Numerical model for the study of hydrodynamics on bays and estuaries

Tabuenca Perchin, Pedro and Cardona, Juan and Samartín, Avelino (1992). Numerical model for the study of hydrodynamics on bays and estuaries. "Applied Mathematical Modelling", v. 16 (n. 2); pp. 78-85. ISSN 0307-904X. https://doi.org/10.1016/0307-904X(92)90084-G.

Description

Title: Numerical model for the study of hydrodynamics on bays and estuaries
Author/s:
  • Tabuenca Perchin, Pedro
  • Cardona, Juan
  • Samartín, Avelino
Item Type: Article
Título de Revista/Publicación: Applied Mathematical Modelling
Date: February 1992
ISSN: 0307-904X
Volume: 16
Subjects:
Freetext Keywords: Finite elements, hydrodynamics, shallow water equations
Faculty: E.T.S.I. Caminos, Canales y Puertos (UPM)
Department: Mecánica de Medios Continuos y Teoría de Estructuras
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

A nonlinear implicit finite element model for the solution of two-dimensional (2-D) shallow water 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 Δt; however, central differences time integration 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.

More information

Item ID: 32910
DC Identifier: http://oa.upm.es/32910/
OAI Identifier: oai:oa.upm.es:32910
DOI: 10.1016/0307-904X(92)90084-G
Official URL: http://www.sciencedirect.com/science/article/pii/0307904X9290084G
Deposited by: Biblioteca ETSI Caminos
Deposited on: 28 Nov 2014 07:26
Last Modified: 24 Apr 2015 14:40
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