“…where H(x,y) is the bottom terrain, η(x,y,t) is the sea level fluctuation from the bottom (z = −H) to the sea surface (z = η), and σ ranges from −1 to 0. In the present work, the model has40 vertical sigma levels: [0, −0.0009, −0.0018, −0.0037, −0.0074, −0.0147, −0.0294, −0.0588, −0.0882, −0.1176, −0.1471, −0.1765, −0.2059, −0.2353, −0.2647, −0.2941, −0.3235, −0.3529, −0.3824, −0.4118, −0.4412, −0.4706, −0.5, −0.5294, −0.5588, −0.6176, −0.6471, −0.6765, −0.7059, −0.7353, −0.7647, −0.7941, −0.8235, −0.8529, −0.8824, −0.9118, −0.9412, −0.9706, −1]. The basic equations in the σ-coordinate system can be expressed as follows: , v, and ω represent the velocity under the σ-coordinates.…”