WVNonlinearFlux

3D nonlinear flux for Boussinesq flow, appropriate for numerical modeling

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Declaration

WVNonlinearFlux < WVNonlinearFluxOperation

Overview

Computes the nonlinear flux for a Boussinesq model, and has options for anti-aliasing and damping appropriate for running a numerical model. This is not the simplest implementation, but instead adds some complexity in favor of speed. The BoussinesqSpatial class shows a simple implementation.

The damping is a simple Laplacian, but with a spectral vanishing viscosity (SVV) operator applied that prevents any damping below a cutoff wavenumber. The SVV operator adjusts the wavenumbers being damped depending on whether anti-aliasing is applied.

This is most often used when initializing a model, e.g.,

  model = WVModel(wvt,nonlinearFlux=WVNonlinearFlux(wvt,uv_damp=wvt.uvMax));

Topics

• Computation
  • compute the promised variable
• Equality
  • isequal check for equality with another nonlinear flux operation
• Initialization
  • nonlinearFluxFromFile initialize a nonlinear flux operation from NetCDF file
  • nonlinearFluxWithResolutionOfTransform create a new nonlinear flux operation with double the resolution
• Write to file
  • writeToFile write information about the nonlinear flux operation to file
• Other
  • WVNonlinearFlux initialize the WVNonlinearFlux nonlinear flux
  • beta
  • betaA0
  • buildDampingOperator
  • dLnN2
  • damp
  • dampingTimeScale
  • k_damp wavenumber at which the significant scale damping starts.
  • k_no_damp wavenumber below which there is zero damping
  • nu_xy
  • nu_z
  • r
  • spatialFlux a subclass can override this, and then modify the spatial
  • uv_damp
  • wvt

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