Computation of three-dimensional standing water waves
We develop a method for computing three-dimensional gravity-driven water waves, which we use to search for time-periodic standing wave solutions. We simulate an inviscid, irrotational, incompressible fluid bounded below by a flat wall, and above by an evolving free surface. The computations make use...
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| Vydáno v: | Journal of computational physics Ročník 255; s. 612 - 638 |
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| Hlavní autoři: | , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier Inc
15.12.2013
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| Témata: | |
| ISSN: | 0021-9991, 1090-2716 |
| On-line přístup: | Získat plný text |
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| Shrnutí: | We develop a method for computing three-dimensional gravity-driven water waves, which we use to search for time-periodic standing wave solutions. We simulate an inviscid, irrotational, incompressible fluid bounded below by a flat wall, and above by an evolving free surface. The computations make use of spectral derivatives on the surface, but also require computing a velocity potential in the bulk, which we carry out using a finite element method with fourth-order elements that are curved to match the free surface. This computationally expensive step is solved using a parallel multigrid algorithm, which is discussed in detail. Time-periodic solutions are searched for using a previously developed overdetermined shooting method. Several families of large-amplitude three-dimensional standing waves are found in both shallow and deep regimes, and their physical characteristics are examined and compared to previously known two-dimensional solutions. |
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| Bibliografie: | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/j.jcp.2013.08.026 |