Defining a stretching and alignment aware quality measure for linear and curved 2D meshes
Document typeConference report
PublisherBarcelona Supercomputing Center
Rights accessOpen Access
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
We define a regularized shape distortion (quality) measure for curved high-order 2D elements on a Riemannian plane. To this end, we measure the deviation of a given 2D element, straight-sided or curved, from the stretching and alignment determined by a target metric. The defined distortion (quality) is suitable to check the validity and the quality of straight-sided and curved elements on Riemannian planes determined by constant and point-wise varying metrics. The examples illustrate that the distortion can be minimized to curve (deform) the elements of a given high-order (linear) mesh and try to match with curved (linear) elements the point-wise alignment and stretching of an analytic target metric tensor.
CitationAparicio-Estrems, G.; Gargallo-Peiró, A.; Roca Navarro, F. J. Defining a stretching and alignment aware quality measure for linear and curved 2D meshes. A: BSC Severo Ochoa International Doctoral Symposium (6th: 2019: Barcelona). "Book of abstracts". Barcelona: Barcelona Supercomputing Center, 2019, p. 30-31.