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Simulating Nonlinear Faraday Waves on a Cylinder

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서명/저자사항Simulating Nonlinear Faraday Waves on a Cylinder.
개인저자Qadeer, Saad.
단체저자명University of California, Berkeley. Mathematics.
발행사항[S.l.]: University of California, Berkeley., 2018.
발행사항Ann Arbor: ProQuest Dissertations & Theses, 2018.
형태사항80 p.
기본자료 저록Dissertation Abstracts International 80-01B(E).
Dissertation Abstract International
ISBN9780438324367
학위논문주기Thesis (Ph.D.)--University of California, Berkeley, 2018.
일반주기 Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Jon A. Wilkening.
요약In 1831, Michael Faraday observed the formation of standing waves on the surface of a vibrating fluid body. Subsequent experiments have revealed the existence of a rich tapestry of patterned states that can be accessed by varying the frequency a
요약We present a new technique for fast and accurate simulations of nonlinear Faraday waves in a cylinder. Beginning from a viscous potential flow model, we generalize the Transformed Field Expansion to this geometry for finding the highly non-local
요약The free surface evolution equations are solved in time using Picard iterations carried out by left-Radau quadrature. The results are in perfect agreement with the instability thresholds and surface patterns predicted for the linearized problem.
일반주제명Applied mathematics.
Mathematics.
언어영어
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