2002
DOI: 10.1080/10260220290013462
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Modelling desert dune fields based on discrete dynamics

Abstract: A mathematical formulation is developed to model the dynamics of sand dunes. The physical processes display strong non-linearity that has been taken into account in the model. When assessing the success of such a model in capturing physical features we monitor morphology, dune growth, dune migration and spatial patterns within a dune field. Following recent advances, the proposed model is based on a discrete lattice dynamics approach with new features taken into account which reflect physically observed mechan… Show more

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Cited by 62 publications
(59 citation statements)
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“…The CA approach has been particularly productive in the context of dune-field patterning (e.g., [21][22][23]172]), and the spatial nature of CAs lends itself well to analysing ecogeomorphic systems [173]. The strength of CA models lies in their capacity to represent key processes underlying complex systems, using a far smaller number of parameters and assumptions than many detailed reductionist models [171].…”
Section: Cellular Automaton (Ca) Modellingmentioning
confidence: 99%
See 1 more Smart Citation
“…The CA approach has been particularly productive in the context of dune-field patterning (e.g., [21][22][23]172]), and the spatial nature of CAs lends itself well to analysing ecogeomorphic systems [173]. The strength of CA models lies in their capacity to represent key processes underlying complex systems, using a far smaller number of parameters and assumptions than many detailed reductionist models [171].…”
Section: Cellular Automaton (Ca) Modellingmentioning
confidence: 99%
“…Wind regime and sediment supply are known to largely control the formation of bare-sand dunes (e.g., [20][21][22][23]), but the complicating effects of vegetation, which form part of a wider, multi-scaled interplay of biophysical and anthropogenic factors, are less well understood [24][25][26].…”
Section: Introduction: the Drylands Contextmentioning
confidence: 99%
“…See text for discussion. dynamics, the transport of sand by the wind gives rise to the evolution of dunes as emergent behaviour (Werner, 1995;Nishimori et al, 1998;Bishop et al, 2002). Dune type is a function of only the direction(s) and magnitude of the winds, in which the specific classes of dunes (i.e.…”
Section: Defect Densitymentioning
confidence: 99%
“…Besides, very little is known about the dune morphology resulting from bimodal winds under conditions of low sand availability. In spite of many theoretical advances in the past, a model that solves both the three dimensional equations of aeolian sand transport and computes the evolution of dunes under bimodal wind regimes was lacking (12)(13)(14)(15)(16)(17).In the present work, we extend a well-developed and tested dune model (18,19) to investigate the formation of dunes under bimodal wind regimes. This model, which combines a set of well-established analytical equations for the turbulent wind field over the topography (20) with a continuum model for saltation (18)-the motion of grains in ballistic trajectories producing a splash of new ejected particles after grain-bed collisions (21-23)-reproduces quantitatively the shape of barchans and transverse dunes (24-26) and has become a powerful tool in the investigation of the large time scale processes involved in the formation of aeolian landscapes.…”
mentioning
confidence: 99%
“…Besides, very little is known about the dune morphology resulting from bimodal winds under conditions of low sand availability. In spite of many theoretical advances in the past, a model that solves both the three dimensional equations of aeolian sand transport and computes the evolution of dunes under bimodal wind regimes was lacking (12)(13)(14)(15)(16)(17).…”
mentioning
confidence: 99%