A Two-Dimensional Numerical Wave Flume—Part 1: Nonlinear Wave Generation, Propagation, and Absorption

Author:

Baudic S. F.1,Williams A. N.2,Kareem A.3

Affiliation:

1. Deepwater Systems Division, ABB Lummus Global Inc., Houston, TX 77242-2833

2. Department of Civil and Environmental Engineering, University of Houston, Houston, TX 77204-4791

3. Department of Civil Engineering and Geological Science, University of Notre Dame, Notre Dame, IN 46556-0767

Abstract

A numerical model is developed to simulate fully nonlinear transient waves in a semi-infinite, two-dimensional wave tank. A mixed Eulerian-Lagrangian formulation is adopted and a high-order boundary element method is used to solve for the fluid motion at each time step. Input wave characteristics are specified at the upstream boundary of the computational domain using an appropriate wave theory. At the downstream boundary, a damping region is used in conjunction with a radiation condition to prevent wave reflections back into the computational domain. The convergence characteristics of the numerical model are studied and the numerical results are validated through a comparison with previous published data.

Publisher

ASME International

Subject

Mechanical Engineering,Ocean Engineering

Reference21 articles.

1. Longuet-Higgins, M. S., and Cokelet, E. D., 1976, “The Deformation of Steep Surface Waves on Water—I: A Numerical Method of Computation,” Proc. R. Soc. London, Ser. A, 350, pp. 1–26.

2. Wang, P., Yao, Y., and Tulin, M. P., 1994, “Wave Group Evolution, Wave Deformation, and Breaking: Simulation using LONGTANK, a Numerical Wave Tank,” Int. J. Offshore Polar Eng., 4, pp. 200–205.

3. Wang, P., Yao, Y., and Tulin, M. P., 1995, “An Efficient Numerical Tank for Non-Linear Water Waves Based on the Multi-Subdomain Approach with BEM,” Int. J. Numer. Methods Fluids, 20, pp. 1315–1336.

4. Cle´ment, A. H. , 1996, “Coupling of Two Absorbing Boundary Conditions for 2D Time Domain Simulations of Free Surface Gravity Waves,” J. Comput. Phys., 126, pp. 139–151.

5. Skourup, J., and Shaffer, H. A., 1997, “Wave Generation and Active Absorption in a Numerical Wave Flume,” Proc., Seventh International Offshore and Polar Engineering Conference, Honolulu, HI, 3, pp. 85–91.

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