자료유형 | 학위논문 |
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서명/저자사항 | Surface Disturbances Generated by Fluid Flow Past an Obstacle or Over Topography as Predicted by the Korteweg-De Vries and the Euler Equations. |
개인저자 | Robinson, Quentin A. |
단체저자명 | The University of North Carolina at Chapel Hill. Mathematics. |
발행사항 | [S.l.]: The University of North Carolina at Chapel Hill., 2018. |
발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2018. |
형태사항 | 119 p. |
기본자료 저록 | Dissertation Abstracts International 79-11B(E). Dissertation Abstract International |
ISBN | 9780438065482 |
학위논문주기 | Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2018. |
일반주기 |
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Advisers: Jeremy L. Marzuola |
요약 | The linearized Euler equations and the forced Korteweg-de Vries equation are investigated analytically and numerically as models for the behavior of the surface of a fluid flowing over topography and past an obstacle. Dispersionless and lineariz |
요약 | The behavior of the dispersionless fKdV equation, which is equivalent to a forced, inviscidBurgers equation, is investigated extensively using the method of characteristics. Exact, analytical solution to the dispersionless, nonlinear approximati |
요약 | The behaviors of the fKdV equation and its variants are investigated and compared for forcing constant in time and forcing with oscillating amplitude and position. A Wentzel, Kramers, Brillouin approximation is given for dispersionless KdV with |
요약 | The Inverse Scattering Transform is investigated as a diagnostic tool for the behavior of the fKdV equation. The numerical results indicate the emergence of negative eigenvalues of the Schrodinger operator correspond with the emergence of solito |
요약 | Experiments are carried out in a water recirculating flume and a wave tank. Phenomena predicted by the equations are observed in the experiments and results are compared quantitatively. |
일반주제명 | Fluid mechanics. |
언어 | 영어 |
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