1、 COE CERC-87-9 REPORT 4 I 3515789 0593947 210 US Army Corps of Engineers Waterways Experiment Station Technical Report CERC-89-9 April 1996 Coastal Engineering Research Program SBEACH: Numerical Model for Simulating Storm-Induced Beach Change Report 4 Cross-Shore Transport Under Random Waves and Mod
2、el Validation with SUPERTANK and Field Data by Randall A. Wise, S. Jarre11 Smith, WES Magnus Larson, University of Lund Approved For Public Release; Distribution IC Unlimited Prepared for Headquarters, U.S. Army Corps of Engineers Provided by IHSNot for ResaleNo reproduction or networking permitted
3、without license from IHS-,-,-COE CERC-87-9 REPORT 4 m 3515789 0593948 157 m The contents of this report are not to be used for advertising, publication, or promotional purposes. Citation of trade names does not constitute an official endorsement or approval of the use of such commercial products. Pr
4、ovided by IHSNot for ResaleNo reproduction or networking permitted without license from IHS-,-,- COE CERC-89-9 REPORT 4 = 3535789 05939V 093 Coastal Engineering Research Program Technical Report CERC-89-9 April 1996 SBEACH: Numerical Model for Simulating Storm-Induced Beach Change Report 4 Cross-Sho
5、re Transport Under Random Waves and Model Validation with SUPERTANK and Field Data by Randall A. Wise, S. Jarrell Smith U.S. Army Corps of Engineers Waterways Experiment Station 3909 Halls Ferry Road Vicksburg, MS 391 80-61 99 Magnus Larson Department of Water Resources Engineering Lund Institute of
6、 Technology University of Lund Box 11 8, Lund, Sweden S-221 O0 Report 4 of a series Approved for public release; distribution is unlimited Prepared for U.S. Army Corps of Engineers Washington, DC 2031 4-1 O00 Under Work Unit 32530 Provided by IHSNot for ResaleNo reproduction or networking permitted
7、without license from IHS-,-,- COE CERC-89-7 REPORT 4 m 3515789 0593950 805 m Waterways Experiment Station Cataloging-in-Publication Data Wise, Randall A. SBEACH : numerical model for simulating storm-induced beach change. Report 4, Cross-shore transport under random waves and model validation with S
8、UPERTANK and field data / by Randall A. Wise, S. Jarrell Smith, Magnus Larson ; prepared for U.S. Army Corps of Engineers. 266 p. : ill. ; 28 cm. - (Technical report ; CERC-89-9 rept.4) Includes bibliographic references. Report 4 of a series. 1. SBEACH (Computer program) 2. Beach erosion - Mathemati
9、cal models. 3. Sediment transport - Mathematical models. 4. Storm surges - Mathematical models. I. Smith, S. Jarrell. II. Larson, Magnus. 111. United States. Army. Corps of Engineers. IV. U.S. Army Engineer Waterways Experiment Station. V. Coastal Engineering Research Center (U.S. Army Engineer Wate
10、rways Experiment Station) VI. Coastal Engineering Research Program (U.S.) Vil. Title. VIII. Title: Numerical model for simulating storm-induced beach change. IX. Title: Cross-shore transport under random waves and model validation with SUPERTANK and field data. X. Series: Technical report (U.S. Army
11、 Engineer Waterways Experiment Station) ; CERC-89-9 rept.4. TA7 W34 no.CERC-89-9 rept.4 Provided by IHSNot for ResaleNo reproduction or networking permitted without license from IHS-,-,-Contents Preface xxiii 1-Introduction . 1 Overview of SBEACH . 2 Scope of Report . 3 2-Random Wave Model . 5 Model
