Studies in the stability of a numerical wave tank model for the generation and propagation of steep nonlinear long-crested surface waves

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Conference24th International Conference on Offshore Mechanics and Arctic Engineering, 12-17 June 2005, Halkidiki, Greece
AbstractWe are studying numerically the problem of generation and propagation of gravity long-crested waves in a tank containing an incompressible invicid homogeneous fluid initially at rest with a horizontal free surface of finite extent and of infinite depth. A non-othogonal curvilinear coordinate system, which follows the free surface is constructed which gives a more realistic ?continuity condition?, since it tracts the entire fluid domain at all times. A depth profile of the potential is assumed, and employed to perform a waveform relaxation algorithm to decouple the discrete Laplacian along dimensional lines, thereby reducing it?s computation over this total fluid domain. In addition, the full nonlinear kinematic and dynamic free surface boundary conditions are utilized in the algorithm, and a suitably tuned numerical beach is used to avoid reflections. It is well known that instability, in the form of generated spurious ?sawtooth waves?, plagues this problem, leading to numerical overflow. This makes it very difficult to generate steep waves for sufficiently long simulation times starting from a quiescent initial free surface. The authors present in the paper the results of their recent progress in the numerical generation and propagation of deep water steep waves in a numerical wave tank. The implemented algorithm, as described above relies, also on employing and ?aliasing filter?, a nonlinear wavemaker, and imposing compatibility conditions at the confluence of the wavemaker boundary and the free surface. It is this experience that is outlined in the paper.
Publication date
AffiliationNRC Institute for Ocean Technology; National Research Council Canada
Peer reviewedYes
NRC number6098
NPARC number8896021
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Record identifierc81dc0a1-867b-46c5-b96f-953a4eeae332
Record created2009-04-22
Record modified2016-05-09
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