Recent Publications
Nair, R. D., and F. Hebert, 2017: Assessing the Errors from Dimensional Splitting in a 3D Discontinuous Galerkin Atmospheric Model [in preparation] [paper.pdf].
Nazari, F., and R. D. Nair, 2017: A Godunov-type finite-volume solver for nonhydrostatic Euler equations with a time-splitting approach. J. Adv. Model. Earth Syst. (JAMES), Vol.9, DOI: 10.1002/2016MS000888, [paper.pdf].
Toy, M. D., and R. D. Nair, 2017: A potential enstrophy and energy conserving scheme for the shallow-water equations extended to generalized curvilinear coordinates. Mon. Wea. Rev., Vol.145, DOI: 10.1175/MWR-D-16-0250.1, [paper.pdf].
Lauritzen, P. H., M. A. Taylor, J. Overfelt, P. A. Ullrich, R. D. Nair, S. Goldhaber and R. Kelly, 2017: CAM-SECSLAM: Consistent Coupling of a Conservative Semi-Lagrangian Finite-Volume Method with Spectral Element Dynamics. Mon. Wea. Rev., Vol. 145, DOI: 10.1175/MWR-D-16-0258.1, [paper.pdf].
Nair, R. D., L. Bao, M. D. Toy, and R. Kloefkorn, 2016: A High-Order Multiscale Global Atmospheric Model. 8th AIAA Atmospheric and Space Environments Conference, AIAA 2016-3888., DOI: 10.2514/6.2016-3888, [paper.pdf].
Erath, C., M. A. Taylor and R. D. Nair, 2016: Two conservative multi-tracer efficient semi- Lagrangian schemes for multiple processor systems integrated in a spectral-element (climate) dynamical core. Communications in Applied and Industrial Mathematics, Commun. Appl. Ind. Math. 7 (3), 2016, 7195 DOI: 10.1515/caim-2016-0023, [paper.pdf].
Hall, D. M., P. A. Ullrich, K. A. Reed, C. Jablonowski, R. D. Nair, and H. M. Tufo, 2016: Dynamical Core Model Intercomparison Project (DCMIP) tracer transport test results for CAM-SE Q. J. R. Meteorol. Soc., DOI:10.1002/qj.2761 [paper.pdf].
Nair R. D., L. Bao, and M. D. Toy, 2015: A Time-Split Discontinuous Galerkin Transport Scheme for Global Atmospheric Model. Procedia Computer Science, Vol. 51, p 20562065, doi:10.1016/j.procs.2015.05.471, [paper.pdf].
Katta, K. K., R. D. Nair, and V. Kumar, 2015: High-Order Finite Volume Shallow Water Model on the Cubed-Sphere: 1D Reconstruction Scheme Applied Mathematics and Computation, Vol. 266, p 316327, doi:10.1016/j.amc.2015.04.053, [paper.pdf].
Guo, W., R. D. Nair, and X. Zhong, 2015: An Efficient WENO Limiter for Discontinuous Galerkin Transport Scheme on the Cubed Sphere. Int. J. Numer. Meth. Fluids, DOI: 10.1002/fld.4171 [paper.pdf].
Bao, L., R. Kloefkorn, and R. D. Nair, 2015: Horizontally Explicit and Vertically Implicit (HEVI) Time Discretization Scheme for a Discontinuous Galerkin Non-Hydrostatic Model. Monthly Weather Review, Vol. 143, p 972990, doi:10.1175/MWR-D-14-00083.1, [paper.pdf].
Nair R. D., 2015: Qudrature-free Implementation of a Discontinuous Galerkin Global Shallow-Water Model via Flux Correction Procedure. Monthly Weather Review , Vol. 143, p 13351346, doi:10.1175/MWR-D-14-00174.1, [paper.pdf].
Katta, K. K., R. D. Nair, and V. Kumar, 2014: High-Order Finite Volume Transport on the Cubed-Sphere: Comparison between Split and Unsplit Two-Dimensional Schemes. Monthly Weather Review, doi:10.1175/MWR-D-13-00176.1 [paper.pdf].
Guo, W., R. D. Nair, J-M. Qiu, 2014: A Conservative Semi-Lagrangian Discontinuous Galerkin Scheme on the Cubed-Sphere. Monthly Weather Review,
Vol.142, p 457475, doi:10.1175/MWR-D-13-00048.1 [paper.pdf].Erath, C., R. D. Nair, 2014: A Conservative Multi-tracer Transport Scheme for Spectral-Element Spherical Grids. Journal of Computational Physics, Vol. 256, p 118134, http://dx.doi.org/10.1016/j.jcp.2013.08.050 [paper.pdf].
