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<br />EM 1110-2.1416 <br />15 Oct 93 <br /> <br />(2) In the context of two-dimensional modeling for <br />river hydraulics, the study objectives usually require the <br />prediction of velocity or stage. Field measurements of <br />velocity must include the direction as well as the magni- <br />tude. Most two-dimensional models used for river <br />hydraulics compute vertically averaged velocities; there- <br />fore, the field data must be converted to vertical averages <br />for proper model-prototype comparisons. For most situa- <br />tions, it is adequate 10 use the average of the velocities <br />measured at O.2*depth and O.8*depth (French 1985). <br />Depth must also be obtained at the locations of the <br />velocity measurements. "Depth.. alone is of limited <br />value; one should also have the corresponding water <br />surface or bed surface elevation. Similarly, to calibrate a <br />model for stage prediction, one should have field mea- <br />surements of stage and the variation of stage with time at <br />many locations within the study area. Also, the dis- <br />charge(s) at the time(s) of those measurements must be <br />known. <br /> <br />C. Validation data. Validation data are field obser- <br />vations not used in calibration that are used 10 provide an <br />independent check on model performance (ASCE 1982). <br />The above considerations for calibration data also apply <br />10 validation data. <br /> <br />4-9. Data Development and Model Calibration <br /> <br />a. Geometry. An accurate geometric description of <br />the flow region is a primary requirement. "Accurate" <br />here means that the key flow controlling and conveying <br />features of the study area are appropriately represented in <br />the field data. The engineer should be aware of the <br />origin and veracity of the field data. Ideally, the area of <br />interest is described by a detailed digital terrain model or <br />contour map of adequate resolution for the study needs. <br />Refer 10 EM 1110-2-1003 and "Accuracy of Computed <br />Water Surface Profiles" (1986). Mosl existing model <br />data are, however, in the format of cross sections (HEC- <br />2). Direct use of HEC-2 style data for two-dimensional <br />or one-dimensional unsteady simulations should be tem- <br />pered by the following considerations: (I) the HEC-2 <br />cross sections may not have been chosen to best repre- <br />sent the directinn and distribution of flow, (2) off-channel <br />storage areas (important for dynamic simulations) may <br />have been neglected when surveying the cross sections, <br />and (3) the sections may not be appropriate for the objec- <br />tives of the present study. Therefore, before using an <br />existing HEC-2 (or other one-dimensional steady flow) <br />data set, thoroughly check the data for conformance with <br />the needs of the present study objectives. The use of <br /> <br />4-6 <br /> <br />cross sections 10 develop two-dimensional model input <br />requires that the sections be registered (located) on a <br />topographic map or aerial photograph and the conlours <br />filled in, usually by hand <br /> <br />e <br /> <br />b. Bottom roughness. In most two-dimensional <br />riverine situations, bottom roughness can be described in <br />the same fashion as would be used for a "traditional" <br />one-dimensional (HEC-2) analysis (refer to Chapter 6). <br />Due to the ability of the two-dimensional approach 10 <br />incorporate spatial variation of roughness, aerial photo- <br />graphs or topographic maps can be used to identify <br />regions of uniform roughness, such as clumps of vegeta- <br />tion, changes in bed material or bed forms. As in the <br />one-dimensional approach, the roughness coefficients <br />selected from field inspection (which is essential for <br />successful modeling) will probably need to be modified <br />in the calibration process. Should the calibration process <br />indicate the need for values of coefficients that are out- <br />side the range suggested by good engineering judgment, <br />one should closely inspect the geometric data, flow data, <br />boundary condition specifications, and calibration data. <br />Most often it is flawed geometric data, or the manner in <br />which it is interpreted by the engineer and used by the <br />numerical model that is the cause of a poor simulation. <br /> <br />. <br />.. <br /> <br />. <br />. <br />. <br /> <br />c. Turbulent exchange coefficients. Two-dimen- <br />sional flow models require turbulent exchange coeffi- <br />cients, often called eddy diffusivities, which represent the <br />internal shear forces created by the transfer of momen- <br />tum between faster and slower regions of flow by means <br />of turbulent mixing. This can actually be observed in <br />most rivers by watching surface boils and eddies move <br />about in the flow. These coefficients reflect, somewhat, <br />the energy losses that are described by the expansion and <br />contraction coefficients in one-dimensional models. The <br />values of these coefficients cannot be directly measured <br />nor observed. Calibrated expansion-contraction coeffi- <br />cients cannot be directly translated into values for the <br />turbulent exchange coefficients. Guidance on selection <br />of values for the turbulent exchange coefficients is pro- <br />vided in the documentation for two-dimensional models <br />(e.g., TABS-2, Thomas and McAnally 1985). These <br />coefficients primarily effect velocity distributions and <br />should be calibrated based on velocity distributions mea- <br />sured in the field. If measurements are not available, <br />information from pholographs (both ground and aerial) of <br />the flow or sketches of observed flow patterns can be of <br />use. Some flow situations such as a jet entering a still <br />body of water are momentum dominated. In these cases, <br />the exchange coefficients are very important. Most open <br /> <br />e <br /> <br />. <br />. <br /> <br />.. <br /> <br />e <br />