MODEL-REDUCTION IN NUMERICAL HEAT-TRANSFER PROBLEMS


SAHIN A. Z., KAVRANOGLU D., BETTAYEB M.

APPLIED MATHEMATICS AND COMPUTATION, cilt.69, sa.2-3, ss.209-225, 1995 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 2-3
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1016/0096-3003(94)00128-q
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.209-225
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

Four recent model reduction schemes, namely, balanced truncation, singular perturbation balanced truncation, Hankel norm approximation, and H-infinity norm approximation are applied to a two-dimensional transient heat conduction problem. The approximations of these four model reduction methods for step response in temperature variation were compared with the finite difference model. It is found that a substantial model order reduction for heat transfer problem is possible. The results are encouraging and attractive especially for the purpose of simulation and control problems.