This article introduces a numerical technique by refining grids in the region near the free surface to optimize both calculation efficiency and solution accuracy for the inviscid, nonlinear-wave problems. To demonstrate the improvement by this technique, the authors first investigate a solitary wave traveling along a uniform-depth channel. The numerical work using the locally-refined grids can save up to 70. of CPU time, as compared with those using uniformly fine grids at the comparable accuracy. Second, a more complicated example of the fully nonlinear water wave generated by a moving submerged obstacle is illustrated. The obstacle impulsively starts in its steady supercritical motion, stops suddenly for a while, and then accelerates immediately again to a constant critical speed, sequentially in a shallow water channel. This body motion constructs an interesting free-surface phenomenon of a series of solitary-wave train catching up with a sole solitary wave, all occurring right ahead of the moving obstacle. Besides the brief discussion of the related surface wave interactions, the present study is utilized to evaluate the usefulness of the grid-refinement technique in practice as well.
|Number of pages||9|
|Journal||Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an|
|Publication status||Published - 1997 Jan 1|
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