Comparison of newton and newton-GMRES methods for three dimensional supersonic nozzle design

Yildizlar B., EYİ S.

32nd AIAA Applied Aerodynamics Conference 2014, Atlanta, GA, Amerika Birleşik Devletleri, 16 - 20 Haziran 2014 identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası:
  • Doi Numarası: 10.2514/6.2014-3177
  • Basıldığı Şehir: Atlanta, GA
  • Basıldığı Ülke: Amerika Birleşik Devletleri
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The aim of this study is to implement Newton-GMRES method into supersonic flows as an alternative to Newton method which is a reliable and efficient solver. The flow analysis is based on the three dimensional Euler equations. The objective of this study is compare the performances of Newton and Newton-GMRES methods in a 3-D nozzle design. The Jacobian matrix needed for Newton method is evaluated analytically. Newton-GMRES method is a matrix free solution technique hence it does not require the Jacobian matrix evaluation. A gradient based method is used for numerical optimization. Sensitivities are evaluated by using adjoint method. Design optimization is conducted by Newton's method.