S25  Métodos Numéricos
 
 Title:
CONTROL STRATEGIES IN FINITE ELEMENT SIMULATION OF 2D RAYLEIGH-BENARD-MARANGONI FLOWS
 
Summary :
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 
 
Author :
Carey, Graham F
Coutinho, Alvaro L G A
Valli, Andrea M P
 
 
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