Performance comparison of Newton and Newton-GMRES methods in 3-D flow analysis

Date

2014

Author

Yıldızlar, Buket

Metadata

Show full item record

Item Usage Stats

14
views

14
downloads

Cite This

Because of CPU time problems, an alternative to Newton’s method is investigated in order to make a flow analysis in a 3-D Supersonic Nozzle. Calculation and forming of the Jacobian matrix get harder as the system gets larger. On the contrary, Newton-GMRES approach does not require direct access to the Jacobian matrix. Due to the fact that it provides a dramatic decrease in CPU time, Newton-GMRES method is examined. To compare their performance on a supersonic nozzle, 3-D Euler Equations are solved with Newton’s and Newton-GMRES methods respectively. A parametric study is conducted for Newton-GMRES method to find the optimal solution with respect to CPU times elapsed. In order to analyse Newton-GMRES method’s behavior on larger systems, different test cases are generated. The code is developed for Newton-GMRES method with Fortran77.

Subject Keywords

Fluid dynamics., Euler Equations., Jacobians., Newton method., Newton-GMRES Method.

URI

http://etd.lib.metu.edu.tr/upload/12616993/index.pdf
https://hdl.handle.net/11511/23419

Collections

Graduate School of Natural and Applied Sciences, Thesis