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<br />e <br /> <br />: <br /> <br />," <br /> <br />e <br /> <br />. <br />F <br /> <br />. <br /> <br />e <br /> <br />with surveys of various degrees of accuracy can be esti- <br />mated from "Accuracy of Computed Water Surface Pro- <br />files" (U.S. Army Corps of Engineers 1986, 1989). <br /> <br />b. Changes. Visual inspection of a reach must be <br />done 10 identify the nature of the boundary material, <br />vegetation, and human activities. Alluvium is subject 10 <br />scour and deposition with possibly major changes in <br />cross section shape accompanying a major flood event. <br />As gross changes in cross section occur within alluvial <br />streams, roughness also changes as dune patterns change <br />during a flood event. Estimated changes in roughness <br />can be applied 10 a rigid bed model to evaluate the <br />importance of their effect. Prediction of boundary move- <br />ment lies outside the scope of this Chapter; refer to <br />Chapter 7 and EM 1110-2-4000. <br /> <br />c. Micro-geometry. Visual inspection should be <br />used 10. identify the boundary roughness and other char- <br />acteristics, such as potentia! infiltration, of a reach. <br />Infiltration is usually of concern for overland flow; <br />occasionally however, significant water loss (or gain) <br />from a channel will occur in sand, karst, or volcanic <br />geology. Boundary roughness affects the passage of a <br />flood wave. Inspection of the study reach will indicate <br />the nature of the roughness elements: cobbles, boulders, <br />trees, houses, their density and distribution, and variance <br />of roughness with stage and distance down the reach. <br />First approximation values for roughness parameters can <br />be gleaned from past experience with similar roughness <br />elements (Chow 1959, Chapter 5); the drag of trees, and <br />small structures can be estimated from expected veloci- <br />ties, areas of projection normal to the expected flow, and <br />an estimated drag coefficient. Improved values of rough- <br />ness are obtained by comparing computed and observed <br />flows and stages for events of record. <br /> <br />5-5. Controls <br /> <br />a. Hydraulic controls. Hydraulic control sections <br />should be sought out because these are natural reach <br />delimiters. At such a section, there is a unique stage- <br />discharge relation (except for the hysteresis induced by <br />unsteady flow), unaffected by flow conditions down- <br />stream; hence, it is ideal for a gaging station. It is possi- <br />ble that a control is weak; that is, a rising downstream <br />water level can drown the control section and force its <br />effect upon the subject reach. In that case the reach <br />cannot be studied independently of downstream reaches. <br />This possibility can be investigated with steady flow <br />analyses based on projected flood discharges. <br /> <br />EM 1110-2.1416 <br />15 Oct 93 <br /> <br />(1) The issue of downstream control is signifICant to <br />the choice of flood routing method. Influences on water <br />levels within a reach stemming from conditions down- <br />stream (tidal levels, or increased levels due 10 small <br />slope, high roughness, or flow constrictions downstream, <br />for example) preclude application of hydrologic methods. <br />Known water levels (say, tidal) at the downstream end of <br />a reach allow use of hydraulic methods. Otherwise the <br />downstream boundary must be extended until a control <br />(or known level) is encountered. <br /> <br />(2) Downstream from a critical depth control is <br />supercritical flow. If the channel downstream is hydrau- <br />lically steep and suffICiently long to encompass the reach <br />of interest, supercritical flow will persist all the way <br />down the reach. No independent downstream boundary <br />condition is possible, since downstream depth and dis- <br />charge are dictated by the flow in the reach. The correct <br />way of modeling such a flow is with an unsteady flow <br />model. If available models cannot deal with supercritical <br />flow, a diffusion model will yield a reasonable result if <br />water surface elevations are not needed and the stream is <br />not extremely flat. <br /> <br />(3) In most cases, the zone of supercritical flow is <br />relatively short, ending either in a plunge inlo a pool of <br />subcritical flow or joining subcritical flow downstream in <br />a hydraulic jump. In unsteady flow, this jump (called a <br />hydraulic bore) can move about. <br /> <br />b. Friction control. A so-called friction control <br />pertains to a section in a nearly uniform reach, suffi- <br />ciently long 10 insulate the section from downstream <br />backwater. Then, the stage-discharge relation is gov- <br />erned by a condition of normal depth (near normal in the <br />case of unsteady flow). This type of downstream bound- <br />ary condition is well suited for all flood routing tech- <br />niques that recognize downstream boundary influences. <br /> <br />5-6. Boundary Conditions <br /> <br />"Boundary conditions" is a mathematical term which <br />specifies the loading for a particular solution to a set of <br />partial differential equations. In more practical terms, <br />boundary conditions for an unsteady flow model are the <br />combination of flow and stage time series, which when <br />applied to the exterior of the model either duplicates an <br />observed event or generates a hypothetical event such as <br />a design flood, or dam break. For an observed event, the <br />accuracy of the boundary conditions affects the quality of <br />the reproduction. In a similar but less detectable manner <br /> <br />5-5 <br />