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1 1.0 Introduction  2 1.1 Purpose and Scope  2 1.2 Look-Up Tables  3 1.2.1 Look-Up Tables for Channel Cross Sections 3 1.2.2 Look-Up Tables for Hydraulic Control Structures  3 1.2.3 Table Look-Up Procedure  4 1.3 Procedure for Computation of Function Tables for Use in Simulation of Unsteady Flow Using the Full Equations Model 4 2.0 Table Types Generated in the Full Equations Utilities Model 5 2.1 One-Dimensional Function Tables 5 2.1.1 Type 2 Tables 5 2.1.2 Cross-Section Function Tables  6 2.2 Two-Dimensional Function Tables 7 2.3 Three-Dimensional Function Tables 11 3.0 Approximation of Hydraulic Characteristics of Open Channels  12 3.1 Characteristics of a Cross Section for a Branch 12 3.1.1 Static Characteristics and Simple Dynamic Characteristics  13 3.1.2 Improved Flux Coefficients and Critical Flow  16 3.1.3 Correction Coefficients for Channel Curvilinearity  22 3.1.4 Interpolation of Cross Sections  28 3.2 Channel Expansions and Contractions 28 3.2.1 Governing Equations for Expansions and Contractions  30 3.2.2 Expansion-Contraction Losses  30 3.2.3 Mean Conveyance for the Expansion or Contraction  31 3.2.4 Outline of Solution Process for Expansions and Contractions  32 3.3 Channel Ratings for Bypass Channels  32 3.3.1 Governing Equation for Channel Ratings  33 3.3.2 Outline of Solution Process for Channel Ratings  33 4.0 Approximation of Hydraulic Characteristics of Control Structures 35 4.1 Bridges 35 4.2 Culverts 36 4.2.1 Additional Flow Types  37 4.2.2 General Routing Methodology for Culvert Flow  39 4.2.3 Routing Methodology for Culvert-Flow Type 5  46 4.2.4 Transitions Between Flow Types 53 4.2.5 Departure-Reach Losses  55 4.2.6 Outline of Solution Process for Culvert Flow 57 4.2.7 Momentum Flux for Flow Over the Roadway  59 4.2.8 Special Losses  60 4.2.9 Summary of the CULVERT Command 61 4.3 Embankments and Weirs  62 4.4 Closed Conduits  64 4.5 Generalized Ritter Dam-Break Solution 65 4.6 Critical-Flow Function  66 4.7 Floodway Delineation 67 4.8 Underflow Gates 70 4.8.1 Free-Orifice Flow  73

water-resources investigations report

Full equations utilities (FEQUTL) model for the approximation of hydraulic characteristics of open channels and control structures during unsteady flow