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Generation of curved high-order meshes with optimal quality and geometric accuracy

Ruiz-Gironés, Eloi, Josep Sarrate, Xevi Roca

Proceedings, 25th International Meshing Roundtable, Elsevier, Science Direct, September 26-30 2016

INTERNATIONAL
MESHING
ROUNTABLE

25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016

Eloi Ruiz-Gironés, Laboratori de Càlcul Numèric (LaCàN), Universitat Politècnica de Catalunya (UPC), ES, eloi.ruiz@upc.edu
Josep Sarrate, Laboratori de Càlcul Numèric (LaCàN), Universitat Politècnica de Catalunya (UPC), ES, jose.sarrate@upc.edu
Xevi Roca, Computer Applications in Science and Engineering, Barcelona Supercomputing Center (BSC), ES, xevi.roca@bsc.es

Abstract
We present a novel methodology to generate curved high-order meshes featuring optimal mesh quality and geometric accuracy. The proposed technique combines a distortion measure and a geometric L2-disparity measure into a single objective function. While the element distortion term takes into account the mesh quality, the L2-disparity term takes into account the geometric error introduced by the mesh approximation to the target geometry. The proposed technique has several advantages. First, we are not restricted to interpolative meshes and therefore, the resulting mesh approximates the target domain in a non-interpolative way, further increasing the geometric accuracy. Second, we are able to generate a series of meshes that converge to the actual geometry with expected rate while obtaining high-quality elements. Third, we show that the proposed technique is robust enough to handle real-case geometries that contain gaps between adjacent entities.

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