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Analytical solutions for the free surface hydrostatic Euler equations

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Fig. 2.1 . Notations: water height H(x,y,t), free surface η(x,y,t) and bottom z b (x,y).
Fig. 5.1 . Surface level of the continuous solution and (a) horizontal velocity, (b) vertical velocity, (c) velocity norm, (d) velocity field (arrow).
Fig. 5.2 . Surface level of the solution with shock and (a) horizontal velocity, (b) vertical velocity and (c) velocity norm, (d) velocity field (arrow).
Fig. 5.3 . Surface level of the solution with partially free surface (a) horizontal velocity u, (b) vertical velocity w and (c) velocity norm (with arrows).
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