In oceans, submesoscale motions (horizontal scales 0.1-10 km; McWilliams, 2016) can cause convergence and have significant vertical velocities within structures such as fronts when surface divergence, 𝐴𝐴 𝐴𝐴 , and vertical vorticity, 𝐴𝐴 𝐴𝐴 , have larger magnitudes than the Coriolis frequency, f, that is, | 𝐴𝐴 𝐴𝐴 /f| ≥ 1 and | 𝐴𝐴 𝐴𝐴 /f| ≥ 1 (Mahadevan & Tandon, 2006). Fronts are elongated in one direction and have a narrow width (McWilliams, 2021). In coastal waters, oceanic fronts were observed in regions with prominent upwelling or along the edges of high-discharge river plumes (