fluidsim.solvers.ns3d.output.spect_energy_budget

SEB (`fluidsim.solvers.ns3d.strat.output.spect_energy_budget`)

class fluidsim.solvers.ns3d.output.spect_energy_budget.SpectralEnergyBudgetNS3D(output)[source]

Spectral energy budget of ns3d.strat.

Notes

\[d_t E_K(\textbf{k}) = T_K(\textbf{k}) - D_K(\textbf{k}),\]

where \(E_K(\textbf{k}) = |\hat{\textbf{v}}|^2/2\).

The transfer term is

\[T_K(\textbf{k}) = \Re \left(\hat{\textbf{v}}^* \cdot P_\perp\widehat{\textbf{v} \times \boldsymbol{\omega}} \right).\]

By definition, we have to have \(\sum T_K(\textbf{k}) = 0\).

The dissipative term is

\[D_K(\textbf{k}) = f_{dK}(\textbf{k}) E_K(\textbf{k}),\]

where \(f_{dK}(\textbf{k})\) is the dissipation frequency depending of the wavenumber and the viscous coefficients.

Classes

Spectral energy budget of ns3d.strat.