A Karhunen-Loeve based galerkin approximation to Boussinesq equation

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Atıf İçin Kopyala

Tarman I. H.

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, cilt.137, sa.3-4, ss.275-284, 1996 (SCI-Expanded)

• 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.