iMechanica - natural neighbor
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enHow to deal with noisy data in a mesh free Galerkin method
https://imechanica.org/node/10326
<div class="field field-name-body field-type-text-with-summary field-label-hidden"><div class="field-items"><div class="field-item even"><p>I'm currently working with a particle tracking velocimetry method, specifically trying to extract shear and vorticity data from the non-gridded velocity results. Of several methods used, the most efficient and accurate was based on a non-Sibsonian element free method. Unlike a more typical Galerkin problem which finds displacements by solving a PDE, this method uses the displacements of natural neighbors to find local flow gradients. <br />But here's the rub: this method is very sensitive to noisy data. Small errors in the displacement data cause large errors in the calculated gradients. Thus far smoothing the displacement data has been unsuccessful in correcting this problem. <br />Has anyone worked on a similar problem or had to deal with noisy inputs into a meshfree method like this? I'm open to any suggestions.<br />Thanks,<br />Micah </p>
</div></div></div><div class="field field-name-taxonomy-forums field-type-taxonomy-term-reference field-label-above"><div class="field-label">Forums: </div><div class="field-items"><div class="field-item even"><a href="/forum/357">Computational Mechanics Forum</a></div></div></div><div class="field field-name-taxonomy-vocabulary-6 field-type-taxonomy-term-reference field-label-hidden"><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/76">research</a></div></div></div><div class="field field-name-taxonomy-vocabulary-8 field-type-taxonomy-term-reference field-label-above"><div class="field-label">Free Tags: </div><div class="field-items"><div class="field-item even"><a href="/taxonomy/term/23">fluid mechanics</a></div><div class="field-item odd"><a href="/taxonomy/term/162">computational mechanics</a></div><div class="field-item even"><a href="/taxonomy/term/317">meshfree</a></div><div class="field-item odd"><a href="/taxonomy/term/942">gradient</a></div><div class="field-item even"><a href="/taxonomy/term/993">meshfree method</a></div><div class="field-item odd"><a href="/taxonomy/term/1477">fluids</a></div><div class="field-item even"><a href="/taxonomy/term/2613">particles tracking</a></div><div class="field-item odd"><a href="/taxonomy/term/3633">Noise</a></div><div class="field-item even"><a href="/taxonomy/term/4679">Element-free Galerkin method</a></div><div class="field-item odd"><a href="/taxonomy/term/6301">PTV</a></div><div class="field-item even"><a href="/taxonomy/term/6302">natural neighbor</a></div></div></div>Mon, 23 May 2011 18:03:51 +0000Micah Paul10326 at https://imechanica.orghttps://imechanica.org/node/10326#commentshttps://imechanica.org/crss/node/10326Error | iMechanica