. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. If a dimensionless quantity yL is introduced, the solution may be displayed efficiently in dimensionless form (Figure 44). For large values of y » Equa- tion 106 approaches Equation 64, which is valid for a jetty and constant oblique breaking wave alongshore: distance (*/b) Figure 44. Shoreline evolution behind a jetty with exponential variation in breaking wave angle (a = rad , vL = 1) m 91. The solution obtained for a variable breaking wave angle over- estimates the r
. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. If a dimensionless quantity yL is introduced, the solution may be displayed efficiently in dimensionless form (Figure 44). For large values of y » Equa- tion 106 approaches Equation 64, which is valid for a jetty and constant oblique breaking wave alongshore: distance (*/b) Figure 44. Shoreline evolution behind a jetty with exponential variation in breaking wave angle (a = rad , vL = 1) m 91. The solution obtained for a variable breaking wave angle over- estimates the rate of erosion behind the jetty since it is assumed that the amplitude of the longshore sand transport rate is everywhere the same (and thus that the wave height, in principle, is constant). In reality, diffrac- tion reduces the wave height in the shadow region and, accordingly, the ampli- tude of the longshore sand transport rate there. Despite this reduction, Equations 103 and 104 provide a better description of the actual situation than the commonly used solution (Equation 64) for which maximum erosion will always appear immediately adjacent to the jetty or long groin. 70. 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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