Finite-Difference Simulation of Bore Propagation

by C. Samuel Martin, (M.ASCE), Assoc. Prof.; School of Civ. Engrg., Georgia Inst. of Technol., Atlanta, GA; currently on Sabbatical leave as Gastprofessor and John R. Freeman Scholar, Institute für Hydromechanik, Universität Karlsruhe, Germany,
Jerome J. Zovne, (A.M.ASCE), Asst. Prof. of Civ. Engrg.; Kansas State Univ., Manhattan, KS; formerly, Res. Asst., School of Civ. Engrg., Georgia Inst. of Technol., Atlanta, GA,

Serial Information: Journal of the Hydraulics Division, 1971, Vol. 97, Issue 7, Pg. 993-1010

Document Type: Journal Paper


A finite-difference method is applied to the gradually varied flow equations of open-channel flow for the purpose of simulating the gross aspects of bore propagation. In contrast to other treatments relating to bore inception and propagation the conservation equations of momentum and continuity across the bore are relaxed. The problems of dam break and the reflection of a bore from a dead end are solved and compared with the more exact solution based on the method of characteristics (Stoker's solution). For both problems the results of the staggered-net finite-difference solution compare quite favorably with Stoker's solution as long as the flow is subcritical. Although no sharp-fronted bore forms the surge represented by the gradually varied flow solution has the same maximum velocity and depth as the bore. The maximum depth and velocity behind the surge propagate at nearly the same velocity as the bore. The finite-difference solution provides as adequate simulation of such gross quantities of bore propagation as momentum and depth and velocity of flow.

Subject Headings: Flow simulation | Gradually varied flow | Finite difference method | Open channel flow | Professional societies | Fluid velocity | Open channels | Dam failures

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