Open boundary value problems in ocean dynamics by finite elements

Tanaka, Toyoki; Ono, Yoshio; Ishise, Toshikazu

doi:10.1016/0309-1708(82)90024-0

Cited by 1 publication

(1 citation statement)

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“…Gopalakrishnan & Tung (1983) developed a finite element model for one horizontal dimension which used a fixed grid, except a t the coastline where an element was allowed to deform to follow the shore line and to split into two elements if it became too stretched. Other investigators, such as Reid & Bodine (1968), Houston & Butler (1979), Yeh & Chou (1979), and Tanaka, Ono & Ishise (1980) simulated the moving shore line with a fixed grid by turning entire cells on and off a t the boundary. Lynch & Gray (1978, 1980) described a finite element technique to treat moving boundaries by using time dependent basis functions which were chosen so that the finite element grid deformed to track a moving shore line.…”

Section: Introductionmentioning

confidence: 99%

A Lagrangian model for wave-induced harbour oscillations

Zelt

Raichlen

1990

J. Fluid Mech.

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A set of equations in the Lagrangian description are derived for the propagation of long gravity waves in two horizontal directions for the purpose of determining the response of harbours with sloping boundaries to long waves. The equations include terms to account for weakly nonlinear and dispersive processes. A finite element formulation for these equations is developed which treats the propagation of transient waves in regions of arbitrary shape with vertical or sloping boundaries. Open boundaries are treated by specifying the wave elevation along the boundary or by applying a radiation boundary condition to absorb the waves leaving the computational domain. Nonlinear aspects of the interaction of long gravity waves with sloping boundaries and frequency dispersion due to non-hydrostatic effects are investigated. Results from the model are then compared with laboratory experiments of the response to long-wave excitation of a narrow rectangular harbour with a depth that decreases linearly from the entrance to the shore line.

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Section: Introductionmentioning

confidence: 99%