Stabilized Discretization in Spline Element Method for Solution of Two-Dimensional Navier-Stokes Problems

<table class="table-group" width="800px"><tr class="fig-image" id="a"><td><img alt="350682.fig.0010a" src="https://static.hindawi.com/articles/aaa/volume-2014/350682/figures/350682.fig.0010a.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(a) </b><svg height="12.3115pt" id="M250" style="vertical-align:-3.31355pt" version="1.1" viewbox="-0.0498162 -8.99795 13.9098 12.3115" width="13.9098pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M541 160L512 170C485 116 462 88 439 67C411 41 376 35 318 35C272 35 238 37 224 48C207 61 205 85 212 121L290 533C305 611 308 615 391 622L397 650H139L133 622C217 615 221 612 206 533L126 118C111 41 103 34 23 26L17 0H474C489 31 528 124 541 160Z" id="g113-77"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="553" vert-adv-y="553"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,8.644,3.264)"><path d="M414 144C384 79 371 75 317 75H135L276 221C367 316 408 376 408 465C408 570 327 635 237 635C179 635 131 609 100 575L42 494L67 471C94 510 138 565 205 565C277 565 321 517 321 435C321 348 258 270 195 195C146 137 88 81 33 26V0H411C423 44 433 88 446 135L414 144Z" id="g50-51"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg>-norm errors</td></tr></table></td></tr><tr class="fig-image" id="b"><td><img alt="350682.fig.0010b" src="https://static.hindawi.com/articles/aaa/volume-2014/350682/figures/350682.fig.0010b.jpg"/></td></tr><tr class="fig-caption"><td align="center"><table><tr><td><b>(b) </b><svg height="12.1279pt" id="M251" style="vertical-align:-0.04979992pt" version="1.1" viewbox="-0.0498162 -12.0781 16.6568 12.1279" width="16.6568pt" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"><g transform="matrix(.0135,0,0,-0.0135,0,0)"><path d="M828 650H570L564 622C646 614 650 609 634 524L604 366H253L281 524C296 608 308 615 382 622L388 650H132L126 622C211 615 214 609 198 524L121 122C106 42 102 35 23 28L17 0H276L282 28C196 35 191 40 206 122L243 324H597L559 123C544 42 537 35 452 28L446 0H710L716 28C632 35 628 43 643 122L719 524C735 610 741 615 822 622L828 650Z" id="g113-73"></path><glyph.data ascent="3473" descent="-2876" horiz-adv-x="840" vert-adv-y="840"></glyph.data></g><g transform="matrix(.0095,0,0,-0.0095,11.384,-5.984)"><path d="M389 0V32C297 38 291 46 291 118V635C234 613 175 595 109 583V556L161 554C203 552 207 547 207 497V118C207 46 201 38 110 32V0H389Z" id="g50-50"></path><glyph.data ascent="3443" descent="-2856" horiz-adv-x="487" vert-adv-y="487"></glyph.data></g></svg>-norm errors</td></tr></table></td></tr></table>

<table>Convergence rate of velocity of Section <a href="https://static.hindawi.com/articles/aaa/volume-2014/350682/figures/#sec5.3">5.3</a>.</table>

Abstract and Applied Analysis

fig10

Figure 10

Figure 10: Stabilized Discretization in Spline Element Method for Solution of Two-Dimensional Navier-Stokes Problems 