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\contentsline {figure}{\numberline {1.1}{\ignorespaces Figure of the layout of the model\relax }}{3}{figure.caption.3}
\contentsline {figure}{\numberline {1.2}{\ignorespaces Comparison of the numerical solution and the semi-analytical solution for the water depth for zero bed slope ($i_b = 0$).\relax }}{4}{figure.caption.4}
\contentsline {figure}{\numberline {1.3}{\ignorespaces Comparison of the numerical solution and the semi-analytical solution for the water depth for $i_b = 4\rm {x}10^{-4}$ m/m.\relax }}{4}{figure.caption.5}
\contentsline {figure}{\numberline {1.4}{\ignorespaces Figure of the layout of the model.\relax }}{7}{figure.caption.6}
\contentsline {figure}{\numberline {1.5}{\ignorespaces Water depth (top) and difference with semi-analytical solution (bottom) for bedlevtype=1.\relax }}{8}{figure.caption.7}
\contentsline {figure}{\numberline {1.6}{\ignorespaces Water depth (top) and difference with semi-analytical solution (bottom) for bedlevtype=3.\relax }}{8}{figure.caption.8}
\contentsline {figure}{\numberline {1.7}{\ignorespaces Water depth (top) and difference with semi-analytical solution (bottom) for bedlevtype=6.\relax }}{9}{figure.caption.9}
\contentsline {figure}{\numberline {1.8}{\ignorespaces Flow velocity comparison in 1D and 2D for bedlevtype=1.\relax }}{9}{figure.caption.10}
\contentsline {figure}{\numberline {1.9}{\ignorespaces Figure of the layout of the model.\relax }}{12}{figure.caption.11}
\contentsline {figure}{\numberline {1.10}{\ignorespaces Water depth (top) and difference with "uniform depth assumption" (bottom) for bedlevtype=1, upstream forcing: discharge.\relax }}{13}{figure.caption.12}
\contentsline {figure}{\numberline {1.11}{\ignorespaces Water depth (top) and difference with "uniform depth assumption" (bottom) for bedlevtype=3, upstream forcing: discharge.\relax }}{14}{figure.caption.13}
\contentsline {figure}{\numberline {1.12}{\ignorespaces Flow velocity comparison in 1D and 2D for bedlevtype=1, upstream forcing: discharge.\relax }}{15}{figure.caption.14}
\contentsline {figure}{\numberline {1.13}{\ignorespaces Water depth (top) and difference with "uniform depth assumption" (bottom) for bedlevtype=1, upstream forcing: water level (pressure gradient).\relax }}{16}{figure.caption.15}
\contentsline {figure}{\numberline {1.14}{\ignorespaces Water depth (top) and difference with "uniform depth assumption" (bottom) for bedlevtype=3, upstream forcing: water level (pressure gradient).\relax }}{16}{figure.caption.16}
\contentsline {figure}{\numberline {1.15}{\ignorespaces Flow velocity comparison in 1D and 2D for \emph {bedlevtype=1}, upstream forcing: water level (pressure gradient).\relax }}{17}{figure.caption.17}
\contentsline {figure}{\numberline {1.16}{\ignorespaces Flow velocity comparison in 1D and 2D for \emph {bedlevtype=3}, upstream forcing: water level (pressure gradient).\relax }}{18}{figure.caption.18}
\contentsline {figure}{\numberline {1.17}{\ignorespaces Water depth (top) and difference with "uniform depth assumption" (bottom) for bedlevtype=1, upstream forcing: water level (pressure gradient). This includes aspect ratio = 1 for the 2D grid.\relax }}{19}{figure.caption.19}
\contentsline {figure}{\numberline {1.18}{\ignorespaces Figure of the layout of the model.\relax }}{21}{figure.caption.20}
\contentsline {figure}{\numberline {1.19}{\ignorespaces Comparison water levels in the straight channels for 1D and 2D with semi-analytical solution, bedlevtype=1.\relax }}{22}{figure.caption.21}
\contentsline {figure}{\numberline {1.20}{\ignorespaces Comparison water levels in the straight channels for 1D and 2D with semi-analytical solution, bedlevtype=3.\relax }}{23}{figure.caption.22}
\contentsline {figure}{\numberline {1.21}{\ignorespaces Impression of water levels including bends, bedlevtype=1.\relax }}{23}{figure.caption.23}
\contentsline {figure}{\numberline {1.22}{\ignorespaces Comparison of water levels in channels with bends compared to semi-analytical solution of surface profile for straight channel, bedlevtype=1.\relax }}{24}{figure.caption.24}
\contentsline {figure}{\numberline {1.23}{\ignorespaces Figure of the layout of the model.\relax }}{26}{figure.caption.25}
\contentsline {figure}{\numberline {1.24}{\ignorespaces Comparison of water depth for straight channels and channels with a single bend with various grid resolution.\relax }}{26}{figure.caption.26}