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S25 Métodos Numéricos |
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Title:
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A CONTROL VOLUME-FINITE ELEMENT METHOD (CVFEM) FOR UNSTEADY FLUID FLOWS
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Summary :
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ABSTRACT. A CONTROL VOLUME-FINITE ELEMENT METHOD (CVFEM) TO SIMULATE UNSTEADY, INCOMPRESSIBLE AND VISCOUS FLUID FLOWS USING NINE-NODED QUADRILATERAL ELEMENTS HAS BEEN DEVELOPED. THE MATHEMATICAL MODEL OF THE FLOWS IS CONSTITUTED BY THE NAVIER-STOKES EQUATIONS IN PRIMITIVE VARIABLES U-V-P. A TECHNIQUE OF UPWIND KNOWN AS MAW - MASS WEIGHTED INTERPOLATION WAS EXTENDED FOR THE FINITE ELEMENT IMPLEMENTED IN THIS WORK. THE SET OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS WAS INTEGRATED AND AFTER USING INTERPOLATION FUNCTIONS AND TIME DISCRETIZATION, THE ALGEBRAIC SYSTEM OF EQUATIONS WAS SOLVED BY USING THE FRONTAL METHOD. THE RESULTS OBTAINED FOR SOME BENCHMARK PROBLEMS COMPARED FAVORABLY WITH AVAILABLE RESULTS FROM THE LITERATURE.
KEYWORDS: FINITE ELEMENT METHOD, CONTROL VOLUME, NAVIER-STOKES EQUATIONS, PRIMITIVE VARIABLES, COMPUTATIONAL FLUID DYNAMICS.
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Author :
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Aparecido, João Batista
Campos Silva, João Batista
Moura, Luiz Felipe Mendes
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Paper View :
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