1. 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

2. 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

3. 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.

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

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

6. STUDIED CONFIGURATIONL 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.

7. MATHEMATICAL MODEL Continuity equation Momentium equations
Energy equation

8. MATHEMATICAL MODEL
Prandtl number
Marangoni number
Biot number

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

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

11. 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

12. Results
Normalized Time=13000; Ma=150.

13. 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

14. 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

15. THANK YOU FOR YOUR ATTENTION