WVTransformConstantStratification

Wave-vortex transformation that assumes constant stratification

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Declaration

classdef WVTransformConstantStratification < WVTransform

Overview

To initialization an instance of the WVTransformConstantStratification class you must specific the stratification and latitude, otherwise defaults will be assumed for you.

  N0 = 3*2*pi/3600;
  wvt = WVTransformConstantStratification([100e3, 100e3, 1300],[64, 64, 65], N0=N0,latitude=30);

Topics

• Initialization
  • WVTransformConstantStratification initialze a wave-vortex transform with constant stratification
• Stratification
  • rho_nm \(\rho_\textrm{nm}(z)\), no-motion density
  • N2 \(N^2(z)\), squared buoyancy frequency of the no-motion density, \(N^2\equiv - \frac{g}{\rho_0} \frac{\partial \rho_\textrm{nm}}{\partial z}\)
  • dLnN2 \(\frac{\partial \ln N^2}{\partial z}\), vertical variation of the log of the squared buoyancy frequency
  • verticalModes instance of the InternalModes class
  • effectiveVerticalGridResolution returns the effective vertical grid resolution in meters
  • Vertical modes
    • FMatrix transformation matrix \(F_g\)
    • FinvMatrix transformation matrix \(F_g^{-1}\)
    • GMatrix transformation matrix \(G_g\)
    • GinvMatrix transformation matrix \(G_g^{-1}\)
  • Validation
    • isDensityInValidRange checks if the density field is a valid adiabatic re-arrangement of the base state
• Initial conditions
  • Geostrophic Motions
    • initWithGeostrophicStreamfunction initialize with a geostrophic streamfunction
    • setGeostrophicStreamfunction set a geostrophic streamfunction
    • addGeostrophicStreamfunction add a geostrophic streamfunction to existing geostrophic motions
    • setGeostrophicModes set amplitudes of the given geostrophic modes
    • addGeostrophicModes add amplitudes of the given geostrophic modes
    • removeAllGeostrophicMotions remove all geostrophic motions
  • Inertial Oscillations
    • addInertialMotions add inertial motions to existing inertial motions
    • initWithInertialMotions initialize with inertial motions
    • removeAllInertialMotions remove all inertial motions
    • setInertialMotions set inertial motions
  • Mean density anomaly
    • addMeanDensityAnomaly add inertial motions to existing inertial motions
    • initWithMeanDensityAnomaly initialize with inertial motions
    • removeAllMeanDensityAnomaly remove all mean density anomalies
    • setMeanDensityAnomaly set inertial motions
  • Waves
    • addWaveModes add amplitudes of the given wave modes
    • initWithHorizontalWaveNumberSpectrum initialize with a Alternative Interal Wave Spectrum in
    • initWithWaveModes initialize with the given wave modes
    • removeAllWaves removes all wave from the model, including inertial oscillations
    • setWaveModes set amplitudes of the given wave modes
• Operations
  • Differentiation
    • diffZF differentiates a variable of (x,y,z) by projecting onto the F-modes, differentiating, and transforming back to (x,y,z)
    • diffZG differentiates a variable of (x,y,z) by projecting onto the G-modes, differentiating, and transforming back to (x,y,z)
• Primary flow components
  • geostrophicComponent returns the geostrophic flow component
  • waveComponent returns the internal gravity wave flow component
  • inertialComponent returns the inertial oscillation flow component
  • mdaComponent returns the mean density anomaly component
• Energetics of flow components
  • geostrophicEnergy total energy, geostrophic
  • waveEnergy total energy, waves
  • inertialEnergy total energy, inertial oscillations
  • mdaEnergy total energy, mean density anomaly
• Energetics
  • geostrophicKineticEnergy kinetic energy of the geostrophic flow
  • geostrophicPotentialEnergy potential energy of the geostrophic flow
• Other
  • CosineTransformBackMatrix Discrete Cosine Transform (DCT-I) matrix
  • CosineTransformForwardMatrix Discrete Cosine Transform (DCT-I) matrix
  • N0
  • N2AtDepth
  • N2Function
  • PlaceParticlesOnIsopycnal MAS 1/10/18 - added intext (‘int’ or ‘both’) to give option of using int vs. int+ext fields for rho_prime
  • RhoBarAtDepth
  • SineTransformBackMatrix CosineTransformBackMatrix Discrete Cosine Transform (DCT-I) matrix
  • SineTransformForwardMatrix CosineTransformForwardMatrix Discrete Cosine Transform (DCT-I) matrix
  • buildVerticalModeProjectionOperators We renormalization the transformation matrices to directly
  • dLnN2Function
  • initWithAlternativeSpectrum
  • initWithFrequencySpectrum
  • initWithGMSpectrum
  • maxFg
  • maxFw
  • rhoFunction function handles
  • throwErrorIfDensityViolation checks if the proposed coefficients are a valid adiabatic re-arrangement of the base state
  • transformFromSpatialDomainWithF
  • transformFromSpatialDomainWithG

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