1995
DOI: 10.1080/00221689509498549
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Stability of river bifurcations in ID morphodynamic models

Abstract: Based on model-technical as well as physical considerations a nodal-point relation at bifurcations is proposed for one-dimensional (ID) network morphodynamic models: the ratio between the sediment transports into the downstream branches is proportional to a power of the discharge ratio. The influence of the nodal-point relation on the behaviour of the morphodynamic model is analyzed theoretically. The exponent in the nodal-point relation appears to be crucial for the stability of the bifurcation in the model. … Show more

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Cited by 130 publications
(271 citation statements)
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“…From numerical modeling results obtained in a previous study (see Figure 12 in Sassi et al [2012a]) we can conclude that the ratio between surface level elevation differences to water depth is approximately between 5% and 10%, taking mean channel depth as the reference. Consequently, hydraulic theory on gradually varied flow does not directly apply, and existing work on river bifurcation stability, such as initiated by Wang et al [1995] and extended by Bolla-Pitaluga et al [2003], cannot readily be extended to the case with tides. Results from the bifurcations studied in this manuscript suggest it can be promising to use a depth-averaged morphological model for the latter purpose, in which settling lag and scour lag effects are being accommodated implicitly [Galappatti and Vreugdenhil, 1985].…”
Section: Discussionmentioning
confidence: 99%
“…From numerical modeling results obtained in a previous study (see Figure 12 in Sassi et al [2012a]) we can conclude that the ratio between surface level elevation differences to water depth is approximately between 5% and 10%, taking mean channel depth as the reference. Consequently, hydraulic theory on gradually varied flow does not directly apply, and existing work on river bifurcation stability, such as initiated by Wang et al [1995] and extended by Bolla-Pitaluga et al [2003], cannot readily be extended to the case with tides. Results from the bifurcations studied in this manuscript suggest it can be promising to use a depth-averaged morphological model for the latter purpose, in which settling lag and scour lag effects are being accommodated implicitly [Galappatti and Vreugdenhil, 1985].…”
Section: Discussionmentioning
confidence: 99%
“…Two distributaries with identical downstream boundary conditions and a given upstream Shields stress (Q) distribute water and sediment asymmetrically because this is a stable equilibrium configuration [Wang et al, 1995;Slingerland and Smith, 1998;Bolla Pittaluga et al, 2003;Miori et al, 2006;Zolezzi et al, 2006;Bertoldi and Tubino, 2007;Edmonds and Slingerland, 2008;Kleinhans et al, 2008]. For a given Q, upstream channel roughness, and channel aspect ratio, there exists only one asymmetric discharge ratio (Q r ) for which the downstream bifurcate channels are stable to small perturbations.…”
Section: Motivationmentioning
confidence: 99%
“…Bifurcation development is determined by the division of water and sediment to the downstream branches in relation to their conveyance and transport capacity (Wang et al, 1995;Bolla Pittaluga et al, 2003;Hardy et al, 2011). The division of water and sediment between both branches can change over time as a result of change of the downstream branches, for example channel widening (Miori et al, 2006) or lengthening.…”
Section: Introductionmentioning
confidence: 99%