Numerical model for the study of hydrodynamics on bays and estuaries (original) (raw)
1992, Applied Mathematical Modelling
A nonlinear implicit finite element model for the solution of two-dimensional (2-D) shallow wa ter equations, based on a Galerkin formulation of the 2-D estuaries hydrodynamic equations, has been developed. Spatial discretization has been achieved by the use of isoparametric. Lagrangian elements. To obtain the different element matrices , Simpson numerical integration has been applied. For time integration of the model. several schemes in finite differences have been used: the Cranck-Nicholson iterative method supplies a superior accuracy and allows us to work with the greatest time step t.t; however, central differences time inteKration produces a greater velocity of calculation. The model has been tested with different examples to check its accuracy and advantages in relation to computation and handling of matrices. Finally. an application to the Bay of Santander is also presented.
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