12、ing Approach and Assumptions . 5 Theoretical Development . 6 Wave height distribution . 6 Governing equations and model formulation . 9 Wave decay over a monotonic profile . 12 Wave decay over a non-monotonic profile 13 Wave Model Validation 15 Model Implementation in SBEACH . 16 Calculation of Wave
13、-Related Parameters 19 3-Cross-Shore Transport Under Random Waves 23 Review of Monochromatic Transport Relationships . 23 Transport direction . 23 Transport under broken waves . 24 Transport under nonbroken waves . 26 Transport in the swash 26 Transport Relationships for Random Waves 27 Transport di
14、rection . 27 Transport under broken waves . 29 Transport under nonbroken waves . 31 Transport in the swash 31 Dune Overwash Algorithm 34 Background of development . 35 Calculation procedure . 36 iii Provided by IHSNot for ResaleNo reproduction or networking permitted without license from IHS-,-,- CO
15、E CERC-87-9 REPORT 4 m 3515789 0593952 b88 m 4-SUPERTANK Case Studies . 41 SUPERTANK Data Set . 41 Measuring Model Performance . 42 Default Simulations 43 Results of default simulations . 44 Summary 56 Calibration . 57 Calibration procedure 57 Results of calibrated simulations . 58 Summary 65 Profil
16、e Evolution . 65 Case PIA . 67 Case P5A . 67 Hannover Laboratory Data . 67 Model performance . 73 Foreshore and dune . 73 Bar and offshore mound 74 Profile evolution . 74 Calibration parameters . 43 Summary of Laboratory Simulation Results . 73 5-Field Case Studies 75 Field Data . 75 Measuring Model
17、 Performance . 76 Volume change 76 Contour recession 77 Landward storm intrusion . 77 General Procedure 77 Default simulations . 77 Model calibration 78 Comparison of default and calibrated simulations . 78 Ocean City. MD . 78 Default simulations . 79 Model calibration . 87 Calibrated simulations .
18、90 Summary . 98 Manasquan and Point Pleasant Beach, NJ 98 Default simulations . 99 Model calibration 105 Calibrated simulations 105 Dewey Beach and Rehoboth Beach, DE . 111 Default simulations . 111 Model calibration 116 Calibrated simulations 118 Summary 109 iv Provided by IHSNot for ResaleNo repro
19、duction or networking permitted without license from IHS-,-,- COE CERC-89-9 REPORT 4 D 3535789 0593953 514 E Summary 122 Debidue Beach and Myrtle Beach. SC 122 Default simulations . 123 Model calibration and calibrated simulations 127 Summary 127 6-Summary and Conclusions . 131 References . 135 Appe
20、ndix A: Simulation Results for SUPERTANK Case Studies Al Random Wave Cases . A9 Monochromatic Wave Cases . A29 Appendix B: Simulation Results for Field Case Studies . B1 Ocean City. MD . B3 B21 B39 Manasquan and Point Pleasant Beach. NJ . Dewey Beach and Rehoboth Beach. DE Debidue Beach and Myrtle B
21、each. SC B55 Appendix C: Notation C1 SF 298 List of Figures Figure 1 . Probability density and distribution function for a Rayleigh distribution : 7 Figure 2 . Calculated and measured rms wave height together with the beach profile for SUPERTANK run A0517A 16 Figure 3 . Calculated rms wave height fo
22、r the random wave model and the Monte-Carlo approach. together with measured wave height and beach profile for DELILAH case 1000 17 Figure 4 . Plot of significant wave conversion factor. fraction of unbroken waves. and significant unbroken wave height as functions of breaking wave height . 20 Figure
