A Karhunen-Loeve based galerkin approximation to Boussinesq equation

Tarman I. H.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol.137, no.3-4, pp.275-284, 1996 (SCI-Expanded) identifier identifier


The Boussinesq equation which is derived from the Navier-Stokes equation is approximated by the amplitude equations constructed through the Karhunen-Loeve (K-L) based Galerkin projection. The construction is worked out in a systematic way and some numerical experiments are performed. It is shown numerically that K-L based Galerkin approximation provides a satisfactory and robust description of the dynamics with an involvement of a relatively low degrees of freedom.