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: 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.
- N. I. Muskhelishvili, Singular integral equations, Wolters-Noordhoff Publishing, Groningen, 1972. Boundary problems of functions theory and their applications to mathematical physics; Revised translation from the Russian, edited by J. R. M. Radok; Reprinted. MR 0355494
- Frederick V. Pohle, Motion of water due to breading of a dam, and related problems, Gravity Waves, National Bureau of Standards Circular 521, U. S. Government Printing Office, Washington, D. C., 1952, pp. 47–53. MR 0053688
- Paul Noble Swarztrauber, A STUDY OF THE TIME DEPENDENT FREE BOUNDARY OF AN IDEAL FLUID, ProQuest LLC, Ann Arbor, MI, 1970. Thesis (Ph.D.)–University of Colorado at Boulder. MR 2619541
- Paul N. Swarztrauber, On the numerical solution of the Dirichlet problem for a region of general shape, SIAM J. Numer. Anal. 9 (1972), 300–306. MR 305627, DOI https://doi.org/10.1137/0709029
N. I. Muskhelishvili, Singular integral equations, P. Noordhoff, Gröningen, Holland, p. 61 (1953)
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)
P. N. Swarztrauber, A study of the time-dependent free boundary of an ideal fluid, Ph.D. thesis, University of Colorado, Boulder, Colorado, 1970
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)
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Article copyright:
© Copyright 1973
American Mathematical Society