. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. y(x,t) = A cos ax e 2 -a et (44) for t > 0 and -« < x < °° . Le Mehaute and Brebner (1961) and Bakker (1969) give this solution. A non- dimensional diagram of the shoreline evolution of an initially cosine-shaped beach is shown in Figure 0 1 ALONGSHORE DISTANCE (x/L) Figure 23. Shoreline evolution of an initially cosine-shaped beach (a distance of one beach cusp height added to the shoreline position) Sand Discharge from a River Acting as a Point Source 54. If
. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. y(x,t) = A cos ax e 2 -a et (44) for t > 0 and -« < x < °° . Le Mehaute and Brebner (1961) and Bakker (1969) give this solution. A non- dimensional diagram of the shoreline evolution of an initially cosine-shaped beach is shown in Figure 0 1 ALONGSHORE DISTANCE (x/L) Figure 23. Shoreline evolution of an initially cosine-shaped beach (a distance of one beach cusp height added to the shoreline position) Sand Discharge from a River Acting as a Point Source 54. If a river mouth is small in comparison to the area into which it is discharging sand, the discharge may be approximated by a point source. The sand discharge from the river or the strength of the point source is denoted 3 as q and is a function of time. (The units of q_ are m /sec.) A solu- K K tion may be obtained by considering the continuous sand discharge from the river to be the sum of discretely released quantities of sand at consecutive 37. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Larson, Magnus; Hanson, Hans; Kraus, Nicholas C; U. S. Army Engineer Waterways Experiment Station; Coastal Engineering Research Center (U. S. ); United States. Army. Corps of Engineers. [Vicksburg, Miss. : U. S. Army Engineer Waterways Experiment Station ; Springfield, Va. : available from National Technical Information Service]
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