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 language||American English|
|Number of pages||17|
|Journal||Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences|
|State||Published - 1 Jan 2000|
Carbonel H, C. A. A., Galeão, A. C., & Loula, A. D. (2000). Numerical study of Petrov-Galerkin formulations for the shallow water wave equations. Revista Brasileira de Ciencias Mecanicas/Journal of the Brazilian Society of Mechanical Sciences, 231-247. https://doi.org/10.1590/S0100-73862000000200008