========== 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. 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. Software Documentation ---------------------- - `Kokkos Documentation `_ - `Trilinos Documentation `_ - `ADCIRC Documentation `_