Bao L., R. D. Nair and H. Tufo, 2014: A Mass and Momentum Flux-Form High-Order Discontinuous Galerkin Shallow-Water Model on the Cubed-Sphere Journal of Computational Physics, Vol. 271, p 224243, http://dx.doi.org/10.1016/j.jcp.2013.11.033 [paper.pdf].
Nair, R. D. and K. Katta, 2013: The Central-Upwind Finite-Volume Method for Atmospheric Numerical Modeling. Contemporary Mathematics (AMS), Vol.586, 277-285, doi:10.1090/conm/586/11668. [paper.pdf].
Hall, D., R. D. Nair 2013: Discontinuous Galerkin Transport on the Spherical Yin-Yang Overset Mesh. Monthly Weather Review, Vol .141, p 264-282, doi:10.1175/MWR-D-12-00108.1 [paper.pdf].
Zhang, Y., R. D. Nair 2012: A Non-Oscillatory Discontinuous Galerkin Transport Scheme on the Cubed-Sphere. Monthly Weather Review, Vol.140, p 3106-3126, doi:10.1175/MWR-D-11-00287.1 [paper.pdf].
Mishra, S. K., M. Taylor, R. D. Nair, H. M. Tufo, J. J. Tribbia, 2011: Performance of the HOMME Dynamical Core in the Aqua-Planet configuration of NCAR CAM4: Equatorial Waves. Annales Geophysicae, Vol. 29, 221227. doi:10.5194/angeo-29-221-2011
Norman, M., R. D. Nair and F.H.M. Semazzi, 2011: A low communication and large time step explicit finite-volume solver for non-hydrostatic atmospheric dynamics. Journal of Computational Physics, Vol. 230, p 1567-1584, doi:10.1016/j.jcp.2010.11.022 [paper.pdf].
Mishra, S. K., M. Taylor, R. D. Nair, P. H. Lauritzen, H. M. Tufo, J. J. Tribbia, 2011: Performance of the HOMME Dynamical Core in the Aqua-Planet Configuration of NCAR CAM4: Rainfall Simulation. Journal of Climate:, Vol. 24, 4037-4055, doi:10.1175/2011JCLI3860.1
Lauritzen, P. H., P. A. Ullrich and R. D. Nair, 2011: Atmospheric Transport Schemes: Desirable Properties and a Semi-Lagrangian view on Finite-Volume Discretizations. Numerical Techniques for Global Atmospheric Models, LNCSE, Chapter 8, Vol. 80, p 181250.
Nair, R. D., M. N. Levy and P. H. Lauritzen, 2011: Emerging Numerical Methods for Atmospheric Modeling. Numerical Techniques for Global Atmospheric Models, LNCSE, Chapter 9, Vol. 80, p 251312. [paper.pdf].
Lauritzen, P. H., C. Jablonowski, M. A. Taylor and R. D. Nair, 2010: Rotated versions of the Jablonowski steady-state and baroclinic wave test cases: A dynamical core intercomparison. J. Adv. Model. Earth Syst. (JAMES), Vol. 2, Art. #15, 34 pp, doi:10.3894/JAMES.2010.2.15. [paper.pdf].
Nair, R. D. and P.H. Lauritzen, 2010: A class of deformational flow test cases for linear transport problems on the sphere. Journal of Computational Physics, Vol.229, p 8868-8887, doi:10.1016/j.jcp.2010.08.014 [paper.pdf].
Lauritzen, P.H., R. D. Nair and P.A. Ulrich, 2010: A Conservative Semi-Lagrangian Multitracer Transport Mcheme (CSLAM) on the Cubed-Sphere Grid. Journal of Computational Physics, Vol.229, 1401-1424, doi:10.1016/j.jcp.2009.10.036 [paper.pdf].
Nair, R. D. 2009: Diffusion experiments with a global discontinuous Galerkin shallow water model. Monthly Weather Review, Vol .137, p 33393350, doi:10.1175/2009MWR2843.1 [paper.pdf].
Norman, M.R, F.H.M. Semazzi, and Nair, R. D. 2009: Conservative cascade interpolation on the sphere: An intercomparison of various non-oscillatory reconstructions. Q. J. R. Meteorol. Soc. , Vol .135, p 795805, doi:10.1002/qj.402 [paper.pdf].
Nair, R. D., C.-W. Choi and H. M. Tufo, 2009: Computational Aspects of a High-Order Dicontinuous Galerkin Atmospheric Dynamical Core. Computers & Fluids, Vol. 38, p 309-319, doi:10.1016/j.compfluid.2008.04.006 [paper.pdf].
Levy M.N., R. D. Nair and H.M. Tufo, 2009: A high-order element-based Galerkin method for the barotropic vorticity equation. Int. J. of Numer. Meth. Fluids, Vol. 59, p 1369-1387, doi:10.1002/fld.1874 [paper.pdf].
