Estimativa de erros no cálculo de gradientes em malhas de Voronoi

• Autor(a) principal: Silva, Daniele Pereira da
• Data de Publicação: 2012
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações da UERJ
• Texto Completo: http://www.bdtd.uerj.br/handle/1/13753
• topic: Finite volumes; Non-structured meshes; Voronoi diagram; Error analysis; Volumes finitos; Malhas não-estruturada; Diagrama de Voronoi; Análise de erros; CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS

Presente work propose examine methodologies for calculate gradient using a non-structured mesh of Voronoi s type, used on finite volume method. Four methodologies for calculate gradient are tested and compared with analytical solutions. The techniques used are: the Forces Balance Method, Minimum Quadratic Residue Method, Average Projected Gradient Method and the Revised Average Projected Method. An analysis using Taylor series was also made, and the analytical equations compared with numerical results. Tests are performed over Cartesian and triangular meshes, second one which in a previous work showed some inconsistent results. The influence of the gerator point displacement and rotation angle is analyzed. It was found that the position of the generator point and the methodology used influences gradient value. Accordingly to the mesh and the methodology used, analytical equations indicates that there are associated errors, which affect gradient value.