Second-order coupling of numerical and physical wave tanks for 2D irregular waves. Part I: Formulation, implementation and numerical properties
- Authors:
- DOI:
- 10.1016/j.coastaleng.2014.05.013
- Abstract:
- In this series of two papers, we report on the irregular wave extension of the second-order coupling theory of numerical and physical wave model described in [Z. Yang, S. Liu, H.B. Bingham and J. Li. Second-order theory for coupling numerical and physical wave tanks: Derivation, evaluation and experimental validation. Coast. Eng. 71,37-511. We also correct several errors which unfortunately appeared in that manuscript. In the present part I, the full second-order coupling theory for irregular wave is described in detail. The new second-order coupling signal is presented including both superharmonics and subharmonics and covering wavemaker configurations of the piston- and flap-types. The second-order dispersive correction allows for an improved nonlinear transfer of wave information between the two models. For practical implementation, the coupling equations are solved by a combined five-point Lagrange interpolation and the fourth-order Runge-Kutta scheme, with a numerical velocity time series which is decomposed by the Newton-Raphson iterative method. Analytical evaluations on the suppression of spurious free waves and the relative errors of the resultant bound waves have been conducted by considering a 2nd-order, bi-chromatic wave over a range of dimensionless water depth and oscillation frequency combinations, indicating that the resultant wave quality is significantly improved using the second-order coupling theory. A separate verification combining numerical and experimental model of the theory will be presented in Part II by the same authors. (C) 2014 Elsevier B.V. All rights reserved.
- Type:
- Journal article
- Language:
- English
- Published in:
- Coastal Engineering, 2014, Vol 92, p. 48-60
- Keywords:
- ENGINEERING,; NONLINEAR-WAVES; MAKER THEORY; FLUMES; WATER; Irregular waves; Second-order coupling; Numerical wave tanks; Physical wave tanks; Wavemaker
- Main Research Area:
- Science/technology
- Publication Status:
- Published
- Review type:
- Peer Review
- Submission year:
- 2014
- Scientific Level:
- Scientific
- ID:
- 268838204
