========== References ========== This page lists key references for the numerical methods and software frameworks used in Cocoa. ADCIRC and GWCE --------------- .. [Luettich1992] Luettich, R.A., Westerink, J.J., and Scheffner, N.W. (1992). ADCIRC: An Advanced Three-Dimensional Circulation Model for Shelves, Coasts, and Estuaries. Technical Report DRP-92-6, U.S. Army Engineer Waterways Experiment Station, Vicksburg, MS. .. [Kolar1994] Kolar, R.L., Gray, W.G., Westerink, J.J., and Luettich, R.A. (1994). Shallow water modeling in spherical coordinates: equation formulation, numerical implementation, and application. Journal of Hydraulic Research, 32(1), 3-24. .. [Dawson2006] Dawson, C., Westerink, J.J., Feyen, J.C., and Pothina, D. (2006). Continuous, discontinuous and coupled discontinuous-continuous Galerkin finite element methods for the shallow water equations. International Journal for Numerical Methods in Fluids, 52(1), 63-88. Finite Element Methods ---------------------- .. [Hughes2000] Hughes, T.J.R. (2000). The Finite Element Method: Linear Static and Dynamic Finite Element Analysis. Dover Publications. .. [Zienkiewicz2013] Zienkiewicz, O.C., Taylor, R.L., and Zhu, J.Z. (2013). The Finite Element Method: Its Basis and Fundamentals (7th ed.). Butterworth-Heinemann. Kokkos ------ .. [Edwards2014] Edwards, H.C., Trott, C.R., and Sunderland, D. (2014). Kokkos: Enabling manycore performance portability through polymorphic memory access patterns. Journal of Parallel and Distributed Computing, 74(12), 3202-3216. .. [Trott2022] Trott, C.R., Lebrun-Grandi\ |eacute|, D., Arndt, D., et al. (2022). Kokkos 3: Programming Model Extensions for the Exascale Era. IEEE Transactions on Parallel and Distributed Systems, 33(4), 805-817. Trilinos -------- .. [Heroux2005] Heroux, M.A., Bartlett, R.A., Howle, V.E., et al. (2005). An overview of the Trilinos project. ACM Transactions on Mathematical Software, 31(3), 397-423. .. [Bavier2012] Bavier, E., Hoemmen, M., Rajamanickam, S., and Thornquist, H. (2012). Amesos2 and Belos: Direct and iterative solvers for large sparse linear systems. Scientific Programming, 20(3), 241-255. Wind Stress and Atmospheric Forcing ------------------------------------ .. [Garratt1977] Garratt, J.R. (1977). Review of drag coefficients over oceans and continents. *Monthly Weather Review*, 105, 915-929. Sea Ice Drag ------------ .. [Lupkes2012] Lupkes, C., Gryanik, V.M., Hartmann, J., and Andreas, E.L. (2012). A parametrization, based on sea ice morphology, of the neutral atmospheric drag coefficients for weather prediction and climate models. *Journal of Geophysical Research: Atmospheres*, 117, D13112. doi:10.1029/2012JD017630. .. [Joyce2019] Joyce, B.R., Pringle, W.J., Wirasaet, D., Westerink, J.J., Van der Westhuysen, A.J., Grumbine, R., and Feyen, J. (2019). High resolution modeling of western Alaska tides and storm surge under varying sea ice conditions. *Ocean Modelling*, 141, 101421. doi:10.1016/j.ocemod.2019.101421. Shallow Water Equations ----------------------- .. [Vreugdenhil1994] Vreugdenhil, C.B. (1994). Numerical Methods for Shallow-Water Flow. Springer. .. [Toro2001] Toro, E.F. (2001). Shock-Capturing Methods for Free-Surface Shallow Flows. Wiley. Wetting and Drying ------------------ .. [Medeiros2012] Medeiros, S.C. and Hagen, S.C. (2012). Review of wetting and drying algorithms for numerical tidal flow models. International Journal for Numerical Methods in Fluids, 71(4), 473-487. .. [Carrier1958] Carrier, G.F. and Greenspan, H.P. (1958). Water waves of finite amplitude on a sloping beach. Journal of Fluid Mechanics, 4(1), 97-109. Parametric Tropical Cyclone Vortex ---------------------------------- .. [Gao2013] Gao, J. (2013). On the Surface Wind Stress for Storm Surge Modelling. Ph.D. dissertation, University