@Article{cmes.2005.007.107,
AUTHOR = {Shahin Zohouri, Moharram D. Pirooz, Asad Esmaeily},
TITLE = {Predicting Wave Run-Up using Full ALE Finite Element Approach considering Moving Boundary},
JOURNAL = {Computer Modeling in Engineering \& Sciences},
VOLUME = {7},
YEAR = {2005},
NUMBER = {1},
PAGES = {107--118},
URL = {http://www.techscience.com/CMES/v7n1/29722},
ISSN = {1526-1506},
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 modeling technique was used to model the fluid flow and predict the wave modification. Oscillation of the surface profile near the vertical wall was corrected by using a numerical procedure in the mapping function, and also by employing moving boundary technique at the wall point where run up happens. These oscillations are associated with mapping process at the boundaries when a full ALE finite element approach is used in both coordinate directions.},
DOI = {10.3970/cmes.2005.007.107}
}