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S25 Métodos Numéricos |
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Title:
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CONTROL STRATEGIES IN FINITE ELEMENT SIMULATION OF 2D
RAYLEIGH-BENARD-MARANGONI FLOWS
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Summary :
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NATURAL CONVECTION OF AN INCOMPRESSIBLE
FLUID CAN BE DRIVEN BY BUOYANCY FORCES DUE TO TEMPERATURE GRADIENTS
AND THERMOCAPILLARY FORCES CAUSED BY GRADIENTS IN THE SURFACE
TENSION. THESE FLOWS, TERMED RAYLEIGH-BENARD-MARANGONI PROBLEMS, ARE
OF GREAT INTEREST IN STUDYING PATTERN FORMATION IN HYDRODYNAMICAL
SYSTEMS. A DECOUPLED FINITE ELEMENT FORMULATION WITH ADAPTIVE
FEEDBACK CONTROL FOR TIMESTEP SELECTION HAS BEEN DEVELOPED FOR 2D
VISCOUS FLOW PROBLEMS INVOLVING HEAT TRANSFER AND SURFACE TENSION
EFFECTS. THE FINITE ELEMENT FLOW FORMULATION IS BASED ON A PENALTY
GALERKIN METHOD AND THE HEAT EQUATION UTILIZES A GALERKIN
APPROACH. REPRESENTATIVE RAYLEIGH-BENARD AND MARANGONI FLOW
CALCULATIONS ARE PRESENTED, AND THE EFFICIENCY OF THE PRESENT TIMESTEP
SCHEME IS EXAMINED AND COMPARED WITH OTHER TIME-STEPPING STRATEGY.
KEYWORDS: RAYLEIGH-BENARD-MARANGONI FLOWS, ADAPTIVE FEEDBACK CONTROL, TIMESTEP SELECTION, FINITE ELEMENT |
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Author :
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Carey, Graham F
Coutinho, Alvaro L G A
Valli, Andrea M P
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Paper View :
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