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| Content Provider | Springer Nature Link |
|---|---|
| Author | Chen, Xiao Bo |
| Copyright Year | 2006 |
| Abstract | New formulations of second-order wave loads contributed by a first-order wave field are developed by applying two variants of Stokes’s theorem and Gauss’s theorem to a formulation consisting of direct pressure integrations on a body’s hull which is called the near-field formulation. In addition to this direct formulation and the formulation derived from the momentum theorem called the far-field formulation, for the computation of drift (surge/sway) forces in horizontal directions and drift (yaw) moment around the vertical axis, one of new formulations is defined on the control surfaces surrounding the body and called the middle-field formulation. After a brief summary of both pressure-integration (near-field) and momentum (far-field) formulations, the development of the middle-field formulation involving control surfaces is described and complemented in detail in the appendices. The application of the new formulation shows that the near-field and far-field formulations are mathematically equivalent for wall-sided, as well as non-wall-sided bodies and under the condition that the mean yaw moments are expressed with respect to a space-fixed reference point. It is shown that the middle-field formulation is as robust as the far-field formulation and as general as the near-field formulation of second-order loads on a single body as well as on multiple bodies. Furthermore, the extension to the computation of a second-order oscillatory load, which is so far accessed only by the near-field formulation, is envisioned. |
| Starting Page | 61 |
| Ending Page | 82 |
| Page Count | 22 |
| File Format | |
| ISSN | 00220833 |
| Journal | Journal of Engineering Mathematics |
| Volume Number | 59 |
| Issue Number | 1 |
| e-ISSN | 15732703 |
| Language | English |
| Publisher | Kluwer Academic Publishers |
| Publisher Date | 2006-09-27 |
| Publisher Place | Dordrecht |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Far-field formulation Middle-field formulation Near-field formulation Wave-drift load Numeric Computing Mathematical Modeling and Industrial Mathematics Analysis Applications of Mathematics Mechanics |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics Engineering |
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