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A study of well-balanced finite volume methods and refinement indicators for the shallow water equations.

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Academic year: 2017

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Figure 2.1: An illustration of the hydrostatic reconstruction at an interface between two cellsfor stage w , height h , and bed elevation z
Figure 2.2: An occurrence of negative water height when the minmod limiter is used. Here,the free surface is shown by the dashed line and the water bed by the continuous line.
Figure 2.5: Piece-wise continuous linear approximation of bed z at wet/dry interface. Freesurface (dashed line)
Figure 2.8: Simulation results at time t = T using Method D. Unphysical velocity occurs atdry areas.
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