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Beach profile evolution as an inverse problem
Authors:Harshinie Karunarathna  Dominic E Reeve  Mark Spivack  
Institution:aDepartment of Civil Engineering, Rankin Building, University of Glasgow, Glasgow, G12 8LT, UK;bCentre for Coastal Dynamics and Engineering, School of Engineering, Reynolds Building, University of Plymouth, Plymouth, PL4 8AA, UK;cDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
Abstract:Beach evolution models are normally applied in a prognostic fashion, with parameters and boundary conditions estimated from previous experience or other forecasts. Here, we use observations of beach profiles to solve a beach profile evolution equation in an inverse manner to determine model parameters and source function. The data used to demonstrate the method are from Christchurch Bay in Dorset, UK. It was found that there is a significant contribution from diffusive processes to the morphodynamic evolution of the beach profiles and that the development and disappearance of near-shore coastal features such as upper beach berms and inter- and sub-tidal bars are well captured by the source function in the governing equation.
Keywords:Coastal morphology  Beach profiles  Inverse method  Source function  Diffusion coefficient
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