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Spectral Integral Suite in C++
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| ▼ examples | |
| ▼ Eigenvalues | |
| Ex_05.cpp | Eigenvalues of the diffusion operator |
| Ex_06.cpp | An example for the solution of a generalized eigenvalue problem \( L \phi = \lambda M \phi \) |
| Ex_07.cpp | This solves the generalized eigenvalue problem for a block matrix operator system |
| Ex_08.cpp | Finds eigenvalues for the Orr-Sommerfeld operator |
| Ex_09.cpp | Finds eigenvalues for streamwise-constant linearized Navier-Stokes equations, in two ways: |
| ▼ EquationSolving | |
| Ex_01.cpp | This simulates a simple 2nd order ODE with mixed boundary conditions |
| Ex_02.cpp | An example with a fourth order system |
| Ex_03.cpp | An example with nonconstant coefficients and comparissons with analytical solution |
| Ex_04.cpp | This solves the problem for a block matrix operator system |
| ▼ FrequencyResponses | |
| Ex_10.cpp | Solving for frequency responses of the reaction-diffusion operator, \[ \partial_t u(y,t) \;=\; \partial_{yy}u(y,t) - \epsilon^2 u(y,t) + d(y) \mathrm{e},^{\! j\omega t} \] with homogeneous Neumann boundary conditions, \([\partial_y u (\cdot,t)](y = \pm 1) = 0\) |
| Ex_11.cpp | Solving for the most amplified structures from the linearized equations governing plane Poiseuille flow of a Newtonian fluid |
| Ex_12.cpp | Solving for the singular values, power spectral density and the \(\mathcal{H}_\infty\) norm of the linearized Navier stokes equations. We reproduce Figure 4.10 in [5] using spectral integration with the linearized Navier-Stokes equations in primitive variables |
| Ex_13.cpp | Solving for the principal singular values of an Oldroyd-B fluid. See Figure 8 in [3] |
| ▼ includes | |
| intWts.h | |
| lyap.h | |
| sis.hpp | |
| ▼ plot | |
| plotlyPlots.py | |
| plotter.py | |
| ▼ test | |
| testLyap.cpp | |
| testRiblets.cpp | |
| tryNSLyap.cpp | |
| trySlicot.cpp |