Stability of a General Preissmann Scheme
Publication: Journal of Hydraulic Engineering
Volume 113, Issue 1
Abstract
The stability and convergence characteristics of a four‐point implicit finite‐difference scheme due to Preissmann, which has been widely used in open‐channel flow modeling, are examined. The analysis is made for a general linear hyperbolic system of n first‐order equations, but is restricted to the homogeneous or frictionless case. In particular, the effect of a weighting factor in space, as well as in time, is considered. The specific case of unsteady sedimenttransport modeling, which conventionally results in a third‐order system, is discussed with particular reference to its singularly perturbed nature. Recommendations for practical computations are made.
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Published In
Journal of Hydraulic Engineering
Volume 113 • Issue 1 • January 1987
Pages: 16 - 28
Copyright
Copyright © 1987 ASCE.
History
Published online: Jan 1, 1987
Published in print: Jan 1987
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