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<br />. <br /> <br />Chapter <br /> <br />I <br /> <br />, <br /> <br />II <br /> <br />III <br /> <br />, <br /> <br />. <br /> <br />IV <br /> <br />V <br /> <br />, <br /> <br />. <br /> <br />TABLE OF CONTENTS <br /> <br />LIST OF TABLES <br /> <br />LIST OF FIGURES <br /> <br />INTRODUCTION. . <br />A. Problem. <br />B. Objective <br />C. Need for the Method. <br />D. Limitations. <br /> <br />BACKGROUND. . . . . <br />A. Methods of Computing Water Surface <br />Profiles. .... <br />B. Computerized Solutions for Water Surface <br />Profiles . . . . . . . <br />C. Evaluation of Existing Programs. . . . . <br /> <br />PROFILES OF NEAR-CRITICAL FLOWS <br />PROGRAM~pR4FILE . . . . . . . . . . . <br />A. Development of Method. <br />B. Operation of Program PR~FILE <br />C. Discharge Parameters at Section <br />Control. <br /> <br />DATA AND RESULTS. <br />A. Comparison with Observed Flows <br />B. Utility of the Program for Modeling. <br /> <br />CONCLUSIONS AND RECOMMENDATIONS <br />A. Applicability of the Program to the <br />Problem. . . . . . . . . . . <br />B. Recommendations for Further Study. <br /> <br />BIBLIOGRAPHY. <br /> <br />APPENDIX A <br />Use of Program Profile <br /> <br />APPENDIX B . . . . <br />Program Listing. <br /> <br />APPENDIX C. . . . . . <br />List of Program Variables <br /> <br />APPENDIX D. . . . . <br />Sample Input and Outputs <br /> <br />vi <br /> <br />Page <br /> <br />. viii <br /> <br />ix <br /> <br />1 <br />1 <br />3 <br />4 <br />5 <br /> <br />7 <br /> <br />7 <br /> <br />17 <br />23 <br /> <br />27 <br />27 <br />29 <br /> <br />30 <br /> <br />36 <br />36 <br />39 <br /> <br />42 <br /> <br />42 <br />44 <br /> <br />46 <br /> <br />47 <br />48 <br /> <br />61 <br />62 <br /> <br />69 <br />70 <br /> <br />72 <br />73 <br />