ENHANCING IMPLICIT HIGH-ORDER SPECTRAL FINITE VOLUME SCHEMES APPLICABILITY ON UNSTRUCTURED MESHES
Fernanda Paula Barbosa Pola1; Ives Renê Venturini Pola1; Antonio Castelo Filho1
1 Universidade de São Paulo
doi:10.20906/CPS/COB-2015-2280
Resumo
The storage and access of grid files by data structures and topological operators is one the most important goals of geometric modeling research field, which allows an efficient and stable implementation of adaptive refinement mechanisms, cells alignment and access to incidence and adjacency properties from grid elements, representing great concern in the majority of applications from fluid mechanics. In the case of non-structured grids, the cellular decomposition if non-uniform and is better suited by a more sophisticated strategy - topological data struct. This paper shows how a data structure can be extended in order to deal with non-supported types of elements, allowing perform simulations using the spectral finite volume method up to the fourth precision order. The fourth order spectral finite volume method obtains higher spatial resolution, where the control volumes are partitioned into smaller volumes of different types, from triangles to hexagons. In order to use the topological data struct, an extension of the structure was developed in order to hold the new generated grid by the partitioning specified by the spectral finite volume method. The extension represents all partitioned elements locally for each original control volume. Therefore, we performed experiments to validate the usage of the data structure along with existing approaches.
Palavras-chave: Spectral Finite Volume; Unstructured Meshes; Numerical Simulation; Topological Data Structure