Shahin Zohouri1, Moharram D. Pirooz2, Asad Esmaeily3
CMES-Computer Modeling in Engineering & Sciences, Vol.7, No.1, pp. 107-118, 2005, DOI:10.3970/cmes.2005.007.107
Abstract A numerical scheme is developed to predict the wave run-up of an unsteady, incompressible viscous flow with free surface by the author$^1$. The method involves a two dimensional finite element with moving boundaries. The governing equations were the Navier-Stokes equations for conservation of momentum and mass for Newtonian fluids, continuity equation, and full nonlinear kinematic free-surface equation. A mapping algorithm was developed to solve highly deformed free surface problems, common in wave propagation. This algorithm transforms the run up model from the physical domain to a computational domain. A new Arbitrary Lagrangian-Eulerian (ALE) finite element More >
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