Skip to main content
Log in

On the application of adi method to numerical simulation of the marangoni convection controlling in liquid bridge model

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

An ADI scheme is suggested to simulate the Marangoni convection controlling with emphasis on investigating application of the technique numerically. Numerical experiments conducted in the present paper turn out both successful and efficient. Hence, ADI scheme is expected to be extended to the study of other convection processes related to material manufacturing.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. T. Alziary de Roquefort and G. Grillaud, Computation of Taylor vortex flow by a transient implicit method,Computers and Fluids,6 (1978), 259–269.

    Article  MATH  Google Scholar 

  2. Kamotani, Y. and J. Kim, Effects of zone rotation on oseillatory thermocapillary flow in a simulated floating zone,Journal of Crystal Growth,87 (1988), 62–68.

    Article  Google Scholar 

  3. Ostrach, S., Low gravity fluid flows,Ann. Rev. Fluid. Mech.,14 (1982), 313–345.

    Article  MATH  Google Scholar 

  4. Tang, Z.M. and J.C. Li,Proceedings of the 4th ACFM, Hong Kong (1989),Acta Mechanica Sinica,23, 2 (1991), 149–156.

    MathSciNet  Google Scholar 

  5. Huang, W.Z. and S.C. Zhang, Effect of treatment of neumann boundary conditions on accuracy of finite difference solutions,J. Num. Methods & Com. Appl., (to appear) (in Chinese)

  6. Li. J.C., W. Huang., Z.H. Xie and S.C. Zhang, The management of thermocapillary convection in floating zone under microgravity,Scientia Sinica. (to appear)

Download references

Author information

Authors and Affiliations

Authors

Additional information

The project supported by the National Natural Science Foundation of China

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wei-zhang, H., Suo-chun, Z., Zuo-heng, X. et al. On the application of adi method to numerical simulation of the marangoni convection controlling in liquid bridge model. Appl Math Mech 13, 393–400 (1992). https://doi.org/10.1007/BF02450729

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02450729

Key words

Navigation