Numerical study of the Bénard-Marangoni instability EPIKH,e-infrastructure for e-science, Algiers 15th July 2010 Presented by: Benseghir Chahrazed University of Batna Numerical study of the Bénard-Marangoni instability workshop

The surface tension-driven convection is referred as Bénard- Marangoni convection. It occurs when a horizontal layer is heated from below and the top is a cold free surface. INTRODUCTION Figure.1. B-M convection

INTRODUCTION This causes the heated fluid to rise because of local density differences. The warm fluid near the bottom is replaced by cooler fluid near the top. the fluid will tend to circulate in a series of cells known as B-M cells. Side walls Free surface Figure.2. B-M cells.

INTRODUCTION Bénard-Marangoni instability is a fundamental problem for several material processing technologies, such as semiconductor crystal growth from melt in microgravity conditions.

OBJECTIVE Our objective is to use the grid system to study numerically the unsteady B-M instability in absence of the gravity .

STUDIED CONFIGURATION L b Y Z X Our domain is in 3D. The cavity is filled with the silicon-oil and above this fluid layer there is a layer of air. The system is heated from bellow and the top is maintained cold. Figure.3. Studied configuration.

MATHEMATICAL MODEL Continuity equation Momentium equations Energy equation

MATHEMATICAL MODEL Prandtl number Marangoni number Biot number

CONDITIONS 1) Initial condition U=V=W=T=0 2) Boundary conditions:

Velocity-pressure coupling NUMERICAL METHODS Finite volume method Hybrid scheme Projection method Velocity-pressure coupling

Gridification using eumedgrid We have gridified our application in eumed grid unsing a jdl file to submit the job. The gridification was successfull and have given the following results

Results Normalized Time=13000; Ma=150.

Saving time! We have saved significantly the cpu time of the execution of our program: Time on a P4 CPU: 2 days Time on EUMEDGRID: 6 hours

CONCLUSION The application has been successfuly gridified The calciulation have been done on a computing element The data files have been compressed archived and stored in a storage element using a single scrpt file

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