INTEC   05402
INSTITUTO DE DESARROLLO TECNOLOGICO PARA LA INDUSTRIA QUIMICA
Unidad Ejecutora - UE
artículos
Título:
The Violation of Objectivity in Laplace Formulations of the Navier-Stokes Equations
Autor/es:
LIMACHE A.; IDELSOHN S.; ROSSI R.; OÑATE E.
Revista:
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS
Editorial:
John Wiley & Sons
Referencias:
Lugar: Chichester, West Sussex, UK; Año: 2007 vol. 54 p. 639 - 664
ISSN:
0271-2091
Resumen:
The Navier-Stokes Equations written in Laplace form are often the starting point of many numericalmethods for the simulation of viscous flows. Imposing the natural boundary conditions of the Laplaceform or neglecting the viscous contributions on free-surfaces are traditionally considered reasonableand harmless assumptions. With these boundary conditions any formulation derived from integralmethods (like Finite Elements or Finite Volumes) recovers the pure Laplacian aspect of the strong formof the equations. This approach has also the advantage of being convenient in terms of computationaleffort and, as a consequence, it is used extensively. However, we have recently discovered that theseresulting Laplacian formulations violate a basic axiom of continuum mechanics: the Principle ofObjectivity. In the present article we give an accurate account about these topics. We also showthat unexpected differences may sometimes arise between Laplace discretizations and Divergencediscretizations. Copyright c 2000 John Wiley & Sons, Ltd.