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A fully 3D finite element model for non‐hydrostatic coastal flows with a free surface
Author(s) -
Blasco Jordi,
Maidana M. Augusto,
Espino Manuel
Publication year - 2009
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1904
Subject(s) - free surface , hydrostatic equilibrium , finite element method , robustness (evolution) , turbulence , mechanics , hydrostatic pressure , kinematics , geology , computational fluid dynamics , mathematics , classical mechanics , engineering , physics , structural engineering , biochemistry , chemistry , quantum mechanics , gene
In this paper we develop a finite element model, named HELIKE, for the numerical simulation of 3D, non‐hydrostatic, turbulent flows with a free surface like those arising from the study of the motion of water in coastal regions. The kinematic free‐surface equation is used to compute the surface elevation, without resorting to vertical averages. The model presented here incorporates surface wind stress, bottom friction and Coriolis acceleration, and it is applicable to irregular bottom topographies. A pressure stabilization technique is employed to stabilize the finite element solution. Numerical results obtained both in test problems and in a real‐life application confirm the accuracy, robustness and applicability of the proposed method. Copyright © 2008 John Wiley & Sons, Ltd.