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<br />13 <br /> <br />So = bed slope <br />Sf = friction slope <br />D,t = dynamic contribution of lateral inflow (q,t VRJA9) <br /> <br />To solve these three equations for the three primary unknowns, Q, y, and Ad' <br />other variables are expressed in terms of Q, y, and Ad. <br /> <br />4. Sediment-Transport Function: <br />The sediment discharge per unit width, qs' is expressed by <br /> <br />Vb c <br />qs = a y <br /> <br />....(2-18) <br /> <br />where <br /> <br />V = mean flow velocity <br />y = f1 ow depth <br />a, b, and c = coefficients determined by means of regression analysis <br /> <br />The regression coefficients are determined either from field data or by <br />generating data using the Meyer-Peter and Muller formula and Einstein's bed- <br />load function for bed-load and suspended-load discharges, respectively. <br />Changes in bed-material composition are not taken into account. <br /> <br />5. Numerical Scheme: <br /> <br />UUWSR first solves (2-15) and (2-17) by a four-point, implicit, finite- <br />difference scheme (unconditionally stable) assuming a fixed bed. The <br />resulting flow information is used to compute the sediment-transport capacity <br />by means of (2-18). Computed sediment discharges then are app1 ied to the <br />sediment-conti nuity equati on, (2-16), to estimate the change in the cross- <br />section area. Equation (2-16) is solved using an explicit, finite-difference <br />approximation. Therefore, UUWSR is an uncoupled, unsteady, water- and <br />sediment-routing model. <br />