155
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

An Arbitrary Lagrangian-Eulerian finite difference method for computations of free surface flows

, &
Pages 481-491 | Received 24 Apr 2000, Published online: 09 Aug 2010

References

  • Anderson , D. A. , Tannehill , J. C. and Fletcher , R. H. 1984 . Computational fluid mechanics and heat transfer , 134 – 135 . New York : Hemisphere Publishing Co .
  • Chan , R. K. and Street , R. L. 1970 . A computer study of finite-amplitude water waves . J. Computational Physics , 6 : 68 – 94 .
  • Harlow , F. H. and Welch , J. E. 1965 . Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface . Int. Physics of Fluids , 8 : 2182 – 2189 .
  • Hirt , C. W. , Amsden , A. A. and Cook , J. L. 1974 . An arbitrary Lagrangian Eulerian computing method for all flow speeds . J. Computational Physics , 14 : 227 – 253 .
  • Hirt , C. W. and Nichols , B. D. 1981 . Volume of fluid method for the dynamics of free boundaries . J. Computational Physics , 39 : 201 – 225 .
  • Hirt , C. W. and Shannon , J. P. 1968 . Free-surface stress conditions for incompressible flow calculation . J. Computational Physics , 2 : 403 – 411 .
  • Huerta , A. and Liu , W. K. 1988 . Viscous flow with large free surface motion . Computational Meths. Appl. Mech. Eng. , 69 : 277 – 324 .
  • Hughes , T. J. R. , Liu , W. K. and Zimmerman , T. K. 1981 . Lagrangian-Eulerian finite element formulation for incompressible viscous flows . Computational Meths. Appl. Mech. Eng. , 29 : 329 – 349 .
  • Laitone , E. V. 1960 . The second approximation to cnoidal and solitary waves . J. Fluid Mech. , 9 : 430 – 444 .
  • Lewis , R. W. , Naviti , S. E. and Taylor , C. 1997 . A mixed Lagrangian-Eulerian approach to modeling fluid flow during mould filling . Int. J. Numer. Meth. Fluids , 25 : 931 – 952 .
  • Martin , J. C. and Moyce , W. J. 1952 . An experimental study of the collapse of liquid columns on a horizontal plane . Philos. Trans. R. Soc. Lond. A , 244 : 321 – 324 .
  • Maxworthy , T. 1976 . Experiments on collisions between solitary waves . J. Fluid Mech. , 76 : 117 – 185 .
  • Mei , C. C. 1983 . The applied dynamics of ocean surface wave , 564 New York : Wiley .
  • Naheer , E. 1978 . Laboratory experiments with solitary wave . Journal of the Waterway Port Coastal and Ocean Division, Proceedings of the American Society of Civil Engineers , 104 ( WW4 ) : 421 – 436 .
  • Ramaswamy , B. 1990 . Numerical simulation of unsteady viscous free surface flow . J. Computational Physics , 90 : 396 – 430 .
  • Stoker , J. J. 1957 . Water wave , 333 – 341 . John Wiley & sons, Inc. .
  • Tang , C. J. , Patel , V. C. and Landweber , L. 1990 . Viscous effects on propagation and reflection of solitary waves in shallow channels . J. Computational Physics , 88 : 86 – 113 .
  • Tezduyar , T. E. , Behr , M. and Liou , J. 1992 . A new strategy for finite element computations involving moving boundaries and interfaces- the deforming-spatial-domain/space-time procedure: I. The concept and the preliminary tests . Computational Meths. Appl. Mech. Eng. , 94 : 339 – 351 .
  • Thompson , J. F. , Warsi , Z. U. A. and Mastin , C. W. 1982 . Boundary-fitted coordinate system for numerical solution of partial differential equation-A Review . J. Computational Physics , 47 : 1 – 108 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.