Boundary Integral Solutions of Water Wave Problems

by Gerard P. Lennon, (A.M.ASCE), Asst. Prof.; Civ. Engrg. Dept., Lehigh Univ., Bethlehem, Pa.,
Philip L-F. Liu, (A.M.ASCE), Assoc. Prof.; Civ. and Environmental Engrg. Dept., Cornell Univ., Ithaca, N.Y.,
James A. Liggett, (M.ASCE), Prof.; Civ. and Environmental Engrg. Dept., Cornell Univ., Ithaca, N.Y.,


Serial Information: Journal of the Hydraulics Division, 1982, Vol. 108, Issue 8, Pg. 921-931


Document Type: Journal Paper

Discussion: Murty Tad S. (See full record)

Abstract: The Boundary Integral Equation Method (BIEM) is extended to solve three-dimensional, linearized, transient water wave problems. Only the radiation problems concerning long waves generated by an upthrust block of the sea bed are considered in this paper. Due to the linearization, free-surface boundary conditions are applied on the still water level rather than the actual location of the free surface. Thus the problem becomes a fixed boundary problem. A radiation boundary condition is used to truncate the computational domain. Reasonable agreement between present numerical results and previous analytical solutions is observed.

Subject Headings: Water waves | Domain boundary | Integrals | Linear functions | Long waves | Radiation | Sea floor | Free surfaces

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