Understanding river dune splitting through flume
experiments and analysis of a dune evolution model
Jord J. Warmink,
1
C. Marjolein Dohmen-Janssen,
1
* Joost Lansink,
1,2
Suleyman Naqshband,
1
Olav J. M. van Duin,
1
Andries J. Paarlberg,
3
Paul Termes
3
and Suzanne J. M. H. Hulscher
1
1
Department of Water Engineering and Management, University of Twente, Enschede, The Netherlands
2
Witteveen + Bos Consultants, Deventer, The Netherlands
3
HKV Consultants, Lelystad, The Netherlands
Received 22 March 2013; Revised 18 December 2013; Accepted 6 January 2014
*Correspondence to: C. Marjolein Dohmen-Janssen, University of Twente, Department of Water Engineering and Management, PO Box 217, 7500 AE Enschede, The
Netherlands. E-mail: c.m.dohmen-janssen@utwente.nl
ABSTRACT: Forecasts of water level during river floods require accurate predictions of the evolution of river dune dimensions,
because the hydraulic roughness of the main channel is largely determined by the bed morphology. River dune dimensions are
controlled by processes like merging and splitting of dunes. Particularly the process of dune splitting is still poorly understood and
– as a result – not yet included in operational dune evolution models. In the current paper, the process of dune splitting is investigated
by carrying out laboratory experiments and by means of a sensitivity analysis using a numerical dune evolution model. In the numerical
model, we introduced superimposed TRIAS ripples (i.e. triangular asymmetric stoss side-ripples) on the stoss sides of underlying dunes as
soon as these stoss sides exceed a certain critical length. Simulations with the model including dune splitting showed that predictions of
equilibrium dune characteristics were significantly improved compared to the model without dune splitting. As dune splitting is
implemented in a parameterized way, the computational cost remains low which means that dune evolution can be calculated on
the timescale of a flood wave. Subsequently, we used this model to study the mechanism of dune splitting.
Literature showed that the initiation of a strong flow separation zone behind a superimposed bedform is one of the main mechanisms
behind dune splitting. The flume experiments indicated that besides its height also the lee side slope of the superimposed bedform is an
important factor to determine the strength of the flow separation zone and therefore is an important aspect in dune splitting. The
sensitivity analysis of the dune evolution model showed that a minimum stoss side length was required to develop a strong flow separation
zone. Copyright © 2014 John Wiley & Sons, Ltd.
KEYWORDS: river dune evolution; dune splitting; morphological modelling; bedform superimposition
Introduction
Hydraulic roughness values play an important role in the
prediction of water levels in river systems (Casas et al., 2006;
Vidal et al., 2007; Morvan et al., 2008), which is critical for
flood management purposes. While many improvements have
been made in the field of hydraulic modelling, there is still
much uncertainty regarding the roughness values of the main
channel and floodplains (Warmink et al., 2007, 2013). The hy-
draulic roughness of the main channel is mainly determined by
bedforms on the river bed. In many rivers, river dunes are the
dominant bedforms; they form in beds with sediment sizes
ranging from medium sand to gravel (e.g. Van den Berg and
Van Gelder, 1993; Kostaschuk, 2000; Best, 2005). River dunes
are rhythmic patterns caused by the interaction of the turbulent
flow with the sandy bottom. The height of river dunes is in the
order of 10 to 30% of the water depth and their length (distance
between two consecutive crests) is approximately 10 times
their height (e.g. Van Rijn, 1984). They migrate downstream
and are asymmetrical, with mild stoss side slopes (around 5°)
and steep lee side slopes, often reaching the angle of repose
(about 30°). Recirculating eddies can develop at steep lee sides
of dunes, resulting in a flow separation zone; the flow at the lee
surface of these dunes is in opposite direction of the mean
stream flow (see Figure 1). River beds are highly dynamic dur-
ing floods: lengths and heights of dunes increase and
decrease during floods as a result of the changing flow
conditions.
In the past, many approaches have been taken to model dune
dimensions, ranging from equilibrium dune height predictors
(e.g. Yalin, 1964; Allen, 1978; Van Rijn, 1984) to various forms
of stability analyses (e.g. Kennedy, 1963; Engelund, 1970;
Fredsøe, 1974; Yamaguchi and Izumi, 2002). Some models try
to capture all hydrodynamic and sediment transport character-
istics in great detail (Nabi et al., 2013). Such models are valu-
able for studying detailed processes, but are computationally
intensive. Simpler models exist that calculate the turbulent flow
field over bedforms, in some cases in combination with
morphological computations or parameterizations of important
processes (e.g. Shimizu et al., 2001; Nelson et al., 2005; Tjerry
and Fredsoe, 2005; Giri and Shimizu, 2006; Paarlberg et al.,
2007, 2009; Shimizu et al., 2009; Nelson et al., 2011).
EARTH SURFACE PROCESSES AND LANDFORMS
Earth Surf. Process. Landforms 39, 1208–1220 (2014)
Copyright © 2014 John Wiley & Sons, Ltd.
Published online 12 February 2014 in Wiley Online Library
(wileyonlinelibrary.com) DOI: 10.1002/esp.3529