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 mechanisms.
Highlights
Modelling Desert Dune Fields Based on Discrete DynamicsBISHOPa’*, HIROSHI MOMIJIb, RICARDO CARRETERO-GONZALEZa" and ANDREW WARRENb aCentre for Nonlinear Dynamics and its Applications, University College London, Gower Street, London WCIE 6BT, UK; bDepartment of Geography, University College London, 26 Bedford Way, London, WC1H OAP, UK (Received 10 May 2001)
Mathematical modelling is a common tool in many fields of study
We are interested in the morphology, dune growth, downwind migration and spatial patterns which form in a sand field, where we aim to qualitatively and quantitatively mimic real dunes and to identify the physical features which play the most important role
Summary
BISHOPa’*, HIROSHI MOMIJIb, RICARDO CARRETERO-GONZALEZa" and ANDREW WARRENb aCentre for Nonlinear Dynamics and its Applications, University College London, Gower Street, London WCIE 6BT, UK; bDepartment of Geography, University College London, 26 Bedford Way, London, WC1H OAP, UK (Received 10 May 2001). 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. The proposed model is based on a discrete lattice dynamics approach with new features taken into account which reflect physically observed mechanisms
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