Jabbari, E. and Saeedpanah, I., 2007 Simulation of sediment transport in coastal areas with Meshless Local Petrov-Galerkin scheme. Journal of Coastal Research, SI 50 (Proceedings of the 9th International Coastal Symposium), 943 – 948. Gold Coast, Australia, ISSN 0749.0208

The phenomenon of sediment transport plays an important role in the design of coastal structures. Lack of enough attention to the sediment transport process at coastal areas would cause considerable problems distribution such as filling the ports basins by sediment in a short time. In this paper, the truly Meshless Local Petrov-Galerkin (MLPG) scheme is extended for computation of concentration distribution of suspended sediment in depth and at different distances from a coast line, governed by the time-averaged advection-diffusion equation. The present method is a truly meshless method based only on a number of randomly located nodes. The meshless method is based on a local weighted residual method with the Heaviside step function and quartic spline as the test functions respectively over a local subdomain. Moving Least Square approximation (MLS) is employed in shape function construction for approximation of a gauss point. Due to dissatisfaction of kronecker delta property in MLS approximation, the penalty method is employed to enforce the essential boundary conditions. The results of the simulations were compared with the results of the simulations done by van Rijn. The comparison of computational results shows that the developed method is capable of accurate resolution of concentration distribution of suspended sediment at depth and in different distances from the coast line.