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

2014-01-01
Yildizlar, B.
Eyi, Sinan
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.
Citation Formats
B. Yildizlar and S. Eyi, “Comparison of newton and newton-GMRES methods for three dimensional supersonic nozzle design,” 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/69632.