A coupled-mode, phase-resolving model for the transformation of wave spectrum over steep 3D topography: Parallel-architecture implementation

Journal of Offshore Mechanics and Arctic Engineering

Volumn 130, Issue 1, 2008, Pages

  Gerostathis, Th P ^a   Belibassakis, K A ^b   Athanassoulis, G A ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^b UNIVERSITY OF WEST ATTICA   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ENGINEERING GEOLOGY; GEOMETRICAL OPTICS; MESSAGE PASSING; NUMERICAL METHODS; PARALLEL PROGRAMMING; STANDARDS; THREE DIMENSIONAL; TOPOGRAPHY; TRANSFER FUNCTIONS;

BOTTOM TOPOGRAPHY; COMPUTATIONAL TECHNOLOGIES; COMPUTER CLUSTERING; DIFFRACTION PHENOMENON; DIRECTIONAL SPECTRUM (DS); GEOGRAPHICAL AREAS; INCIDENT WAVES; LINEAR THEORIES; LINEAR TRANSFER FUNCTION (LTF); NUMERICAL SOLUTIONS; PARALLEL IMPLEMENTATIONS; SPECTRA (CO); SURFACE ELEVATIONS; THREE DIMENSIONS; THREE-DIMENSIONAL (3D) TOPOGRAPHY; WAVE CONDITIONS; WAVE SPECTRUM;

MODAL ANALYSIS;

BOTTOM TOPOGRAPHY; LINEARITY; MEASUREMENT METHOD; OCEAN WAVE; SPECTRAL ANALYSIS; SUBMARINE CANYON; WAVE DIFFRACTION; WAVE DISPERSION; WAVE MODELING; WAVE PROPAGATION; WAVE REFLECTION;

CALIFORNIA; LA JOLLA; NORTH AMERICA; SAN DIEGO; UNITED STATES;

EID: 48049092035     PISSN: 08927219     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2783883     Document Type: Article

References (35)

