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



Document title: Numerical study of Petrov-Galerkin formulations for the shallow water wave equations
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000312018
ISSN: 0100-7386
Authors: 1
2
Institutions: 1Universidade Santa Ursula, Rio de Janeiro. Brasil
2Ministerio da Ciencia e Tecnologia, Laboratorio Nacional de Computacao Cientifica, Petropolis, Rio de Janeiro. Brasil
Year:
Volumen: 22
Number: 2
Pages: 231-247
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Analítico
English abstract 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
Disciplines: Física y astronomía,
Ciencias de la computación
Keyword: Dinámica de fluidos,
Aguas someras,
Ecuaciones,
Ondas,
Elementos finitos,
Petrov-Galerkin
Keyword: Physics and astronomy,
Computer science,
Fluid dynamics,
Shallow waters,
Equations,
Waves,
Finite elements,
Petrov-Galerkin
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