Numerical Modeling and Simulation of Wave Impact of a Circular Cylinder during the Submergence Process

<table class="table-group" id="tab2"><tr><td><table class="table"><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr class="thead"><td class="align_left">Impact phase angle</td><td class="align_center"><span style="width: 10.3778ptpx;"><svg height="11.0031pt" id="M144" style="vertical-align:-0.2064009pt" version="1.1" viewbox="-0.0498162 -10.7967 10.3778 11.0031" width="10.3778pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M241 635C89 635 35 457 35 312C35 153 89 -12 240 -12C390 -12 443 166 443 312C443 466 390 635 241 635ZM238 602C329 602 354 454 354 312C354 172 330 22 240 22C152 22 124 173 124 313S148 602 238 602Z" id="g113-49"></path></g><g transform="matrix(.0091,0,0,-0.0091,6.24,-5.741)"><path d="M339 262C339 340 273 403 193 403S48 340 48 262S113 121 193 121S339 184 339 262ZM283 262C283 210 242 168 193 168S104 210 104 262S144 356 193 356S283 314 283 262Z" 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d="M339 262C339 340 273 403 193 403S48 340 48 262S113 121 193 121S339 184 339 262ZM283 262C283 210 242 168 193 168S104 210 104 262S144 356 193 356S283 314 283 262Z" id="g54-73"></path></g></svg></span></td></tr><tr><td class="thead-hr" colspan="5"><hr/></td></tr><tr><td class="align_left">Time of impact (<svg height="14.2627pt" id="M148" style="vertical-align:-5.30058pt" version="1.1" viewbox="-0.0498162 -8.96212 33.6227 14.2627" width="33.6227pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M138 535C169 535 191 560 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352 361 348 366 348C378 348 401 371 402 394C402 405 398 413 385 424C369 437 337 451 294 451H293C254 451 193 434 141 394C73 342 39 277 39 198C39 90 114 -12 243 -12C303 -12 371 31 415 90L396 114Z" id="g58-97"></path></g><g transform="matrix(.0091,0,0,-0.0091,30.062,3.132)"><path d="M303 37L293 66C280 59 256 49 231 49S173 63 173 143V396H281C294 404 298 428 287 439H173V575L158 577L92 509V439H46L17 408L22 396H92V107C92 27 128 -12 192 -12C203 -12 218 -9 237 2L303 37Z" id="g58-114"></path></g></svg>)</td><td class="align_center">36.64 s</td><td class="align_center">32.37 s</td><td class="align_center">33.68 s</td><td class="align_center">35.13 s</td></tr><tr><td class="align_left">Time of <svg height="11.9316pt" id="M149" style="vertical-align:-3.2957pt" version="1.1" viewbox="-0.0498162 -8.6359 23.5035 11.9316" width="23.5035pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M584 650H137L131 622C214 614 217 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class="align_center">41.18 s</td><td class="align_center">36.33 s</td><td class="align_center">36.39 s</td><td class="align_center">36.8 s</td></tr><tr><td class="align_left"><span style="width: 60.4118ptpx;"><svg height="14.2627pt" id="M151" style="vertical-align:-5.30058pt" version="1.1" viewbox="-0.0498162 -8.96212 60.4118 14.2627" width="60.4118pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.013,0,0,-0.013,0,0)"><path d="M620 675H597C578 656 570 650 541 650H144C112 650 104 653 94 675H72C59 618 42 552 23 493L53 491C71 534 88 564 105 585C124 608 144 615 238 615H290L197 121C182 40 174 34 88 28L82 0H361L367 28C275 34 266 38 281 121L374 615H441C522 615 543 608 553 583C562 560 566 531 565 493L597 494C603 551 612 629 620 675Z" id="g113-85"></path></g><g transform="matrix(.0091,0,0,-0.0091,7.176,3.132)"><path d="M606 650H137L129 618C217 609 221 609 203 518L129 129C115 46 106 40 26 32L18 0H300L307 32C210 40 203 45 218 129L249 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Impact time and maximum hydrodynamic force of different phase angles.

Modelling and Simulation in Engineering

tab2

Table 2

Table 2: Numerical Modeling and Simulation of Wave Impact of a Circular Cylinder during the Submergence Process 