1. Berkhoff, J. C., 1972, "Computation of Combined Refraction-Diffraction," Proceedings of the 13th Conference on Coastal Engineering, ASCE, Vancouver, Vol. 2, pp. 471-490.
2. Mei, C. C., 1989, The Applied Dynamics of Ocean Surface Waves, World Scientific, Singapore.
3. Kirby, J. T., 1986, "A General Wave Equation for Waves Over Rippled Beds," J. Fluid Mech., 162, pp. 171-186.
4. Booij, N., 1983, "A Note on the Accuracy of the Mild-Slope Equation," Coastal Eng., 7, pp. 191-203.
5. Miles, J. W., and Chamberlain, P. G., 1998, "Topographical Scattering of Gravity Waves," J. Fluid Mech., 361, pp. 175-188.
6. Silva, R., Borthwick, A. G. L., and Taylor, R. E., 2005, "Numerical Implementation of the Harmonic Modified Mild-Slope Equation," Coastal Eng., 52, pp. 391-407.
7. Massel, S., 1993, "Extended Refraction-Diffraction Equations for Surface Waves," Coastal Eng., 19, pp. 97-126.
8. Chamberlain, P. G., and Porter, D., 1995, "The Modified Mild-Slope Equation," J. Fluid Mech., 291, pp. 393-407.
9. Athanassoulis, G. A., and Belibassakis, K. A., 1999, "A Consistent Coupled-Mode Theory for the Propagation of Small-Amplitude Water Waves Over Variable Bathymetry Regions," J. Fluid Mech., 389, pp. 275-301.
10. Chandrasekera, C. N., and Cheung, K. F., 2001, "Linear Refraction-Diffraction for Steep Bathymetry," J. Waterway, Port, Coastal, Ocean Eng., 127(3), pp. 161-170.
11. Kim, J. W., and Bai, K. J., 2004, "A New Complementary Mild-Slope Equation," J. Fluid Mech., 511, pp. 25-40.
12. Belibassakis, K. A., Athanassoulis, G. A., and Gerostathis, Th., 2001, "A Coupled-Mode Model for the Refraction-Diffraction of Linear Waves Over Steep Three-Dimensional Bathymetry," Appl. Ocean. Res., 23(6), pp. 319-336.
13. Wilkinson, B., and Allen, M., 2005, Parallel Programming: Techniques and Applications Using Networked Workstations and Parallel Computers, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ.
14. Message Passing Interface Forum, 1994, "MPI: A Message-Passing Interface Standard," Int. J. Supercomput. Appl., 8(3/4), pp. 159-416, special issue on MPI.
15. Argonne National Laboratory, MPI website: http://www-unix.mcs.anl.gov/ mpi/libraries.html
16. Dagum, L., and Menon, R., 1998, "Openmp: Aja Industry-Standard API for Shared-Memory Programming," IEEE Comput. Sci. Eng., 5(1), pp. 46-55.
17. Bova, S. W., Breshears, C. P., Gabb, H., Kuhn, B., Magro, B., Eigenmann, R., Gaertner, G., Salvini, S., and Scott, H., 2001, "Parallel Programming With Message Passing and Directives," Comput. Sci. Eng., 3(5), pp. 22-37.
18. Demirbilek, Z., and Panchang, V., 1998, "CGWAVE: A Coastal Surface Water Wave Model of Mild Slope Equation," U.S. Army Engineering, Waterway Experiment Station, Technical Report No. CHL-98-26.
19. Bova, S. W., Breshears, C. P., Gabb, H., Kuhn, B., Magro, B., Eigenmann, R., Gaertner, G., Salvini, S., and Scott, H., 2001, "Parallel Programming with Message Passing and Directives," Comput. Sci. Eng., 3(5), pp. 22-37.
20. Booij, N., Ris, R. C., and Holthuijsen, L. H., 1999, "A Third-Generation Wave Model for Coastal Regions. 1. Model Description and Validation," J. Geophys. Res., 104(C4), pp. 7649-7666.
21. Ris, R. C., Holthuijsen, L. H., and Booij, N., 1999, "A Third-Generation Wave Model for Coastal Regions. 2. Verification," J. Geophys. Res., 104(C4), pp. 7667-7681.
22. Pelinovsky, E., Razin, A. V., and Sasorova, E. V., 1998, "Berkhoff Approximation in a Problem on Surface Gravity Wave Propagation in a Basin With Bottom Irregularities," Waves Random Media, 8(2), pp. 255-268.
23. Ardhuin, F., and Herbers, T. H. C., 2002, "Bragg Scattering of Random Surface Gravity Waves by Irregular Seabed Topography," J. Fluid Mech., 451, pp. 1-33.
24. Belibassakis, K: A., and Athanassoulis, G. A., 2002, "Extension of Second-Order Stokes Theory to Variable Bathymetry," J. Fluid Mech., 464, pp. 35-80.
25. Goda, Y., 2000, Random Seas and Design of Maritime Structures, 2nd ed., World Scientific, Singapore.
26. Turkel, E., and Yefet, A., 1998, "Absorbing PML Boundary Layers for Wave-Like Equations," Appl. Numer. Math., 27, pp. 533-557.
27. Collino, F., and Monk, P. B., 1998, "Optimizing the Perfectly Matched Layer," Comput. Methods Appl. Mech. Eng., 164, pp. 157-171.
28. Ochi, M. K., 1998, Ocean Waves: The Stochastic Approach, Ocean Technology Series, Cambridge University Press, Cambridge, England.
29. Balay, S., Buschelman, K., Eijkhout, V., Gropp, W. D., Kaushik, D., Knepley, M. G., McInnes, L. C., Smith, B. F., and Zhang, H., 2004, "Petsc Users Manual, Revision 2.1.5," Argonne National Laboratory, Report No. ANL-95/11.
30. Demmel, J. W., Gilbert, J. R., and Li, X. S., 1999, "An Asynchronous Parallel Supernodal Algorithm for Sparse Gaussian Elimination," SIAM J. Matrix Anal. Appl., 20(4), pp. 915-952.
31. Athanassoulis, G. A., Belibassakis, K. A., and Georgiou, Y., 2003, "Transformation of the Point Spectrum Over Variable Bathymetry Regions," 13th International Offshore and Polar Conference anal Exhibition, ISOPE2002, Honolulu, HI.
32. Donelan, M. A., Hamilton, J., and Hui, H. H., 1985, "Directional Spectra of Wind-Generated Waves," Philos. Trans. R. Soc. London, Ser. A, 315, pp. 509-562.
33. Massel, S., 1996, Ocean Surface Waves: Their Physics and Prediction, World Scientific, Singapore.
34. Holthuijsen, L. H., Herman, A., and Booij, N, 2003, "Phase-Decoupled Refraction-Diffraction for Spectral Wave Models," Coastal Eng., 49, pp. 291-305.
35. Peak, S. D., 2004, "Wave Refraction Over Complex Nearshore Bathymetry," MS thesis, Naval Postgraduate School, Monterey.