•SWE coupled with the Exner equation for the morphodynamic evolution is studied.•An analytical and compact implementation of the DOT scheme is given.•Original DOT and PRICE-C are used as reference methods for a performance study.•An error vs CPU time convergence analysis is performed on three test cases.•Given a target error, the new scheme results always the most efficient choice.
Advances in Water Resources – Elsevier
Published: Mar 1, 2018
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