https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Santos_et_al_2021aSantos et al 2021a - Revision history2026-05-06T20:02:32ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Santos_et_al_2021a&diff=219867&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 328281117 to Santos et al 2021a2021-03-11T16:38:02Z<p>Scipediacontent moved page <a href="/public/Draft_Content_328281117" class="mw-redirect" title="Draft Content 328281117">Draft Content 328281117</a> to <a href="/public/Santos_et_al_2021a" title="Santos et al 2021a">Santos et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Santos_et_al_2021a&diff=219866&oldid=prevScipediacontent: Created page with "== Abstract == The appearence of unphysical velocities in highly distorted meshes is a common problem in many simulations. In collocated meshes, this problem arises from the..."2021-03-11T16:37:59Z<p>Created page with "== Abstract == The appearence of unphysical velocities in highly distorted meshes is a common problem in many simulations. In collocated meshes, this problem arises from the..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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The appearence of unphysical velocities in highly distorted meshes is a common problem in many simulations. In collocated meshes, this problem arises from the interpolation of the pressure gradient from faces to cells. Using an algebraic form for the classical incompressible Navier-Stokes equations, this problem is adressed. Starting from the work of F. X. Trias et. al. [FX.Trias et al. JCP 258: 246-267, 2014], a new approach for studying the Poisson equation obtained using the Fractional Step Method is found, such as a new interpolator is proposed in order to found a stable solution, which avoid the appearence of these unpleasant velocities. The stability provided by the interpolator is formally proved for cartesian meshes and its rotations, using fully-explicit time discretizations. The construction of the Poisson equation is supported on mimicking the symmetry properties of the differential operators and the Fractional Step Method. Then it is reinterpreted using a recursive application of the Fractional Step Method in order to study the system as an stationary iterative solver. Furthermore, a numerical analysis for unstructured mesh is also provided.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_328281117p5379.pdf</pdf></div>Scipediacontent