TY - JOUR AB - The generation of high-order curvilinear meshes for complex three-dimensional geometries is presently a challenging topic, particularly for meshes used in simulations at high Reynolds numbers where a thin boundary layer exists near walls and elements are highly stretched in the direction normal to flow. In this paper, we present a conceptually simple but very effective and modular method to address this issue. We propose an isoparametric approach, whereby a mesh containing a valid coarse discretization comprising of high-order triangular prisms near walls is refined to obtain a finer prismatic or tetrahedral boundary-layer mesh. The validity of the prismatic mesh provides a suitable mapping that allows one to obtain very fine mesh resolutions across the thickness of the boundary layer. We describe the method in detail for a high-order approximation using modal basis functions, discuss the requirements for the splitting method to produce valid prismatic and tetrahedral meshes and provide a sufficient criterion of validity in both cases. By considering two complex aeronautical configurations, we demonstrate how highly stretched meshes with sufficient resolution within the laminar sublayer can be generated to enable the simulation of flows with Reynolds numbers of and above. AU - Moxey,D AU - Green,MD AU - Sherwin,SJ AU - Peiro,J DO - 10.1016/j.cma.2014.09.019 EP - 650 PY - 2015/// SN - 0045-7825 SP - 636 TI - An isoparametric approach to high-order curvilinear boundary-layer meshing T2 - Computer Methods in Applied Mechanics and Engineering UR - http://dx.doi.org/10.1016/j.cma.2014.09.019 UR - http://ac.els-cdn.com/S004578251400334X/1-s2.0-S004578251400334X-main.pdf?_tid=f9e979c8-da00-11e4-ab36-00000aacb35f&acdnat=1428066025_ce3b890704958375c75bb05e2597ca3e UR - http://hdl.handle.net/10044/1/19968 VL - 283 ER -