TY - JOUR
T1 - Numerical study of Petrov-Galerkin formulations for the shallow water wave equations
AU - Carbonel H, Carlos A.A.
AU - Galeão, Augusto Cesar
AU - Loula, Abimael Dourado
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2000
Y1 - 2000
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0034207480&partnerID=8YFLogxK
U2 - 10.1590/S0100-73862000000200008
DO - 10.1590/S0100-73862000000200008
M3 - Artículo
AN - SCOPUS:0034207480
SN - 0100-7386
VL - 22
SP - 231
EP - 247
JO - Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences
JF - Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences
IS - 2
ER -