# 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.