Open AccessNumerical study of Petrov-Galerkin formulations for the shallow water wave equations
Author(s) -
Carlos A. A. Carbonel H.,
Augusto C. N. R. Galeão,
Abimael F. D. Loula
Publication year - 2000
Publication title -
revista brasileira de ciências mecânicas
Language(s) - English
Resource type - Journals
ISSN - 0100-7386
DOI - 10.1590/s0100-73862000000200008
Subject(s) - petrov–galerkin method , spurious relationship , galerkin method , mathematics , waves and shallow water , shallow water equations , mathematical analysis , scale (ratio) , finite element method , physics , statistics , quantum mechanics , thermodynamics
The behavior of Petrov-Galerkin formulations for shallow water wave equations is evaluated numerically considering typical one-dimensional propagation problems. The formulations considered here use stabilizing operators to improve classical Galerkin approaches. Their advantages and disadvantages are pointed out according to the intrinsic time scale (free parameter) which has a particular importance in this kind of problem. The influence of the Courant number and the performance of the formulation in dealing with spurious oscillations are adressed