\BOOKMARK [2][]{Outline0.1}{Introduction}{}% 1 \BOOKMARK [3][]{Outline0.1.1.2}{Of waves and jumps}{Outline0.1}% 2 \BOOKMARK [3][]{Outline0.1.2.8}{Brief description of the hierarchy of free surface models}{Outline0.1}% 3 \BOOKMARK [2][]{Outline0.2}{The hierarchy of layerwise models}{}% 4 \BOOKMARK [3][]{Outline0.2.1.13}{Derivation}{Outline0.2}% 5 \BOOKMARK [3][]{Outline0.2.2.24}{Dispersion relations}{Outline0.2}% 6 \BOOKMARK [2][]{Outline0.3}{Entropy-satisfying numerical resolution}{}% 7 \BOOKMARK [3][]{Outline0.3.1.26}{Numerical scheme}{Outline0.3}% 8 \BOOKMARK [3][]{Outline0.3.2.32}{Numerical results}{Outline0.3}% 9