\begin{thebibliography}{}

\bibitem[\protect\astroncite{Guermond and Minev}{2006}]{guermond06}
Guermond, J. and Minev, P. (2006).
\newblock {An overview of projection methods for incompressible flow}.
\newblock {\em {Comput. Methods Appl. Mech. Engrg.}}, 195:6011--6045.

\bibitem[\protect\astroncite{Leveque}{2002}]{leveque02}
Leveque, R.~J. (2002).
\newblock {\em Finite Volume Methods for Hyperbolic Problems}.
\newblock Cambridge University Press.

\bibitem[\protect\astroncite{Sapsis and Lermusiaux}{2009}]{sapsis09}
Sapsis, T. and Lermusiaux, P. (2009).
\newblock {Dynamically orthogonal field equations for continuous stochastic
  dynamical systems}.
\newblock {\em {Physica D}}, 238:2347--2360.

\bibitem[\protect\astroncite{Sapsis and
  Lermusiaux}{2011}]{sapsis_lermusiaux_PhysD2011}
Sapsis, T.~P. and Lermusiaux, P. F.~J. (2011).
\newblock {Dynamical criteria for the evolution of the stochastic
  dimensionality in flows with uncertainty}.
\newblock {\em {Physica D}}, In. Press.

\bibitem[\protect\astroncite{Van~Leer}{1977}]{leer77}
Van~Leer, B. (1977).
\newblock {Towards the ultimate conservative difference scheme. IV. A new
  approach to numerical convection}.
\newblock {\em {J. Comput. Phys.}}, 23(3):276 -- 299.

\end{thebibliography}