https://www.scipedia.com/wd/index.php?action=history&feed=atom&title=Li_et_al_2021aLi et al 2021a - Revision history2026-04-22T18:56:52ZRevision history for this page on the wikiMediaWiki 1.27.0-wmf.10https://www.scipedia.com/wd/index.php?title=Li_et_al_2021a&diff=219152&oldid=prevScipediacontent: Scipediacontent moved page Draft Content 230015565 to Li et al 2021a2021-03-11T16:02:03Z<p>Scipediacontent moved page <a href="/public/Draft_Content_230015565" class="mw-redirect" title="Draft Content 230015565">Draft Content 230015565</a> to <a href="/public/Li_et_al_2021a" title="Li et al 2021a">Li et al 2021a</a></p>
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</td></tr></table>Scipediacontenthttps://www.scipedia.com/wd/index.php?title=Li_et_al_2021a&diff=219151&oldid=prevScipediacontent: Created page with "== Abstract == Adaptive mesh refinement (AMR) is potentially an effective way to automatically generate computational meshes for high-fidelity simulations such as Large Eddy..."2021-03-11T16:02:00Z<p>Created page with "== Abstract == Adaptive mesh refinement (AMR) is potentially an effective way to automatically generate computational meshes for high-fidelity simulations such as Large Eddy..."</p>
<p><b>New page</b></p><div>== Abstract ==<br />
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Adaptive mesh refinement (AMR) is potentially an effective way to automatically generate computational meshes for high-fidelity simulations such as Large Eddy Simulation (LES). Adjoint methods, which are able to localize error contributions, can be used to optimize the mesh for computing a physical quantity of interest (e.g. lift, drag) during AMR. When adjoint-based AMR techniques are applied to LES, primal flow solutions are needed to solve the adjoint problem backward in time due to the nonlinearity of Navier-Stokes equations. However, the resources required to store primal flow solutions can be huge, even prohibitive, in practical problems because of the long averaging time for computing statistical quantities. In this paper, a Reduced-Order Model (ROM) based upon Proper Orthogonal Decomposition (POD) is introduced to circumvent this issue. First, an adjoint-based error estimation procedure is verified using a manufactured solution. Then a ROM-driven AMR strategy is studied using a LES model problem based on the 1D unsteady Burgers equation. Numerical results demonstrate that using ROMs not only lowers storage requirements, but also has no impact on the effectiveness of adjoint-based AMR.<br />
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== Full document ==<br />
<pdf>Media:Draft_Content_230015565p2245.pdf</pdf></div>Scipediacontent