자료유형 | 학위논문 |
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서명/저자사항 | Simulating Nonlinear Faraday Waves on a Cylinder. |
개인저자 | Qadeer, Saad. |
단체저자명 | University of California, Berkeley. Mathematics. |
발행사항 | [S.l.]: University of California, Berkeley., 2018. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
형태사항 | 80 p. |
기본자료 저록 | Dissertation Abstracts International 80-01B(E). Dissertation Abstract International |
ISBN | 9780438324367 |
학위논문주기 | Thesis (Ph.D.)--University of California, Berkeley, 2018. |
일반주기 |
Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
Adviser: Jon A. Wilkening. |
요약 | In 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 |
요약 | We 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 |
요약 | The 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. |
일반주제명 | Applied mathematics. Mathematics. |
언어 | 영어 |
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