A Karhunen-Loeve based galerkin approximation to Boussinesq equation
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, cilt.137, sa.3-4, ss.275-284, 1996 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 137 Sayı: 3-4
- Basım Tarihi: 1996
- Doi Numarası: 10.1016/s0045-7825(96)01048-1
- Dergi Adı: COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.275-284
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
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.