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020 ▼a 9780438324367
035 ▼a (MiAaPQ)AAI10813786
035 ▼a (MiAaPQ)berkeley:17778
040 ▼a MiAaPQ ▼c MiAaPQ ▼d 248032
0491 ▼f DP
0820 ▼a 519
1001 ▼a Qadeer, Saad.
24510 ▼a Simulating Nonlinear Faraday Waves on a Cylinder.
260 ▼a [S.l.] : ▼b University of California, Berkeley., ▼c 2018
260 1 ▼a Ann Arbor : ▼b ProQuest Dissertations & Theses, ▼c 2018
300 ▼a 80 p.
500 ▼a Source: Dissertation Abstracts International, Volume: 80-01(E), Section: B.
500 ▼a Adviser: Jon A. Wilkening.
5021 ▼a Thesis (Ph.D.)--University of California, Berkeley, 2018.
520 ▼a 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
520 ▼a 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
520 ▼a 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.
590 ▼a School code: 0028.
650 4 ▼a Applied mathematics.
650 4 ▼a Mathematics.
690 ▼a 0364
690 ▼a 0405
71020 ▼a University of California, Berkeley. ▼b Mathematics.
7730 ▼t Dissertation Abstracts International ▼g 80-01B(E).
773 ▼t Dissertation Abstract International
790 ▼a 0028
791 ▼a Ph.D.
792 ▼a 2018
793 ▼a English
85640 ▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998089 ▼n KERIS
980 ▼a 201812 ▼f 2019
990 ▼a 관리자 ▼b 관리자