Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A numerical model of the unsteady free boundary of an ideal fluid

Author: Paul N. Swarztrauber
Journal: Quart. Appl. Math. 31 (1973), 245-251
DOI: https://doi.org/10.1090/qam/99702
MathSciNet review: QAM99702
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Abstract | References | Additional Information

Abstract: Unsteady two-dimensional flows which have a free boundary are examined numerically. The fluid is considered to be irrotational and incompressible and the boundary is assumed to have a continuous tangent. The use of numerical techniques enables one to treat the nonlinear problem and to include those cases in which the streamlines intersect the boundary. The technique is quite accurate and calculations are required only on the boundary of the fluid.

References [Enhancements On Off] (What's this?)

  • [1] N. I. Muskhelishvili, Singular integral equations, P. Noordhoff, Gröningen, Holland, p. 61 (1953) MR 0355494
  • [2] F. V. Pohle, Motion of water due to breaking of a dam and related problems, in Proc. National Bureau of Standards Semicentennial Symposium on Gravity Waves, NBS Circular 521, Washington, D. C., pp. 47-53 (1952) MR 0053688
  • [3] P. N. Swarztrauber, A study of the time-dependent free boundary of an ideal fluid, Ph.D. thesis, University of Colorado, Boulder, Colorado, 1970 MR 2619541
  • [4] P. N. Swarztrauber, On the numerical solution of the Dirichlet problem for a region of general shape, SIAM J. Numer. Anal. 9, 300-306 (1972) MR 0305627

Additional Information

DOI: https://doi.org/10.1090/qam/99702
Article copyright: © Copyright 1973 American Mathematical Society

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