BASIC REFERENCES TO DIFFERENT TERRAIN-FOLLOWING OCEAN MODELS *************************** POM(standard) *************** Blumberg, A. F. and G. L. Mellor, A description of a three- dimensional coastal ocean circulation model, Three-Dimensional Coastal ocean Models, edited by N. Heaps, 208 pp., American Geophysical Union, 1987. Mellor, G. L., Users guide for a three-dimensional, primitive equation, numerical ocean model, 38 pp., Prog. in Atmos. and Ocean. Sci, Princeton University, 1996. *************************** POM(general-coor.) *********** Mellor, G. L., S. Hakkinen, T. Ezer and R. Patchen, A generalization of a sigma coordinate ocean model and an intercomparison of model vertical grids, In: Ocean Forecasting: Theory and Practice, N. Pinardi (Ed.), Springer-Verlag, In Press, 2000. *************************** POM(parallel) ********************** Oberpriller, W. D., A. Sawdey, M. T. O'Keefe and S. Gao, Parallelizing the Princeton Ocean Model using TOPAZ, Parallel Computer Sys. Lab., Dept. Elec. Comp. Eng., University of Minnesota, Tech. Report, 21pp., 1998. *************************** POM(non-Boussinesq) ********** Mellor, G. L. and T. Ezer, Sea level variations induced by heating and cooling: An evaluation of the Boussinesq approximation in ocean models, J. Geophys. Res., 100(C10), 20,565-20,577, 1995. *************************** ECOM ************************ Blumberg, A.F., R. P. Signell and H. L. Jenter, Modeling transport processes in the coastal ocean, J. Mar. Envir. Eng., 31-52, 1993. Blumberg, A.F., A perimer for ECOM-si, HydroQual, Mahwah, NJ., 1991. *************************** SCRUM ******************************* Song, Y. and D. B. Haidvogel. A semi-implicit ocean circulation model using a generalized topography-following coordinate system. J. Comp. Phys., 115(1):228-244, 1994. *************************** SEOM ******************************** Iskandarani, M., D.B. Haidvogel, and J.P. Boyd. A staggered spectral element model with applications to the oceanic shallow water equations. Int. J. Num. Meth. Fl., 20:393-414, 1995. Haidvogel, D. B., Enrique Curchitser, M. Iskandarani, R. Hughes, and M. Taylor. Global modeling of the ocean and atmosphere using the spectral element method. Atmosphere-Ocean, 35:505-531, 1997. *************************** SPEM ********************************* Haidvogel, D. B., J. L. Wilkin and R. Young, A semi-spectral primitive equation ocean circulation model using vertical sigma and orthogonal curvilinear horizontal coordinates, J. Comp. Phys., 94, 151-185, 1991. Hedstrom, K. S., User's manual for a semi-spectral primitive equation regional ocean-circulation model version 3.9. Technical Report 93-23, Institute of Marine and Coastal Sciences, Rutgers University, New Brunswick, NJ, March 1994. *************************** ROMS ********************************** Haidvogel, D.B., H.G. Arango, K. Hedstrom, A. Beckmann, P. Malanotte- Rizzoli, and A.F. Shchepetkin, 2000: Model Evaluation Experiments in the North Atlantic Basin: Simulations in Nonlinear Terrain-Following Coordinates, Dyn. Atmos. Oceans, 2000. Shchepetkin, A.F. and J.C. McWilliams, The Regional Ocean Modeling System: A split-explicit, free-surface, topography-following coordinates ocean model, Submitted, 2000. **************** Pressure Gradient Errors ************************ Auclair, F., P. Marsaleix and C. Estournel, Sigma coordinate pressure gradient errors: Evaluation and reduction by an inverse method, J. Atmos. Ocean Tech., 17, 1348-1367, 2000. Beckman, A., and D. Haidvogel, Numerical simulation of flow around a tall isolated seamount, J. Phys. Oceanogr., 23, 1736-1753, 1993. Chu, P. C. and C. Fan, Sixth-order difference scheme for sigma coordinate ocean models, J. Phys. Oceanogr., 27(9), 2064-2071, 1997. Chu, P.C., and C.W. Fan, A three-point combined compact difference scheme. Journal of Computational Physics, 140, 370-399. 1998. Gary, J. M., Estimate of truncation error in transformed coordinate primitive equation atmospheric models, J. Atmos. Sci., 30, 223-233, 1973. Haney, R. L., On the pressure gradient force over steep topography in sigma coordinate ocean models, J. Phys. Oceanogr., 21, 610-619, 1991. Kliem, N. and J. D. Pietrzak, On the pressure gradient error in sigma coordinate ocean models: A comparison with laboratory experiment, J. Geophys. Res., 104(C12), 29,781-29,799, 1999. Lin, S.-J., A finite volume integration method for computing pressure gradient force in general vertical coordinates, Q. J. R. Meteorol. Soc., 123, 1749-1762, 1997. McCalpin, J. D., A comparison of second-order and fourth-order pressure gradient algorithms in a sigma coordinate ocean model, Int. J. Num. Methods Fluids, 18, 361-383. Mellor, G. L., T. Ezer and L. Y. Oey, The pressure gradient conundrum of sigma coordinate ocean models, J. Atmos. Oceanic. Technol., Vol. 11, No. 4, Part 2, 1126-1134, 1994. Mellor, G. L., L. Y. Oey and T. Ezer, Sigma coordinate pressure gradient errors and the seamount problem, J. Atmos. Oceanic. Technol., 15(5), 1122-1131, 1998. Robertson, R., L. Padman, and M. D. Levine, A correction to the baroclinic pressure gradient term in the Princeton Ocean Model. J. Atm. Ocean Tech., 18, 1068-1075, 2001. Shchepetkin, A.F. and J.C. McWilliams, A method for computing horizontal pressure gradient force in an ocean model with non-aligned vertical coordinate, Submitted, 2001. Song, Y. T., A general pressure gradient formulation for ocean models. Part I: Scheme design and diagnostic analysis, Mon. Weath. Rev., 126, 3213-3230, 1998. Song, Y. T. and D. G. Wright, A general pressure gradient formulation for ocean models. Part II: Energy, momentum, and bottom torque consistency, Mon. Weath. Rev., 126, 3231-3247, 1998.