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A numerical study of capillary-gravity waves.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	A numerical study of capillary-gravity waves./
作者:	Huh, Jin.
面頁冊數:	1 online resource (149 pages)
附註:	Source: Dissertations Abstracts International, Volume: 53-09, Section: B.
Contained By:	Dissertations Abstracts International53-09B.
標題:	Mechanics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9208560click for full text (PQDT)
ISBN:	9798207455631

A numerical study of capillary-gravity waves.
Huh, Jin.

A numerical study of capillary-gravity waves. - 1 online resource (149 pages)

Source: Dissertations Abstracts International, Volume: 53-09, Section: B.

Thesis (Ph.D.)--University of Michigan, 1991.

Includes bibliographical references

Surface tension provides a restoring force which cannot be ignored for water waves of short wavelengths. Even for large wavelengths its presence precludes any sharp corner developing on the free surface. Here, the effects of surface tension on steep water waves are investigated numerically; the periodic progressive capillary-gravity waves under resonant conditions and their time-marching results are discussed as well as wave breaking behaviors due to the energetic initial conditions and the submerged disturbances. A spectral boundary technique with kernel desingularization gives better results for most test cases than the alternating point integration scheme and the piecewise-linear method. This spectral representation is very accurate when the geometry is smooth and nodal spacing is uniform. Wave breaking behaviors due to the energetic initial conditions and moving submerged dipole array were investigated using this scheme. We found that for wave amplitude ak $>$ 0.27 the waves will break and for ak $<$ 0.27 waves will progress indefinitely, when simple harmonic initial conditions are used. A spilling breaker is formed when ak is small and larger values of ak form plunging breakers. The geometries of these breaking waves match well to Bonmarin's experiments (1989). We also found that the potential energy is a better criterion than peak-to-peak wave height to determine whether traveling waves will break. When periodic dipole arrays are towed at constant speed, we find that breaking is suppressed by slower dipole speed, deeper dipole depth or weaker dipole strength. Most importantly, we find that breaking is suppressed by surface tension. We find all the permanent forms of periodic capillary-gravity waves under resonant conditions found by Schwartz and Vanden Broeck (1979) and Chen and Saffman (1979). Time-marching of resonant capillary-gravity waves shows that only some wave forms are stable. One possible reason is that the unstable waves have larger peak-to-peak wave height.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023

Mode of access: World Wide Web

ISBN: 9798207455631Subjects--Topical Terms:

525881
Mechanics.
Subjects--Index Terms:

surface tensionIndex Terms--Genre/Form:

542853
Electronic books.

A numerical study of capillary-gravity waves.
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245 1 2 $a A numerical study of capillary-gravity waves.
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500 $a Source: Dissertations Abstracts International, Volume: 53-09, Section: B.
500 $a Publisher info.: Dissertation/Thesis.
500 $a Advisor: Schultz, William W.
502 $a Thesis (Ph.D.)--University of Michigan, 1991.
504 $a Includes bibliographical references
520 $a Surface tension provides a restoring force which cannot be ignored for water waves of short wavelengths. Even for large wavelengths its presence precludes any sharp corner developing on the free surface. Here, the effects of surface tension on steep water waves are investigated numerically; the periodic progressive capillary-gravity waves under resonant conditions and their time-marching results are discussed as well as wave breaking behaviors due to the energetic initial conditions and the submerged disturbances. A spectral boundary technique with kernel desingularization gives better results for most test cases than the alternating point integration scheme and the piecewise-linear method. This spectral representation is very accurate when the geometry is smooth and nodal spacing is uniform. Wave breaking behaviors due to the energetic initial conditions and moving submerged dipole array were investigated using this scheme. We found that for wave amplitude ak $>$ 0.27 the waves will break and for ak $<$ 0.27 waves will progress indefinitely, when simple harmonic initial conditions are used. A spilling breaker is formed when ak is small and larger values of ak form plunging breakers. The geometries of these breaking waves match well to Bonmarin's experiments (1989). We also found that the potential energy is a better criterion than peak-to-peak wave height to determine whether traveling waves will break. When periodic dipole arrays are towed at constant speed, we find that breaking is suppressed by slower dipole speed, deeper dipole depth or weaker dipole strength. Most importantly, we find that breaking is suppressed by surface tension. We find all the permanent forms of periodic capillary-gravity waves under resonant conditions found by Schwartz and Vanden Broeck (1979) and Chen and Saffman (1979). Time-marching of resonant capillary-gravity waves shows that only some wave forms are stable. One possible reason is that the unstable waves have larger peak-to-peak wave height.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2023
538 $a Mode of access: World Wide Web
650 4 $a Mechanics. $3 525881
650 4 $a Mechanical engineering. $3 649730
653 $a surface tension
653 $a wave breaking
655 7 $a Electronic books. $2 lcsh $3 542853
690 $a 0346
690 $a 0548
710 2 $a ProQuest Information and Learning Co. $3 783688
710 2 $a University of Michigan. $3 777416
773 0 $t Dissertations Abstracts International $g 53-09B.
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=9208560 $z click for full text (PQDT)