Advanced Ocean Modelling: Using Open-Source Software
Advanced Ocean Modelling: Using Open-Source Software
Advanced Ocean Modelling: Using Open-Source Software
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44 3 Basics of Nonhydrostatic <strong>Modelling</strong>3.8 Internal Waves3.8.1 TheoryThe density field in a fluid can be expressed by a constant part, a time-independentdepth-variable part, and fluctuations according to:ρ = ρ o + ρ(z) + ρ ′ (x, z, t) (3.49)Analytical solutions of the Navier-Stokes equations uncovering internal gravitywaves can be derived under the assumption that density fluctuations are smallcompared with the depth-variable part; that is, ∣ ∣ ρ′ ∣ ∣
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