Aerodynamic Optimal Shape Design Based on Body-Fitted Grid Generation

<table class="table-group" id="tab9"><tr><td><table class="table"><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr class="thead"><td align="left"> </td><td align="center">Initial <svg height="12.6515pt" id="M292" style="vertical-align:-3.09599pt" version="1.1" viewbox="-0.0498162 -9.55551 12.4203 12.6515" width="12.4203pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0136,0,0,-0.0136,0,0)"><path d="M625 228C589 199 562 187 531 175L528 176C553 228 562 258 586 313C667 321 744 396 782 469L739 494C698 430 657 396 622 381L620 382C665 478 720 571 761 604C772 602 783 601 794 601C847 601 886 621 886 664C886 683 867 699 832 699C815 699 785 699 754 678C719 681 696 687 632 687C575 687 513 676 457 648C389 613 333 552 333 465C333 430 343 397 363 372C383 345 413 328 446 320C415 256 391 199 364 127C201 92 19 -7 19 -133C19 -190 59 -224 124 -224C272 -224 415 -68 489 88C560 113 617 145 660 192L625 228ZM678 605C590 540 525 467 474 374C443 383 424 414 424 459C424 516 462 560 510 583C562 607 625 607 678 607V605ZM333 50C288 -54 207 -169 139 -169C122 -169 110 -157 110 -140C110 -65 243 27 332 51L333 50Z" id="g199-11"></path><glyph.data ascent="699" descent="-224" horiz-adv-x="906" vert-adv-y="906"></glyph.data></g></svg></td><td align="center">Final <svg height="12.6515pt" id="M293" style="vertical-align:-3.09599pt" version="1.1" viewbox="-0.0498162 -9.55551 12.4203 12.6515" width="12.4203pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0136,0,0,-0.0136,0,0)"><path d="M625 228C589 199 562 187 531 175L528 176C553 228 562 258 586 313C667 321 744 396 782 469L739 494C698 430 657 396 622 381L620 382C665 478 720 571 761 604C772 602 783 601 794 601C847 601 886 621 886 664C886 683 867 699 832 699C815 699 785 699 754 678C719 681 696 687 632 687C575 687 513 676 457 648C389 613 333 552 333 465C333 430 343 397 363 372C383 345 413 328 446 320C415 256 391 199 364 127C201 92 19 -7 19 -133C19 -190 59 -224 124 -224C272 -224 415 -68 489 88C560 113 617 145 660 192L625 228ZM678 605C590 540 525 467 474 374C443 383 424 414 424 459C424 516 462 560 510 583C562 607 625 607 678 607V605ZM333 50C288 -54 207 -169 139 -169C122 -169 110 -157 110 -140C110 -65 243 27 332 51L333 50Z" id="g199-11"></path><glyph.data ascent="699" descent="-224" horiz-adv-x="906" vert-adv-y="906"></glyph.data></g></svg></td><td align="center">Number of iterations</td><td align="center">Computation time (total)</td><td align="center">Reduction in <svg height="12.6515pt" id="M294" style="vertical-align:-3.09599pt" version="1.1" viewbox="-0.0498162 -9.55551 12.4203 12.6515" width="12.4203pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0136,0,0,-0.0136,0,0)"><path d="M625 228C589 199 562 187 531 175L528 176C553 228 562 258 586 313C667 321 744 396 782 469L739 494C698 430 657 396 622 381L620 382C665 478 720 571 761 604C772 602 783 601 794 601C847 601 886 621 886 664C886 683 867 699 832 699C815 699 785 699 754 678C719 681 696 687 632 687C575 687 513 676 457 648C389 613 333 552 333 465C333 430 343 397 363 372C383 345 413 328 446 320C415 256 391 199 364 127C201 92 19 -7 19 -133C19 -190 59 -224 124 -224C272 -224 415 -68 489 88C560 113 617 145 660 192L625 228ZM678 605C590 540 525 467 474 374C443 383 424 414 424 459C424 516 462 560 510 583C562 607 625 607 678 607V605ZM333 50C288 -54 207 -169 139 -169C122 -169 110 -157 110 -140C110 -65 243 27 332 51L333 50Z" id="g199-11"></path><glyph.data ascent="699" descent="-224" horiz-adv-x="906" vert-adv-y="906"></glyph.data></g></svg></td></tr><tr><td class="thead-hr" colspan="6"><hr/></td></tr><tr><td align="left">CG</td><td align="center">773597.45</td><td align="center">15.48</td><td align="center">31</td><td align="center">2 m : 14 s</td><td align="center">~100%</td></tr><tr class="table-tr"><td colspan="6"><hr class="tbody-hr"/></td></tr></table></td></tr></table>

Results for Test Case <a href="https://static.hindawi.com/articles/mpe/volume-2014/505372/figures/#testcase5">5</a>.

Mathematical Problems in Engineering

Aerodynamic Optimal Shape Design Based on Body-Fitted Grid Generation

Table 9