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Modelling Swash Zone Flows on an Alongshore Dependent Beach
An important area of uncertainty in swash zone flows is the accommodation of rapid changes at the time of maximum down-rush (i.e. backwash flow) due to huge accelerations. In this paper a technique to address this uncertainty has been described and special care is put in handling the moving shoreline in a mathematical model. A new formulation for shoreline boundary condition is presented. The model has been solved and simulated using the Finite Elements Methods Laboratory (FEMLAB) software. The computational domain represents a bottom topography of a beach cut-off at a point below the maximum run-up creating an artificial bottom and an artificial flat distance. Water is considered to be flowing freely towards the end of the domain. Simulation results fit well the flow velocities in up-rush and backwash durations from the experimental/field studies conducted by earlier researchers (e.g. Lie and Torum (1991), Hughes and Baldock (2004), Petti and Longo (2001b)).
Nonlinear shallow water equations, Swash zone, Truncating technique, Convergence of solutions, Simulations
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