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

Date

2014-01-01

Author

Yildizlar, B.
Eyi, Sinan

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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.

URI

https://hdl.handle.net/11511/69632

DOI

https://doi.org/10.2514/6.2014-3177

Collections

Department of Aerospace Engineering, Conference / Seminar

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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.