setWaveForcingCoefficients

set forcing values for the wave part of the flow

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Declaration

  setWaveForcingCoefficients(Apbar,Ambar,options)

Parameters

• Apbar Ap ‘mean’ value to relax to
• Ambar Am ‘mean’ value to relax to
• MAp (optional) forcing mask, Ap. 1s at the forced modes, 0s at the unforced modes. Default is MAp = abs(Apbar) > 0
• MAm (optional) forcing mask, Am. 1s at the forced modes, 0s at the unforced modes. Default is MAm = abs(Apbar) > 0
• tauP (optional) relaxation time (default 0)
• tauM (optional) relaxation time (default 0)

Discussion

Forcing takes the following form,

\[\frac{\partial}{\partial t} A_\pm^{klj} = \underbrace{M_{A_\pm}^{klj} \left(\bar{A}_\pm^{klj} - A_\pm^{klj} \right)/ \tau_\pm}_{F_\textrm{force}} + F_\textrm{inertial}^{klj} + F_\textrm{damp}^{klj}\]

where \(M_{A_\pm}^{klj}\) are masks (1s and 0s), \(\bar{A}_\pm^{klj}\) are mean amplitudes, and \(\tau_\pm\) are time scales. If the time scale is set to 0, then the mean amplitudes remain fixed for all time. In that limit, the equations can be written as,

\[\frac{\partial}{\partial t} A_\pm^{klj} = \neg M_{A_\pm}^{klj} \left( F_\textrm{inertial}^{klj} + F_\textrm{damp}^{klj} \right)\]