of North Carolina at Chapel Hill. (Generalized Asymmetric Holland Model, GAHM.) .. [Luettich2026] Luettich, R.A. (2026). GAHM2026: Updated Generalized Asymmetric Holland Model formulation. (Reference MATLAB implementation for the environmental-wind, boundary-layer, and consistency-scan conventions.) .. [LinChavez2012] Lin, N., and Chavez, D. (2012). On hurricane parametric wind and applications in storm surge modeling. Journal of Geophysical Research: Atmospheres, 117, D09120. (Referenced as "Lin & Chavez" in the GAHM2026 formulation; supplies the constant-background environmental-wind option.) .. [Holland1980] Holland, G.J. (1980). An Analytic Model of the Wind and Pressure Profiles in Hurricanes. Monthly Weather Review, 108(8), 1212-1218. .. [Holland2010] Holland, G.J., Belanger, J.I., and Fritz, A. (2010). A Revised Model for Radial Profiles of Hurricane Winds. Monthly Weather Review, 138(12), 4393-4401. Tropical Cyclone Wind-Pressure Relationships -------------------------------------------- .. [AtkinsonHolliday1977] Atkinson, G.D., and Holliday, C.R. (1977). Tropical Cyclone Minimum Sea Level Pressure / Maximum Sustained Wind Relationship for the Western North Pacific. Monthly Weather Review, 105(4), 421-427. .. [Dvorak1984] Dvorak, V.F. (1984). Tropical Cyclone Intensity Analysis Using Satellite Data. NOAA Technical Report NESDIS 11, 47 pp. .. [KnaffZehr2007] Knaff, J.A., and Zehr, R.M. (2007). Reexamination of Tropical Cyclone Wind-Pressure Relationships. Weather and Forecasting, 22(1), 71-88. .. [CourtneyKnaff2009] Courtney, J., and Knaff, J.A. (2009). Adapting the Knaff and Zehr Wind-Pressure Relationship for Operational Use in Tropical Cyclone Warning Centres. Australian Meteorological and Oceanographic Journal, 58(3), 167-179. Baroclinic Coupling -------------------- .. [Pringle2019] Pringle, W.J., Gonzalez-Lopez, J., Joyce, B.R., Westerink, J.J., and van der Westhuysen, A.J. (2019). Baroclinic Coupling Improves Depth-Integrated Modeling of Coastal Sea Level Variations Around Puerto Rico and the U.S. Virgin Islands. Journal of Geophysical Research: Oceans, 124(3), 2196-2217. https://doi.org/10.1029/2018JC014682 .. [Pringle2021] Pringle, W.J., Wirasaet, D., Roberts, K.J., and Westerink, J.J. (2021). Global Storm Tide Modeling with ADCIRC v55: Unstructured Mesh Design and Performance. Geoscientific Model Development, 14, 1125-1145. https://doi.org/10.5194/gmd-14-1125-2021 .. [Blakely2022] Blakely, C.P., Ling, G., Pringle, W.J., Contreras, M.T., Wirasaet, D., Westerink, J.J., et al. (2022). Dissipation and Bathymetric Sensitivities in an Unstructured Mesh Global Tidal Model. Journal of Geophysical Research: Oceans, 127(5), e2021JC018178. https://doi.org/10.1029/2021JC018178 .. [Nycander2005] Nycander, J. (2005). Generation of internal waves in the deep ocean by tides. Journal of Geophysical Research, 110, C10028. https://doi.org/10.1029/2004JC002487 .. [Lyard2004] Lyard, F., Lefevre, F., Letellier, T., and Francis, O. (2004). Modelling the global ocean tides: modern insights from FES2004. Ocean Dynamics, 56, 394-415. https://doi.org/10.1007/s10236-006-0086-x .. [ZaronEgbert2006] Zaron, E.D., and Egbert, G.D. (2006). Estimating open-ocean barotropic tidal dissipation: The Hawaiian Ridge. Journal of Physical Oceanography, 36(6), 1019-1035. https://doi.org/10.1175/JPO2878.1 .. [DeBoyerMontegut2004] de Boyer Montegut, C., Madec, G., Fischer, A.S., Lazar, A., and Iudicone, D. (2004). Mixed layer depth over the global ocean: An examination of profile data and a profile-based climatology. Journal of Geophysical Research, 109, C12003. https://doi.org/10.1029/2004JC002378 Software Documentation ---------------------- - `Kokkos Documentation `_ - `Trilinos Documentation `_ - `ADCIRC Documentation `_