. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. GROIN. Figure 28. Definition sketch for the case of a groin 62. A groin interrupts the transport of sand alongshore, causing an accumulation at the updrift side and erosion at the downdrift side. The solu- tion describing the accumulation part is y(x,t) = 2 tan a /et ierfc 2/et (63) for t > 0 and x > 0 The solution can also be written as follows: y(x,t) = 2 tan a et -x Met - 2 erfc 2/eT (64) This expression is obtained by integrating the function ierfc by parts. A nondimensio
. Analytical solutions of the one-line model of shoreline change. Coast changes; Beach erosion; Shore protection. GROIN. Figure 28. Definition sketch for the case of a groin 62. A groin interrupts the transport of sand alongshore, causing an accumulation at the updrift side and erosion at the downdrift side. The solu- tion describing the accumulation part is y(x,t) = 2 tan a /et ierfc 2/et (63) for t > 0 and x > 0 The solution can also be written as follows: y(x,t) = 2 tan a et -x Met - 2 erfc 2/eT (64) This expression is obtained by integrating the function ierfc by parts. A nondimensional plot of the shoreline evolution updrift of a groin is shown in Figure 29. 63. The shoreline position has been normalized with a characteristic length (the groin length) and the tangent of the incident breaking wave angle. 47. 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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