A Karhunen-Loeve based galerkin approximation to Boussinesq equation

1996-11-01
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.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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Citation Formats
I. H. Tarman, “A Karhunen-Loeve based galerkin approximation to Boussinesq equation,” COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, vol. 137, no. 3-4, pp. 275–284, 1996, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/92425.