Numerical simulation of one dimensional transcritical flow

Ehab A. Meselhe, Fotis Sotiropoulos, Forrest M. Holly

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The term transcritical flow describes the existence of both subcritical and supercritical flow simultaneously within the computational domain. Transcritical flow situations are encountered in many engineering problems of practical interest. Numerical simulation of such problems renders application of single-regime computational-codes awkward, at best, for steady flow, and impossible for unsteady flow. Therefore a generalized computational algorithm, that handles transcritical flow accurately and robustly, would find immediate applications. This study presents a second-order accurate (in both time and space) bidiagonal implicit scheme capable of resolving transcritical flow. The proposed scheme is of predictor-corrector type and has excellent shock-capturing capabilities due to an added adaptive dissipation term. Moreover, since the spatial discretization of the scheme involves only two computational points, hydraulic structures can be easily simulated. Overall the scheme is very simple to implement and holds promise for wide usage. The scheme has been extensively applied to a variety of problems of practical interest. Comparison of the computed solutions with other published results and/or exact solutions -only a small sample of which are included in this paper - clearly demonstrate its accuracy, robustness and shock-capturing abilities.

Original languageEnglish (US)
Title of host publicationProceedings - National Conference on Hydraulic Engineering
PublisherPubl by ASCE
Number of pages5
Editionpt 1
ISBN (Print)0784400377
StatePublished - Jan 1 1994
EventProceedings of the 1994 ASCE National Conference on Hydraulic Engineering - Buffalo, NY, USA
Duration: Aug 1 1994Aug 5 1994

Publication series

NameProceedings - National Conference on Hydraulic Engineering
Numberpt 1
ISSN (Print)1070-1559


OtherProceedings of the 1994 ASCE National Conference on Hydraulic Engineering
CityBuffalo, NY, USA


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