Normalization

Enumerate the supported modal normalization conventions.

Declaration 

classdef Normalization

Overview

Normalization collects the normalization choices used throughout the internal-modes hierarchy. Following Section 2.4 of Early, Lelong, and Smith (2020), the main wave-mode norms are the kConstant norm based on the fixed-\(K\) orthogonality relation and the omegaConstant norm based on the fixed-\(\omega\) relation.

The valid values are:

  • Normalization.kConstant for the manuscript’s \(K\)-constant norm
  • Normalization.omegaConstant for the manuscript’s \(\omega\)-constant norm
  • Normalization.uMax to scale each mode so \(\max F_j = 1\)
  • Normalization.wMax to scale each mode so \(\max G_j = 1\)
  • Normalization.surfacePressure to scale by the surface value of \(F\)
  • Normalization.geostrophic for the near-geostrophic interior mode normalization used by some helper workflows
im = InternalModes(rho, zIn, zOut, latitude);
im.normalization = Normalization.kConstant;

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