23、 5 . Result of default simulation. SUPERTANK case PIA 46 V Provided by IHSNot for ResaleNo reproduction or networking permitted without license from IHS-,-,- COE CERC-89-9 REPORT 4 = 3535789 0593954 450 Figure 6 . Result of default simulation. SUPERTANK case P1E2 . Figure 7 . Result of default simul
24、ation. SUPERTANK case PGA . Figure 8 . Result of default simulation. SUPERTANK case P5A Figure 9 . Result of default simulation. SUPERTANK case P6A Figure 10 . Result of default simulation. SUPERTANK case PAA . Figure 11 . Result of default simulation. SUPERTANK case P9A . Figure 12 . Result of defa
25、ult simulation. SUPERTANK case PDAl Figure 13 . Result of default simulation. SUPERTANK case P7D Figure 14 . Result of default simulation. SUPERTANK case P8A1 . . Figure 15 . Result of default simulation. SUPERTANK case PCA . Figure 16 . Result of default simulation. SUPERTANK case PJA . . Figure 17
26、 . Result of default simulation. SUPERTANK case PJC . Figure 18 . Result of default simulation. SUPERTANK case PKA . Figure 19 . Result of default simulation. SUPERTANK case PKC . Figure 20 . Comparison between results of default and calibrated simulations for SUPERTANK case P5A . Figure 21 . Compar
27、ison between residuals of default and calibrated SUPERTANK simulations Figure 22 . Comparison between RMS error of default and calibrated SUPERTANK simulations Figure 23 . Comparisons of selected default and calculated SUPERTANK profiles . Figure 24 . Result of calibrated simulation. SUPERTANK case
28、P1D . Figure 25 . Result of calibrated simulation. SUPERTANK case PAA . Figure 26 . Comparisons of residuals between default and P5A calibration (monochromatic cases) Figure 27 . Result of simulation of monochromatic calibration. SUPERTANK case PGA . 46 47 48 48 49 49 50 51 52 53 54 54 55 56 58 60 6
29、0 61 63 63 64 66 vi Provided by IHSNot for ResaleNo reproduction or networking permitted without license from IHS-,-,- COE CERC-87-9 REPORT 4 3515789 0593955 397 W Figure 28. Comparisons of residuals between default, P5A calibration; and PGA calibration (monochromatic cases) . . . . . , , . . . . .
30、. . 66 Figure 29. Measured and simulated time-series evolution of SUPERTANK casePlA 68 Figure 30. Residual vs. time for a range of K (transport rate coefficient) values. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 Figure 3 1. Measured and simulated time-series evolution of
31、 SUPERTANK case P5A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70 Figure 32. Result of default simulation of Hannover laboratory data . . . 72 Figure 33. Result of calibrated simulation of Hannover laboratory data 72 Figure 34. Definition of model performance measures at the for
32、eshore. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 Figure 35. Wave height, wave period, and water elevation time-histories for the Halloween 1991 storm, Ocean City, MD , . . . . . . . 80 Figure 36. Wave height, wave period, and water elevation time-histories for the 11 Novemb
33、er 1991 storm, Ocean City, MD . . . . . . 81 Figure 37. Wave height, wave period, and water elevation time-histories for the 4 January 1991 storm, Ocean City, MD . . . . . , . . . 82 Figure 38. Conservation of mass between beach profile surveys for the Halloween storm, Ocean City, MD . . . . . . . .
