Please use this identifier to cite or link to this item: https://hdl.handle.net/11681/10737
Title: Flood routing procedure for the lower Ohio River
Authors: Johnson, Billy H.
Senter, Paul K.
Keywords: Flood routing
Flood waves
Mathematical models
Numerical models
Ohio River
SOCH
SOCHJ
Computer programs
Mississippi River Basin
Publisher: Hydraulics Laboratory (U.S.)
Engineer Research and Development Center (U.S.)
Series/Report no.: Miscellaneous paper (U.S. Army Engineer Waterways Experiment Station) ; H-73-3.
Description: Miscellaneous Paper
Abstract: The propagation of long translatory waves in open channels, of which flood waves are an example, is governed by the St Venant Equations. These are one-dimensional first order partial differential equations expressing the conservation of mass and momentum of the flow field. Since closed-form solutions are not available one must resort to numerical techniques such as finite differences in order to obtain solutions. Two computer programs, SOCH and SOCHJ, utilizing Stoker's explicit centered finite difference scheme to provide numerical soluti ons of the governing differential equations have been developed by TVA. Since an explicit scheme is utilized, a stability criterion must be satisfied by the time and spatial steps to ensure a stable solution of the difference equations that converges to the solution of the differential equations. SOCH can only be applied when tributaries can be handled as lateral inflow into the main channel, whereas SOCHJ can handle one tributary in addition to the main channel during the unsteady-flow computations. The above programs, modified so that Manning's η may vary with elevation, are applied to the 1945 and 1950 floods on the Ohio River. Computations begin at Louisville, Ky., on the Ohio River and extend to Counterfeit Rock, Mo. on the upper Mississippi River and HW 166 on the lower Mississippi River. The 1950 flood is used to calibrate the models and to furnish approximate rating curves. The calibrated models are then applied to the 1945 flood -- first without applying a downstream rating curve, and then making use of rating curves developed from the results obtained through calibration with the 1950 flood. Results in the form of plots of calculated elevations and discharges, along with recorded values from the Mississippi Basin Model, are presented for both the 1950 and 1945 floods. Detailed lists of the card data decks required by the SOCH and SOCHJ programs are presented in Appendixes A and B. Listings of the two programs are presented in Appendixes C and D.
Rights: Approved for public release; distribution is unlimited.
URI: http://hdl.handle.net/11681/10737
Appears in Collections:Miscellaneous Paper

Files in This Item:
File Description SizeFormat 
MP-H-73-3.pdf17.99 MBAdobe PDFThumbnail
View/Open