Spectral Integral Suite in C++
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Files | |
file | Ex_10.cpp [code] |
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, \([\partial_y u (\cdot,t)](y = \pm 1) = 0\). | |
file | Ex_11.cpp [code] |
Solving for the most amplified structures from the linearized equations governing plane Poiseuille flow of a Newtonian fluid. | |
file | Ex_12.cpp [code] |
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. | |
file | Ex_13.cpp [code] |
Solving for the principal singular values of an Oldroyd-B fluid. See Figure 8 in [3]. | |