34、 . . . . . . . . 83 Figure 39. Result of default simulation of the Halloween storm for profile 63, Ocean City, MD . . . . . . . . . . . . . . . . . . . . . 83 Figure 40. Result of default simulation of the Halloween storm for profile 103, Ocean City, MD . . . . . . . . . . . . . . . . . . . . 84 Fig
35、ure 41. Conservation of mass between beach profile surveys for the NJ storm series, Ocean City, MD . . . . . . . , , , . . . . . 85 Figure 42. Result of default simulation of the NJ storm series for profile 45, Ocean City, MD . . . . . , . . . . . . . . . . . . . . . 86 Figure 43. Result of default
36、simulation of the NJ storm series for profile 63, Ocean City, MD . . . . . . . . . . . . . . . . . . . . . . . . . . . , 86 Figure 44. Result of default simulation of the NJ storm series for profile 56, Ocean City, MD . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 Provided by IHSNot for
37、ResaleNo reproduction or networking permitted without license from IHS-,-,-COE CERC-89-9 REPORT 4 3535789 0593956 223 Figure 45. Conservation of mass between beach profile surveys for the OJ storm series, Ocean City, MD . . . . . . . . . . . . . . . 88 Figure 46. Result of default simulation of the
38、OJ storm series for profile 86, Ocean City, MD . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 Figure 47. Result of default simulation of the OJ storm series for profile 81, Ocean City, MD . . . . . . . . . . . . . . . . . . . . . . . . . , , . 89 Figure 48. Results of default and calibra
39、ted simulations of the OJ storm series for profile 81, Ocean City, MD . . . . . . . . . . . . . . . 90 Figure 49. Results of default and calibrated simulations of the Halloween storm for profile 45, Ocean City, MD . . . . . . . . . . . . . . . 91 Figure 50. Comparison of measured and simulated volum
40、e change above NGVD for the Halloween storm, Ocean City, MD . . . . . . , 91 Figure 5 1. Comparison of measured and simulated recession of the 1.5-m contour for the Halloween storm, Ocean City, MD . . . . . . . 92 Figure 52. Comparison of measured and simulated storm intrusion for the Halloween stor
41、m, Ocean City, MD . . . . . . . . . . . . . . . . 93 Figure 53. Results of default and calibrated simulations of the NJ storm series for profile 74, Ocean City, MD . . . . . . . . . . . . . . . 93 Figure 54. Results of default and calibrated simulations of the NJ storm series for profile 45, Ocean C
42、ity, MD . . . . . . . . . . . . . . . 94 Figure 55. Comparison of measured and simulated volume change above NGVD for the NJ storm series, Ocean City, MD . . . . . . . . 94 Figure 56. Comparison of measured and simulated recession of the 2.5-m contour for the NJ storm series, Ocean City, MD . . . .
43、. . . 95 Figure 57. Comparison of measured and simulated storm intrusion for the NJ storm series, Ocean City, MD . . . . . . . . . . . . . . . . . 96 Figure 58. Results of default and calibrated simulations of the OJ storm series for profile 52, Ocean City, MD . . . . . . . . . . . . . . . 96 Figure
44、 59. Comparison of measured and simulated volume change above NGVD for the OJ storm series, Ocean City, MD . . . . . . . . 97 Figure 60. Comparison of measured and simulated recession of the 2.5-m contour for the OJ storm series, Ocean City, MD . . . . . . . 97 viii Provided by IHSNot for ResaleNo r
45、eproduction or networking permitted without license from IHS-,-,- COE CERC-89-9 REPORT 4 3515787 0573757 1bT Figure 61. Figure 62. Figure 63. Figure 64. Figure 65. Figure 66. Figure 67. Figure 68. Figure 69. Figure 70. Figure 7 1. Figure 72. Figure 73. Figure 74. Figure 75. Comparison of measured an
46、d simulated storm intrusion for the OJ storm series, Ocean City, MD . . . . . . . . . . . . . . . . . 98 Wave height, wave period, and water elevation time-histories for the March 1984 storm, Manasquadpoint Pleasant Beach, NJ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 Conserva
47、tion of mass between beach profile surveys for the March 1984 storm, Manasquan, NJ . . . . , , , . , , . . . 101 Result of default simulation of the March 1984 storm for profile M3, Manasquan, NJ . . . . . . . . . . . . . . . . . . . . 102 Result of default simulation of the March 1984 storm for pro
48、file M4, Manasquan, NJ . . . . . . . . . . . . . . . . . . . . 102 Conservation of mass between beach profile surveys for the March 1984 storm, Point Pleasant Beach, NJ . . . . . . . . 103 Result of default simulation of the March 1984 storm for profile P2, Point Pleasant Beach, NJ . . . . . . . . ,
49、 , , , , . . 104 Result of default simulation of the March 1984 storm for profile P5, Point Pleasant Beach, NJ . . . . . . . . . . . . . . . 104 Result of default simulation of the March 1984 storm for profile P7, Point Pleasant Beach, NJ . . . . . . . . . . . . . . . 105 Results of default and calibrated simulations of the March 1984 storm for profile M5, M
