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, United States Of America, 16 - 20 June 2014 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume:
  • Doi Number: 10.2514/6.2014-3177
  • City: Atlanta, GA
  • Country: United States Of America
  • Middle East Technical University Affiliated: Yes


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.