Stability of boundary integral methods for water waves
Publication
, Journal Article
Beale, JT; Hou, TY; Lowengrub, J
Published in: AMS-IMS-SIAM Joint Summer Research Conference
January 1, 1996
This paper studies the numerical stability of method of boundary integral type, in which the free surface is tracked explicitly. The focus is on two-dimensional motions, periodic in the horizontal direction, so that issues of boundary conditions for the free surface can be avoided. The case considered is rather special, but analysis has provided a definitive answer in this case, and the treatment of this case might partially clarify the numerical issues in the more realistic problems. The results are presented in detail. A calculation of an overturning wave illustrates the resolution made possible by a fully stable numerical method. A careful study of an overturning wave by method of this class was presented previously.
Duke Scholars
Published In
AMS-IMS-SIAM Joint Summer Research Conference
Publication Date
January 1, 1996
Start / End Page
241 / 245
Citation
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Beale, J. T., Hou, T. Y., & Lowengrub, J. (1996). Stability of boundary integral methods for water waves. AMS-IMS-SIAM Joint Summer Research Conference, 241–245.
Beale, J. T., T. Y. Hou, and J. Lowengrub. “Stability of boundary integral methods for water waves.” AMS-IMS-SIAM Joint Summer Research Conference, January 1, 1996, 241–45.
Beale JT, Hou TY, Lowengrub J. Stability of boundary integral methods for water waves. AMS-IMS-SIAM Joint Summer Research Conference. 1996 Jan 1;241–5.
Beale, J. T., et al. “Stability of boundary integral methods for water waves.” AMS-IMS-SIAM Joint Summer Research Conference, Jan. 1996, pp. 241–45.
Beale JT, Hou TY, Lowengrub J. Stability of boundary integral methods for water waves. AMS-IMS-SIAM Joint Summer Research Conference. 1996 Jan 1;241–245.
Published In
AMS-IMS-SIAM Joint Summer Research Conference
Publication Date
January 1, 1996
Start / End Page
241 / 245