지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.10
- 수록면
- 315 - 324 (10page)
이용수
초록· 키워드
오류제보하기
Waves are mainly generated by wind via the transfer of wind energy to the water through friction. When the wind subsides, the waves transition into swells and eventually dissipate. Friction plays a crucial role in the generation and dissipation of waves. Numerous wave theories have been developed based on the assumption of inviscid flow, but these theories are inadequate in explaining the transformation of waves into swells. This study addressed these limitations by analytically deriving general solutions to the Navier–Stokes equations. By expressing the velocity field as the product of a solution to the Helmholtz equation and a time-dependent univariate function, the Navier–Stokes equations are decomposed into an ordinary differential equation and the Euler equations, which are solved using tensor calculus. This paper provides solutions for viscous flow with shear currents when applied to the water wave problem. These solutions were validated through their application to the vorticity equation. The decay modulus of water waves was compared with experimental data, showing a significant degree of concordance. In contrast to other wave theories, this study clarified the process through which waves evolve into swells.
목차
ABSTRACT
1. Introduction
2. Navier-Stokes Equations for Incompressible Flow
3. Decomposition of the Navier-Stokes Equations
4. Pressure Field for Steady Flow
5. Pressure Field for Unsteady Flow
6. Results and Verification
7. Conclusions
References
참고문헌 (33)
참고문헌 신청
BAntuono, M. (2020). Tri-periodic fully three-dimensional analytic solutions for the Navier–Stokes equations. Journal of Fluid Mechanics, 890, A23. https://doi.org/10.1017/jfm.2020.126
Chaplin, J. R. (1980). Developments of stream-function wave theory. Coastal Engineering, 3, 179–205. https://doi.org/10.1016/0378-3839(79)90020-6
Chappelear, J. E. (1961). Direct numerical calculation of wave properties. Journal of Geophysical Research, 66(2), 501–508. https://doi.org/10.1029/JZ066i002p00501
Chen, H., & Zou, Q. (2019). Effects of following and opposing vertical current shear on nonlinear wave interactions. Applied Ocean Research, 89, 23–35. https://doi.org/10.1016/j.apor.2019.04.001
Chorin, A. J. (1968). Numerical solution of the Navier–Stokes equations. Mathematics of Computation, 22, 745–762.
Chaplin, J. R. (1980). Developments of stream-function wave theory. Coastal Engineering, 3, 179–205. https://doi.org/10.1016/0378-3839(79)90020-6
Chappelear, J. E. (1961). Direct numerical calculation of wave properties. Journal of Geophysical Research, 66(2), 501–508. https://doi.org/10.1029/JZ066i002p00501
Chen, H., & Zou, Q. (2019). Effects of following and opposing vertical current shear on nonlinear wave interactions. Applied Ocean Research, 89, 23–35. https://doi.org/10.1016/j.apor.2019.04.001
Chorin, A. J. (1968). Numerical solution of the Navier–Stokes equations. Mathematics of Computation, 22, 745–762.
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