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This manual provides users of the Finite-Element Surface-Water Modeling System: Two-Dimensional Flow in the Horizontal Plane (FESWMS-2DH) the information necessary to use new additions and modifications to the original flow model, for which a users manual was published by Froehlich in 1989. This information includes descriptions of the basic logic of the changes, the necessary input data, and the output generated by the modeling system. The modified or added features described in this manual include element source/sink terms for precipitation, evapotranspiration, and ground-water inflow, or outflow, or both; linearized friction in the momentum equations; sheltering coefficients added to surface-shear-stress terms to account for the reduced effect of wind due to emergent vegetation; seepage through and under levee segments; water-surface elevations outside the model domain for use with culverts, weir segments, and levee segments; modification with time of turbulence-model coefficients, friction coefficients, wind, vegetation characteristics, precipitation rate, evapotranspiration rate, ground-water-seepage parameters, ground-water heads, and boundary conditions, including total flows and water-surface elevations at specified cross sections, and external water-surface elevations at culverts, weir segments, and levee segments; optional formats for element incidence lists; and optional formats for the flowdata file. Introduction This manual provides users of the Finite-Element Surface-Water Modeling System: Two-Dimensional Flow in the Horizontal Plane (FESWMS2DH) the information necessary to use new additions and modifications to the original flow model. The original users manual (Froehlich, 1989) describes three related FORTRAN programs: DINMOD, the data-input module; FLOMOD, the solution module; and ANOMOD, the output-analysis module. DINMOD is used to prepare a finite-element network, FLOMOD is used to obtain the water depth and depth-averaged flow velocity at the nodes of a finite-element network, and ANOMOD is used to create plots of model results. The information presented in this manual includes descriptions of the basic logic of the changes made to the original version of FLOMOD, the necessary input data, and the output generated by the solution module. The modified or added features described in this manual include: Element source/sink terms for precipitation, evapotranspiration, and ground-water inflow, or outflow, or both Linearized friction in the momentum equations Sheltering coefficients added to surface-shear-stress terms to account for the reduced effect of wind due to emergent vegetation Seepage through and under levee segments Water-surface elevations outside the model domain for use with culverts, weir segments, and levee segments Modification with time of turbulence-model coefficients, friction coefficients, wind, vegetation characteristics, precipitation rate, evapotranspiration rate, ground-water-seepage parameters, ground-water heads, and boundary conditions, including total flows and water-surface elevations at specified cross sections, and external water-surface elevations at culverts, weir segments, and levee segments Optional formats for element incidence lists Optional formats for the flow-data file Modifications and additions to the flow equations are presented in the addendum to Section 4. This information will help the user understand the new capabilities of the system, how required empirical coefficients are used, and how results are obtained. The addendum to Section 5 describes how new boundary conditions are incorporated into constraint equations at model boundaries. The addendum to Section 6 provides additional information on developing a finite-element network. A complete description of the input data needed to run FLOMOD is given in the addendum to Section 8. The addendum to Section 9 describes modifications to the printed output and the flow-data file. The units of dimensioned parameters and variables are given in the text in terms of length (L), time (T), and mass (M). Equations referenced in the original users manual are written with a hyphen (for example, 4-14); those in this report are written with a period (for example, 4.14). Addendum to Section 4. Governing Equations The two-dimensional, depth-aver aged surf ace-water-flow equations are modified by the addition of source/sink terms for precipitation, evapotranspiration, and ground-water inflow, or outflow, or both. The capability to use linearized bed-shear-stress terms is added, and the surface-shear-stress terms are modified to treat water-surface sheltering by emergent vegetation. Equations used to model one-dimensional flow through and under permeable levees are described. Depth-Aver aged Flow Equations The depth-averaged flow equations consist of equations for the conservation of momentum in the xand ^/-directions, equations 4-2 and 4-3 in the orginal manual (Proehlich, 1989), and an equation for conservation of mass, equation 4-4 in the original manual. Bed Shear Stress Linear bed-friction terms in the momentum equations are useful in testing models and in initiating simulations. The directional components, r\ and r^ of the bed shear stress (M/LT2 ), given in the original manual by equations 4-9 and 4-10, are replaced by

Finite-element surface-water modeling system; two-dimensional flow in the horizontal plane, addendum to the users manual