Skip to main content

A Sharp-Interface Cartesian Grid Method for Computations of Droplet Impact and Spreading on Surfaces of Arbitrary Shape

  • Conference paper
IUTAM Symposium on Computational Approaches to Multiphase Flow

Part of the book series: Fluid Mechanics and Its Applications ((FMIA,volume 81))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Marella, S., Krishnan, S. and Udaykumar, H.S., 2005, Sharp interface Cartesian grid method I: An easily implemented technique for 3D moving boundary computations, Journal of Computational Physics 210, 1–31.

    Article  MathSciNet  Google Scholar 

  2. Kang, M. and Fedkiw, R.P., 2002, A boundary condition capturing method for multiphase incompressible flow, Journal of Scientific Computing 15, 323–360.

    Article  MathSciNet  Google Scholar 

  3. Liu, X.D., Fedkiw, R.P. and Kang, M.J., 2000, A boundary condition capturing method for Poisson’s equation on irregular domains, Journal of Computational Physics 160(1), 151–178.

    Article  MathSciNet  Google Scholar 

  4. Fedkiw, R.L.X.D., 1998, The ghost fluid method for viscous flows, progress in numerical solutions of partial differential equations.

    Google Scholar 

  5. Liu, H., Krishnan, S., Marella, S. and Udaykumar, H.S., 2005, Sharp interface Cartesian grid method II: A technique for simulating droplet interactions with surfaces of arbitrary shape, Journal of Computational Physics 210, 32–54.

    Article  MathSciNet  Google Scholar 

  6. Sethian, J.A. and Smereka, P., 2003, Level set methods for fluid interfaces, Annual Review of Fluid Mechanics 35, 341–372.

    Article  MathSciNet  Google Scholar 

  7. Sussman, M., Smereka, P. and Osher, S.J., 1994, A level set approach for computing solutions to incompressible two-phase flow, Journal of Computational Physics 114, 146.

    Article  Google Scholar 

  8. Bussmann, M., Mostaghimi, J. and Chandra, S., 1999, On a three-dimensional volume tracking model of droplet impact, Physics of Fluids 11(6), 1406–1417.

    Article  Google Scholar 

  9. Fukai, J.Z.Z., 1993, Modeling of the deformation of a liquid droplet impinging upon a flat surface, Physics of Fluids A5(11), 2588.

    Google Scholar 

  10. Fukai, J., Shiiba, Y., Yamamoto, T., Miyatake, O., Poulikakos, D., Megaridis, C.M. and Zhao, Z., 1995, Wetting effects on the spreading of a liquid droplet colliding with a flat surface — Experiment and modeling, Physics of Fluids 7(2), 236–247.

    Article  Google Scholar 

  11. Ye, T., Mittal, R., Udaykumar, H.S. and Shyy, W., 1999, An accurate Cartesian grid method for viscous incompressible flows with complex immersed boundaries, Journal of Computational Physics 156(2), 209–240.

    Article  Google Scholar 

  12. Pasandideh-Fard, M., Bhola, R., Chandra, S. and Mostaghimi, J., 1998, Deposition of till droplets on a steel plate: Simulations and experiments, International Journal of Heat and Mass Transfer 41(19), 2929–2945.

    Article  Google Scholar 

  13. Pasandideh-Fard, M., Bussmann, M., Chandra, S. and Mostaghimi, J., 2001, Simulating droplet impact on a substrate of arbitrary shape, Atomization and Sprays 11(4), 397–414.

    Google Scholar 

  14. Hocking, L.M., 1983, The spreading of a thin drop by gravity and capillarity, Quarterly Journal of Mechanics and Applied Mathematics 36(FEB), 55–69.

    Article  Google Scholar 

  15. Dussan, E.B., Rame, E. and Garoff, S., 1991, On identifying the appropriate boundaryconditions at a moving contact line — An experimental investigation, Journal of Fluid Mechanics 230, 97–116.

    Article  Google Scholar 

  16. Kang, B.S. and Lee, D.H., 2000, On the dynamic behavior of a liquid droplet impacting upon an inclined heated surface, Experiments in Fluids 29(4), 380–387.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer

About this paper

Cite this paper

Krishnan, S., Liu, H., Marella, S., Udaykumar, H.S. (2006). A Sharp-Interface Cartesian Grid Method for Computations of Droplet Impact and Spreading on Surfaces of Arbitrary Shape. In: Balachandar, S., Prosperetti, A. (eds) IUTAM Symposium on Computational Approaches to Multiphase Flow. Fluid Mechanics and Its Applications, vol 81. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4977-3_29

Download citation

  • DOI: https://doi.org/10.1007/1-4020-4977-3_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-4976-7

  • Online ISBN: 978-1-4020-4977-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics