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<br />surface profile, along the channel. <br /> <br /> <br />+~Ab <br />, <br /> <br /> <br />z <br /> <br />\1 <br /> <br />y <br /> <br />Fig. 3 oorrections of bed profile for aggradation and degradation. <br />They are made in such ways that water-surface profile or <br />power expenditure moves toward uniformity. <br /> <br />Eq. 11 may only be used in the absence of channel curvature. The <br />change in bed area at a cross section in a curved reach is <br /> <br />~ = -=-Jr c.z dr <br />rf <br /> <br />(12) <br /> <br />where rf is the radius of curvature at the discharge centerline or thalweg. <br />Because of the curvature, adjacent cross sections are not parallel and the <br />spacing As between them varies across the width. Therefore, the distribu- <br />tion of Az given in Eq. 11 needs to be weighted according to the r-coordina- <br />te with respect to the thalweg radius, rf/r, i.e. <br /> <br />('fa - rfC) n/r <br />/:..z = ----------- A AlJ <br />1: ~o - rfC) n/r Ar <br />B <br /> <br />(13) <br /> <br />x. SIKlLATICR (J!' (]WI;BS DOE '1'0 CORVA'l'ORE JSJrJrJ!lC!' <br /> <br />Simulation of curvature-induced scour and deposition is based upon the <br />flow curvature for which the streamwise variation is given by Eq. 4. The <br />major features of transverse sediment transport and changes in bed <br />topography are described below. <br /> <br />20 <br />