==========
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.

Software Documentation
----------------------

- `Kokkos Documentation <https://kokkos.org/kokkos-core-wiki/>`_
- `Trilinos Documentation <https://trilinos.github.io/documentation.html>`_
- `ADCIRC Documentation <https://adcirc.github.io/adcirc/>`_