Nonlinear dispersion in wave-current interactions

Figure 1.  Synthetic Aperture Radar (SAR) Image of internal-wave signatures near Gibraltar Strait. Taken from https://earth.esa.int/web/guest/missions/esa-operational-eo-missions/ers/instruments/sar/applications/tropical/-/asset_publisher/tZ7pAG6SCnM8/content/oceanic-internal-waves

Figure 2.  Synthetic Aperture Radar (SAR) Image of internal-wave signatures on the South China Sea

Figure 3.  Custom colour map for the upcoming $ |u|^2 $ plots

Figure 4.  Locations of the 1D profiles of $ |\boldsymbol{{u}}| $ and $ \overline{D} $ in the 2D numerical simulations

Figure 5.  Evolution of $ |u|^2 $ with the "plate" initial condition with $ \alpha = w_0 $

Figure 6.  Evolution of $ \overline{D}-\overline{b} $ with the "plate" initial condition with $ \alpha = w_0 $

Figure 7.  Evolution of $ |u|^2 $ with the "plate" initial condition with $ \alpha = w_0/8 $

Figure 8.  Evolution of $ \overline{D}-\overline{b} $ with the "plate" initial condition with $ \alpha = w_0/8 $

Figure 9.  Evolution of $|u|^2$ with the "skew" initial condition with $\alpha = w_0$

Figure 10.  Evolution of $\overline{D}-\overline{b}$ with the "skew" initial condition with $\alpha = w_0$

Figure 11.  Evolution of $|u|^2$ with the "skew" initial condition with $\alpha = w_0/8$

Figure 12.  Evolution of $\overline{D}-\overline{b}$ with the "skew" initial condition with $\alpha = w_0/8$

Figure 13.  Evolution of $ |u|^2 $ with the "wedge" initial condition with $ \alpha = w_0 $

Figure 14.  Evolution of $ \overline{D}-\overline{b} $ with the "wedge" initial condition with $ \alpha = w_0 $

Figure 15.  Evolution of |u|² with the "wedge" initial condition with 8α = w₀

Figure 16.  Evolution of $ \overline{D}-\overline{b} $ with the "wedge" initial condition with 8α = w₀

Figure 17.  Evolution of $ |u|^2 $ with the "parallel" initial condition with $ \alpha = w_0 $

Figure 18.  Evolution of $ \overline{D}-\overline{b} $ with the "parallel" initial condition with $ \alpha = w_0 $

Figure 19.  Evolution of $ |u|^2 $ with the "parallel" initial condition with $ 8\alpha = w_0 $

Figure 20.  Evolution of $ \overline{D}-\overline{b} $ with the "parallel" initial condition with $ 8\alpha = w_0 $

Figure 21.  Evolution of $ \overline{D}-\overline{b} $ with the "dam break" initial condition with $ \alpha = w_0 $

Figure 22.  Evolution of $ |u|^2 $ with the "dam break" initial condition with $ \alpha = w_0 $

Figure 23.  Evolution of $\overline{D}-\overline{b}$ with the "dam break" initial condition with $8\alpha = w_0$

Figure 24.  Evolution of $|u|^2$ with the "dam break" initial condition with $8\alpha = w_0$

Figure 25.  Evolution of $ \overline{D}-\overline{b} $ with the "dam break" initial condition with $ \alpha = w_0 $ and zero bathymetry

Figure 26.  Evolution of $|u|^2$ with the "dam break" initial condition with $\alpha = w_0$ and zero bathymetry

Figure 27.  Evolution of $ \overline{D}-\overline{b} $ with the "dam break" initial condition with $ 8\alpha = w_0 $

Figure 28.  Evolution of $|u|^2$ with the "dam break" initial condition with $8\alpha = w_0$

Figure 29.  Evolution of |u|² with the "dual dam break" initial condition with α = w₀

Figure 30.  Evolution of $ \overline{D}-\overline{b} $ with the "dual dam break" initial condition with α = w₀

Figure 31.  Evolution of |u|² with the "dual dam break" initial condition with 8α = w₀

Figure 32.  Evolution of $ \overline{D}-\overline{b} $ with the "dual dam break" initial condition with 8α = w₀