Figure 1. Aerial view of nearshore at Martin County Beach Park at Bathtub Reef showing three bands of hard bottoms

Figure 2. Ground view of hard bottom (worm rock) at Walton Rocks Beach

Figure 4. Ground view of worm rock on foreshore and upper beach at Bathtub Reef

Hard-Bottom Calculation Capability

Hard-Bottom Algorithm

Figure 6. Definition sketch for algorithm to calculate the effect of hard-bottoms on the profile evolution

Theory and Numerical Implementation

Figfurew 7. Schematic of convergence and divergence cells together with grid for calculating transport rate and profile change

Figure 8. Schematic of the effect of transport corrections downdrift of an exposed hard bottom area

Sample Calculations with the Hard-Bottom Algorithm

Figure 9. Sample calculation with one positive peak and initially between 15 and 25 m

Sample Calculations with the Hard-Bottom Algorithm (cont.) - 9_sbeachr50021

Figurer 10. Sample calculation with one positive and one negative peak and initially exposed HB between 10 and 20 m and 40 and 50 m

Figure 11. Effect of changing the scour attenuation coefficient λhb

Sample Calculations with the Hard-Bottom Algorithm (cont.) - 9_sbeachr50024

Comparisons to Physical Model Results

Data from the German Large Wave Tank

Figure 12. Calculated and measured profiles for the case of Dette and Uliczka (1986)

Figure 12. Calculated and measured profiles for the case of Dette and Uliczka (1986) (cont.)

Scale-Dependence of SBEACH Empirical Coefficients

Scale-Dependence of SBEACH Empirical Coefficients (cont.) - 9_sbeachr50030

Scale-Dependence of SBEACH Empirical Coefficients (cont.) - 9_sbeachr50031

Mid-Scale Experiment Comparisons

Table 1. Tests from Hughes and Fowler (1990) Employed in the Present Study

Figure 13. Calculated and measured Profile waves for Test T03 of Hughes and Fowler (1990)

Mid-Scale Experiment Comparisons (cont.)

Figure 14. Calculated and measured profiles for Test T08 of Huhghes and Fowler (1990)

Figure 15. Calculated and measured profiles for Test T09 of Hughes and Fowler (1990)

Figure 16.Calculated and measured profiles for Test T10 of Hughes and Fowler (1990)

Figure 17. Calculated and measured profiles for Test T11 of Hughes and Fowler (1990)

Concluding Discussion

References - 9_sbeachr50041

References (cont.) - 9_sbeachr50042

References (cont.) - 9_sbeachr50043

Appendix A. Notation

Appendix A. Notation (cont.)

Report Documentation Page - 9_sbeachr50046

9_sbeachr5

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