Nonsymmetric bifurcations of solutions of the 2D Navier–Stokes system
✍ Scribed by Dong Li; Yakov G. Sinai
- Book ID
- 113421865
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 179 KB
- Volume
- 229
- Category
- Article
- ISSN
- 0001-8708
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We have studied bifurcation phenomena for the incompressible Navier-Stokes equations in two space dimensions with periodic boundary conditions. Fourier representations of velocity and pressure have been used to transform the original partial differential equations into systems of ordinary differenti
In this paper the Navier-Stokes equations are discretized by semi-implicit schemes and the resulting symmetric or non-symmetric systems of linear equations are treated. A number of solvers for solving generally non-symmetric systems of linear equations are tested in order to find the optimal one.