SoluÃÃo numÃrica da equaÃÃo de difusÃo de calor em geometrias tridimensionais
AUTOR(ES)
Samuel Alves da Silva
DATA DE PUBLICAÇÃO
2004
RESUMO
This work presents a numeric formulation for the solution of the heat transfer equation with finite volume method (FVM) using forward Euler explicit time integration. The FVM was used because it satisfies the conservation principle, both locally as globally, since it is derived directly of the laws of conservation in the integral form. Also the FVM is well adapted to the use of complex geometric models. A vertex center control volume is used, defined by the median of the edges and the center of the elements. Unstructured meshes of the linear elements ares used to discretize the computacional domain. These meshs have several disadvantage when compared to structure meshes, such as indirect addressing and large demands of memory. An edge base data structure is used to minimize these problems. This choice allows the use of general meshes (both unstructured and structured), and also a simple and efficient implementation of the solver. A FORTRAN90 compute program was written to implement this technique. It is derived in three modules: the first module import the geometry, mesh and boundary conditions generated for commercial program Msc.Patran (version 2001 r2a), the second module convert the element based data structure for the edge based data and the third module, solve stationary and transient heat transfer problmes with the edge based data structure. The gotten results are compared with the commercial solver Msc.Nastran (version 2001) and visualized in free tool supplied for IBM, OPenDX
ASSUNTO(S)
conduÃÃo de calor e massa malhas nÃo-estruturadas estrutura da dados por aresta mÃtodos dos volumes finitos engenharia mecanica
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