{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:39:34Z","timestamp":1753886374068,"version":"3.41.2"},"reference-count":14,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,7,1]],"date-time":"2012-07-01T00:00:00Z","timestamp":1341100800000},"content-version":"vor","delay-in-days":182,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51009023","11072052","50921001","51109022"],"award-info":[{"award-number":["51009023","11072052","50921001","51109022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51009023","11072052","50921001","51109022"],"award-info":[{"award-number":["51009023","11072052","50921001","51109022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51009023","11072052","50921001","51109022"],"award-info":[{"award-number":["51009023","11072052","50921001","51109022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51009023","11072052","50921001","51109022"],"award-info":[{"award-number":["51009023","11072052","50921001","51109022"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>A time\u2010domain numerical model is established based on the higher\u2010order boundary element method (HOBEM) to simulate wave diffraction problem in a two\u2010layer fluid of finite depth. There are two possible incident wave modes (surface\u2010wave mode and internal\u2010wave mode) exist in the incident wave for a prescribed frequency in a two\u2010layer fluid. For surface\u2010wave mode, the hydrodynamic characters of fluid particles are similar to single\u2010layer fluid. For the internal\u2010wave mode, through the definition of a new function respected to velocity potentials of upper and lower fluid on the interface by using matching condition, a single set of linear equations is set up to compute the time histories of wave forces and wave profiles by using a fourth\u2010order Runge\u2010Kutta method. An artificial damping layer is adopted both on the free surface and interface to avoid the wave reflection. Examinations of the accuracy of this time\u2010domain algorithm are carried out for a truncated cylinder and a rectangular barge, and the results demonstrate the effectiveness of this method.<\/jats:p>","DOI":"10.1155\/2012\/686824","type":"journal-article","created":{"date-parts":[[2012,7,1]],"date-time":"2012-07-01T21:01:29Z","timestamp":1341176489000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Time\u2010Domain Boundary Element Method for Wave Diffraction in a Two\u2010Layer Fluid"],"prefix":"10.1155","volume":"2012","author":[{"given":"Ying","family":"Gou","sequence":"first","affiliation":[]},{"given":"Xin-jia","family":"Chen","sequence":"additional","affiliation":[]},{"given":"Teng","family":"Bin","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,7]]},"reference":[{"key":"e_1_2_6_1_2","unstructured":"ChengY. L. LiJ. C. andLiuY. F. 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