THE DIFFRACTION OF SECOND-ORDER BICHROMATIC WAVES BY A SEMI-IMMERSED HORIZONTAL RECTANGULAR CYLINDER

✍ Scribed by W. LI; A.N. WILLIAMS

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 263 KB
• Volume: 13
• Category: Article
• ISSN: 0889-9746
• DOI: 10.1006/jfls.1999.0203

✦ Synopsis

The di!raction of second-order bichromatic Stokes waves by a semi-immersed horizontal rectangular cylinder (prism) is investigated theoretically. The problem is assumed two-dimensional and the #uid domain is divided into three regions: upwave, beneath and downwave of the structure. Analytical expressions for the velocity potentials in each region at both "rst-and second-order are obtained by an eigenfunction expansion approach. The solutions in each #uid region are linked through matching conditions on the imaginary #uid interfaces between them. Semi-analytical expressions are derived for the sum-and di!erence-frequency hydrodynamic loads and the free-surface elevations upwave and downwave of the structure to second-order. Numerical results are presented which illustrate the in#uence of the di!erent wave and structural parameters on these quantities at both "rst-and second-order.