. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. 1 ALONGSHORE DISTANCE (x/y0) Figure 9. Shoreline evolution when sand is supplied at x = 0 to maintain a specific beach width y r o diffraction and refraction, but this realistic situation is not described by the linearized equation. Consequently, the linearization procedure artifi- cially increases the erosion of the fill, implying that the analytical solu- tion overestimates the speed of erosion. The error is, therefore, on the con- servative side. This problem is only an
. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. 1 ALONGSHORE DISTANCE (x/y0) Figure 9. Shoreline evolution when sand is supplied at x = 0 to maintain a specific beach width y r o diffraction and refraction, but this realistic situation is not described by the linearized equation. Consequently, the linearization procedure artifi- cially increases the erosion of the fill, implying that the analytical solu- tion overestimates the speed of erosion. The error is, therefore, on the con- servative side. This problem is only an apparent one since it is a practical impossibility to create a perfectly rectangular fill in the field. Semi-Infinite Rectangular Beach Fill 38, The initial conditions for a semi-infinite rectangular beach fill y(x,0) = x 0 (28) Walton and Chiu (1979) give the following solution: 23. 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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