LBoW Theory

This Jupyter Book describes the theory and mathematical expressions behind the python package LBoW. The theory is based on linear theory of stratified flow, which can be found in many textbooks [Bai95, Gil82, GH75, Nap02]. The general form of linear theory is derived in Section 1 for the sake of completeness. The dispersion equation and the vertical wave number are discussed in detail in Section 2. Next, Section 3 describes two solutions to linear theory assuming that there is one layer with a uniform background wind speed and buoyancy frequency.

Contents

• 1. Linear theory – General form
• 2. Vertical wave number
• 3. One-Layer Models (1D)
• 4. References