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ANáLISE DA EXECU??O DE UM ALGORITMO NUMéRICO CBS PARA SIMULA??O DE ESCOAMENTO UTILIZANDO ELEMENTOS FINITOS

DOI: 10.4067/S0718-33052009000200005

Keywords: cbs, artificial compressibility, finite element method, lid-driven cavity, gnu-octave.

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Abstract:

this work intends to analyze the application and execution time of a numerical algorithm that simulates incompressible and isothermal flows. it was used the explicit scheme of the "characteristic based split" (cbs) algorithm and the "artificial compressibility" (ac) scheme for coupling pressure-velocity equations. the discretization was done with the finite element method using a bilinear elements grid. the free software gnu-octave was used for implementation and execution of routines. the results were analyzed using the classic lid-driven cavity problem. this work shows results for tests with several reynolds' number. the results for these tests show a good agreement when compared with previous ones obtained from bibliography. the code runtime's analysis shows yet that the matrix's assembly is the part of greater consumption time in the implementation.

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