MATHEMATICAL MODELING OF THREE-DIMENSIONAL COASTAL CURRENTS 

 AND SEDIMENT DISPERSION 



TABLE OF CONTENTS 



Page 



PREFACE 1 



LIST OF FIGURES v 



LIST OF TABLES xii 



LIST OF SYMBOLS xiii 



CONVERSION FACTORS, U.S. CUSTOMARY TO METRIC (SI) UNITS 



OF MEASUREMENTS xix 



INTRODUCTION 1 



1.1 Coastal Currents and Sediment Transport 1 



1.2 Coastal Ecosystem 2 



1.3 Past Modeling Studies 4 



1.4 The Mississippi Sound 5 



1.5 Purpose and Scope of the Present Study 7 



HYDRODYNAMIC MODEL 11 



2.1 A Review 11 



2.2 Basic Equations and Boundary Conditions 11 



2.3 Time Scales and Dimensionless Parameters 26 



2.4 Vertical Grid Resolution 26 



2.5 Lateral Grid Resolution 29 



2.6 Grid Alignment 31 



2.7 Dimensionless Equations and Boundary Conditions 



in Transformed Coordinates 31 



2.8 External Mode 37 



2.9 Internal Mode 40 



NUMERICAL ALGORITHMS 44 



3.1 External Mode Algorithm 44 



3.2 Internal Mode Algorithm 45 



3.3 Flow Chart 47 



3.4 General Numerical Consideration 47 



