****************************************************************** *** Papers related to pressure gradient errors in Sigma models *** *** and various ways to reduce these 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. Chu, P. C. and Fan, C., Hydrostatic correction for sigma coordinate ocean models. J. Geophys. Res., 108(C6), 10.1029/2002JC001668, 2003 Ezer, T., H. Arango and A. F. Shchepetkin, Developments in terrain- following ocean models: Intercomparisons of numerical aspects, Ocean Modelling, 4, 249-267, 2002. 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, J. Geophys. Res., 108(C3), 10.1029/2001JC001047, 2003. 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.