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<br /> <br /> <br />EM 1110-2.1416 <br />15 Oct 93 <br /> <br />~O..P'2 I)'.~II) <br /> <br />1..1.11<018 .IV... <br /> <br />.00000 <br /> <br />. <br />. <br /> <br />" <br /> <br />. <br /> <br />. <br />. <br />. <br /> <br />]I ..0 <br /> <br />'" <br /> <br />. <br /> <br />." <br /> <br />", <br /> <br />JA~ PEa HAa ""F. HAY JUIt JUI. ADO .~. oaT "OY DEe <br />:1..7. <br /> <br />IIAVAII'A 0118 .rAGIl <br />IfAV12 co.pur.o aug .rAO& <br />BAV[z COMPUr.O aoo FLUlI' <br /> <br />Flg....5-17. V.rification of the illinois Riv.r mod.1 .geinat 1974 obs.rved dat. <br /> <br />hydrograph for a reach subject to a given inflow hydro- <br />graph at its upstream end, the hydraulic methods compute <br />water surface elevations and discharges at a sequence of <br />stations in the interior of the reach. The desired hydro- <br />graph is computed along with all interior hydrographs, <br />and stages in the reach are routinely determined as part <br />of the solution. In another example, the calculated <br />advance of a darn-break flood wave is a by-product of <br />calcutations of flow conditions in the interior of the <br />wave. <br /> <br />(b) In the limit, as the number of distance steps <br />increases indefmitely, while the size of each is <br />correspondingly reduced, the governing physical prin- <br />ciples lead to partial differential equations in distance <br />along the channel and time. The dependent variables are <br />the time dependent proftles of depth and discharge (or <br /> <br />5-22 <br /> <br />depth and discharge hydrographs at all stations in the <br />reach). These partial differential equations are generally <br />solved numerically, algebraically, in finite-sized distance, <br />and time steps with the aid of high-speed electronic <br />computers. <br /> <br />(7) The hydrologic techniques are often easi,er to <br />. apply than the hydraulic techniques and are usually asso- <br />ciated with quicker, less troublesome, computations. <br />Hydraulic methods require a description of the geometry <br />and roughness of the reach usually defmed by cross <br />sections and reach lengths. Those hydrologic methods <br />which use past flood hydro graph records to estimate the <br />response of the reach bypass such detailed analysis of the <br />physical characteristics of the reach; the lumped effect of <br />its physical characteristics is assumed to be incorporated <br /> <br />. <br /> <br />. <br /> <br />~ <br /> <br />. <br /> <br />.. <br /> <br />e <br /> <br />"; <br /> <br />. <br />. <br /> <br />e <br />