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Refinamiento h-adaptativo de mallas no estructuradas en problemas estacionarios y transitorios de flujos compresibles

Gustavo Alberto Ríos Rodriguez Mario Alberto Storti Sergio Elaskar Pedro Morín Marcelo Vénere Norberto Marcelo Nigro

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Resumen/Descripción – provisto por el repositorio digital
An adaptive refinement strategy to solve steady and unsteady compressible non- viscous flows by the finite element method over unstructured meshes is developed. The quality of the adapted mesh is the main driving force to devise the refinement strategy. The quality of the mesh elements is evaluated using well known quality measures. The adapted meshes are non-conforming, ie there exists hanging or green nodes in the adapted mesh. Refinement constraints are enforced in order to guarantee a smooth size distribution amongst neighbour elements. The refinement strategy and constraints are implemented by a recursive algorithm. On the other hand, a posteriori error estimators are used to steer the adaptivity process. Common a posteriori error estimators for hyperbolic systems of partial differential equations are introduced. The adaptivity code is partially parallelized, ie the mesh adaption task is executed on a single node of a Beowulf cluster of PC while the fluid dynamic solver is executed in parallel. The SUPG finite element scheme is used to solve the governing equations together with Shock-Capturing techniques. This scheme is implemented in a code that is part of the PETSc-FEM multiphysics solver. The adaption algorithm is written in the C++ programming language together with algorithms and containers provided by the Standard Template Library (STL) and the Boost libraries. Mesh adaption code performance, adapted mesh quality and accuracy improvements in the solution are evaluated whenever possible. Conclusions are drawn based on these results and research activities for the near future are finally proposed.
Palabras clave – provistas por el repositorio digital

H-adaptivity; Unstructured meshes; Compressible flows; Error estimates; C++; Mesh quality; Adaptatividad-h; Mallas no estructuradas; Flujos compresibles; Estimación de error; Calidad de mallas

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No requiere 2009 Biblioteca Virtual de la Universidad Nacional del Litoral (SNRD) acceso abierto

Información

Tipo de recurso:

tesis

Idiomas de la publicación

  • español castellano

País de edición

Argentina

Fecha de publicación