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A modified Lagrange-Galerkin method for a fluid-rigid system with discontinuous density
| Indexado |
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| DOI | 10.1007/S00211-012-0460-1 | ||||
| Año | 2012 | ||||
| Tipo | artículo de investigación |
Citas Totales
Autores Afiliación Chile
Instituciones Chile
% Participación
Internacional
Autores
Afiliación Extranjera
Instituciones
Extranjeras
Abstract
In this paper, we propose a new characteristics method for the discretization of the two dimensional fluid-rigid body problem in the case where the densities of the fluid and the solid are different. The method is based on a global weak formulation involving only terms defined on the whole fluid-rigid domain. To take into account the material derivative, we construct a special characteristic function which maps the approximate rigid body at the (k + 1)-th discrete time level into the approximate rigid body at k-th time. Convergence results are proved for both semi-discrete and fully-discrete schemes.
| Ord. | Autor | Género | Institución - País |
|---|---|---|---|
| 1 | SAN MARTIN-HERMOSILLA, JORGE ALONSO | Hombre |
Universidad de Chile - Chile
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| 2 | Scheid, Jean François | Hombre |
Univ Lorraine - Francia
Université de Lorraine - Francia |
| 3 | Balilescu, Loredana | Mujer |
Univ Pitesti - Rumania
Universitatea din Pitesti - Rumania |
| Fuente |
|---|
| Romanian National Authority for Scientific Research, CNCS-UEFISCDI |
| Basal-CMM project |
| "Agence Nationale de la Recherche" (ANR), Project CISIFS |
| Program ECOS-CONICYT (Scientific cooperation project between France and Chile) |
| Agradecimiento |
|---|
| J. San Martin was partially supported by Grant Fondecyt 1090239 and BASAL-CMM Project. J.-F. Scheid gratefully acknowledges the Program ECOS-CONICYT (Scientific cooperation project between France and Chile) through grant C07-E05. He was also partially supported by the "Agence Nationale de la Recherche" (ANR), Project CISIFS, grant ANR-09-BLAN-0213-02. L. Smaranda was supported by a grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project number PN-II-RU-TE-2011-3-0059. |
