{"id":{"repo_id":"vt","oai_identifier":"oai:vtechworks.lib.vt.edu:10919/94501"},"canonical_url":"https://search.dev.ndltd.org/etd/vt/oai:vtechworks.lib.vt.edu:10919/94501","repository":{"repo_id":"vt","name":"Virginia Tech","base_url":"https://vtechworks.lib.vt.edu/oai/request"},"display":{"title":"Development of a reverse flood routing technique using the implicit method","abstract":"A numerical solution technique was developed to solve the one-dimensional, partial differential equations of unsteady flow for an upstream solution. The x-t, distance-time, plane was replaced by a rectangular grid of points at which the values of the variables, discharge and depth, were computed using an implicit, finite difference scheme. A discharge hydrograph and rating curve supplied the initial values of discharge and depth along the downstream column of grid points. Boundary values of discharge were known along the top row and bottom row of grid points from steady flow conditions. The solution proceeded from column to column in the negative x direction yielding an upstream discharge hydrograph as the final solution. The computer model was successfully tested utilizing a reach of the James River, Virginia. The upstream hydrograph was first routed in the downstream direction using an implicit solution procedure already available. The downstream hydrograph resulting as a solution was used as input to the reverse flood routing model. The upstream solution as computed by the model showed near perfect agreement with the actual upstream hydrograph.","abstract_html":"A numerical solution technique was developed to solve the one-dimensional, partial differential equations of unsteady flow for an upstream solution. The x-t, distance-time, plane was replaced by a rectangular grid of points at which the values of the variables, discharge and depth, were computed using an implicit, finite difference scheme. A discharge hydrograph and rating curve supplied the initial values of discharge and depth along the downstream column of grid points. Boundary values of discharge were known along the top row and bottom row of grid points from steady flow conditions. The solution proceeded from column to column in the negative x direction yielding an upstream discharge hydrograph as the final solution. The computer model was successfully tested utilizing a reach of the James River, Virginia. The upstream hydrograph was first routed in the downstream direction using an implicit solution procedure already available. The downstream hydrograph resulting as a solution was used as input to the reverse flood routing model. The upstream solution as computed by the model showed near perfect agreement with the actual upstream hydrograph.","abstract_has_math":false,"creators":["Eli, Robert N."],"institution":"Virginia Polytechnic Institute and State University","degree_name":"M.S.","degree_level":"masters","degree_discipline":"Civil Engineering","degree_department":"Civil Engineering","school":null,"contributors":[],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1972,"date_issued":"1972","date_published":"1972","updated_at":"2026-07-22T22:18:39Z","subjects":[],"languages":["en"],"rights":["In Copyright"],"rights_urls":["http://rightsstatements.org/vocab/InC/1.0/"],"identifier_entries":[]},"links":{"outbound_url":"http://hdl.handle.net/10919/94501","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.department","label":"Department","values":["Civil Engineering"]},{"key":"dc:creator","label":"Author","values":["Eli, Robert N."]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2019-10-10T19:12:12Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2019-10-10T19:12:12Z"]},{"key":"dc:date.issued","label":"Date","values":["1972"]},{"key":"dc:publisher","label":"Institution","values":["Virginia Polytechnic Institute and State University"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"dc:type.dcmitype","label":"Dc Type Dcmitype","values":["Text"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Civil Engineering"]},{"key":"thesis:degree_level","label":"Degree Level","values":["masters"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Virginia Polytechnic Institute and State University"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["In Copyright"]},{"key":"dc:rights.uri","label":"Rights URI","values":["http://rightsstatements.org/vocab/InC/1.0/"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["http://hdl.handle.net/10919/94501"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["A numerical solution technique was developed to solve the one-dimensional, partial differential equations of unsteady flow for an upstream solution. The x-t, distance-time, plane was replaced by a rectangular grid of points at which the values of the variables, discharge and depth, were computed using an implicit, finite difference scheme. A discharge hydrograph and rating curve supplied the initial values of discharge and depth along the downstream column of grid points. Boundary values of discharge were known along the top row and bottom row of grid points from steady flow conditions. The solution proceeded from column to column in the negative x direction yielding an upstream discharge hydrograph as the final solution. The computer model was successfully tested utilizing a reach of the James River, Virginia. The upstream hydrograph was first routed in the downstream direction using an implicit solution procedure already available. The downstream hydrograph resulting as a solution was used as input to the reverse flood routing model. The upstream solution as computed by the model showed near perfect agreement with the actual upstream hydrograph."]},{"key":"dc:description.degree","label":"Dc Description Degree","values":["M.S."]},{"key":"dc:format.mimetype","label":"Dc Format Mimetype","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Development of a reverse flood routing technique using the implicit method"]}]}],"canonical_facts":{"dc:contributor.department":["Civil Engineering"],"dc:creator":["Eli, Robert N."],"dc:date.accessioned":["2019-10-10T19:12:12Z"],"dc:date.available":["2019-10-10T19:12:12Z"],"dc:date.issued":["1972"],"dc:description.abstract":["A numerical solution technique was developed to solve the one-dimensional, partial differential equations of unsteady flow for an upstream solution. The x-t, distance-time, plane was replaced by a rectangular grid of points at which the values of the variables, discharge and depth, were computed using an implicit, finite difference scheme. A discharge hydrograph and rating curve supplied the initial values of discharge and depth along the downstream column of grid points. Boundary values of discharge were known along the top row and bottom row of grid points from steady flow conditions. The solution proceeded from column to column in the negative x direction yielding an upstream discharge hydrograph as the final solution. The computer model was successfully tested utilizing a reach of the James River, Virginia. The upstream hydrograph was first routed in the downstream direction using an implicit solution procedure already available. The downstream hydrograph resulting as a solution was used as input to the reverse flood routing model. 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