocean Surface Pl... (by )
  • Assessing Climate Model Software Quality... (by )
  • Evaluating a Lightning Parameterization ... (by )
  • Parameters Sensitivity Analysis for A~cr... (by )
  • Simulated Pre-industrial Climate in Berg... (by )
  • Costrice – Three Model Online Coupling U... (by )
  • Efficient Approximation of the Incomplet... (by )
  • Representing Icebergs in the ILoveclim M... (by )
  • Evaluation of the New Ukca Climate-compo... (by )
  • Parallel Algorithms for Planar and Spher... (by )
Scroll Left
Scroll Right


Copyright © World Library Foundation. All rights reserved. eBooks from World eBook Library on the Kindle are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.