INVESTIGADORES
GARELLI Luciano
congresos y reuniones científicas
Título:
Geometric Conservation Law in 2D Advection-Diffusion Problem.
Autor/es:
LUCIANO GARELLI; RODRIGO R. PAZ; MARIO A. STORTI
Lugar:
Rosario, Santa Fe.
Reunión:
Congreso; II Congreso de Matemática Aplicada, Computacional e Industrial.; 2009
Institución organizadora:
Asociación Argentina de Matemática Aplicada, Computacional e Industrial
Resumen:
The aim of this work is to study the influence of the Geometric Conservation Law (GCL) when numericalsimulations are performed on deforming domains with an Arbitrary Lagrangian-Eulerian (ALE) formulation. Thisanalysis is carried out in the context of the Finite Element Method (FEM) for a model problem of a scalar advectiondiffusionequation defined on a moving domain.The so-called Geometric Conservation Law (GCL) is satisfied if the algorithm can exactly reproduce a constant solutionon moving grids.Not complying with the GCL means that the stability of the time integration is not assured and, thus, the order ofconvergence could not be preserved. To emphasize the importance of fulfilling the GCL, numerical experiments areperformed in 2D using several mesh movements. In these experiments different temporal integration schemes havebeen used.
