Numerical study of Petrov-Galerkin formulations for the shallow water wave equations

Carlos A.A. Carbonel H, Augusto Cesar Galeão, Abimael Dourado Loula

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


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 addressed.

Original languageEnglish
Pages (from-to)231-247
Number of pages17
JournalRevista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences
Issue number2
StatePublished - 2000
Externally publishedYes


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