Finds eigenvalues for the Orr-Sommerfeld operator. More...
Detailed Description
Finds eigenvalues for the Orr-Sommerfeld operator.
Solving the Eigenvalue problem:
\[ \left(\frac{1}{Re}\mathrm D^4 - \left(\frac{2}{Re} + (1-y^2)\,i \right) \mathrm D^2 + \left(\frac{1}{Re} -2i + (1-y^2)\,i \right)\right)u \;=\; \lambda \; (\mathrm D^2 - 1) u, \]
where \( \mathrm D = \mathrm d/\mathrm d y \).
Definition in file Ex_08.cpp.
Include dependency graph for Ex_08.cpp:
Go to the source code of this file.
Typedefs | |
| typedef complex< double > | Cd_t |
| typedef valarray< double > | Vd_t |
Functions | |
| int | main () |
Typedef Documentation
◆ Cd_t
◆ Vd_t
Function Documentation
◆ main()
| int main | ( | ) |
Definition at line 21 of file Ex_08.cpp.
References sis::Linop< T >::coef, sis::GeneralizedEigenSolver< T >::compute(), sis::GeneralizedEigenSolver< T >::eigenvalues, sis::BcMat< T >::eval, ii(), sis::BcMat< T >::L, sis::N, std::pow(), sis::sis_setup(), and sis::y().
