  This work is a continuation of the analysis first presented in Cheung & Zaki
(2014). In that study, the combination matrix was introduced as a means to
tractably handle the nonlinear terms in the spectral domain. In this work, a
different approach is discussed. Rather than analyze solutions to the energy
equation, we examine the forced Navier-Stokes equations in spectral space and
determine if direct solutions to the momentum equations can be found. This is
done by using the combination matrix to rewrite the Navier-Stokes as a system
of intersecting quadratic polynomials. Intrepreted geometrically, any solution
to the Navier-Stokes can be represented as a the intersection of a multiple
conic sections.
