Joubarne, Éric; Guibault, François 3D metric-based anisotropic mesh adaptation for vortex capture. (English) Zbl 1426.76382 Math. Comput. Simul. 82, No. 1, 163-180 (2011). Summary: A mesh adaptation procedure is presented to capture a tip vortex in a CFD calculation. The objective is to reduce the numerical diffusion by refining the mesh in the vortex core and coarsen it away from its center. The error estimator of the adaptation scheme is based on the Hessian of a scalar field. The sum of the original vorticity and a transported vorticity is used to calculate the Hessian. The transported vorticity is calculated as a separate equation, which has no influence on the flow computation. To assess the quality of the process, a laminar test case is studied. Cited in 1 Document MSC: 76M12 Finite volume methods applied to problems in fluid mechanics 76D17 Viscous vortex flows 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:mesh adaptation; metric; vortex capture; anisotropy; transport equation; vorticity PDFBibTeX XMLCite \textit{É. Joubarne} and \textit{F. Guibault}, Math. Comput. Simul. 82, No. 1, 163--180 (2011; Zbl 1426.76382) Full Text: DOI References: [1] Agouzal, A.; Lipnikov, K.; Vassilevski, Y., Hessian-free metric-based mesh adaptation via geometry of interpolation error, Computational Mathematics and Mathematical Physics, 50, 1, 124-138 (2010) · Zbl 1224.65283 [2] F. Alauzet, P. Frey, Estimateur d’erreur géométrique et métriques anisotropes pour l’adaptation de maillages. Partie I: aspects théoriques, Institut National de Recherches en Informatique et en Automatique (INRIA) (2003).; F. Alauzet, P. Frey, Estimateur d’erreur géométrique et métriques anisotropes pour l’adaptation de maillages. 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