@inproceedings{4dea4aae8c8b49639b1436e6939fd572,
title = "Curving for viscous meshes",
abstract = "Finite-element flow solvers can utilize high-order meshes to achieve improved accuracy over traditional linear meshes. High order meshes are generally created by elevating linear meshes. For high Reynold{\textquoteright}s number viscous flows, the linear mesh is tightly clustered to no-slip surfaces. For curved boundaries the high-order mesh must also curve to match the geometry curvature. An optimization-based node perturbation scheme is described that used a two-component cost function to optimize the high order mesh. The first component uses element Weighted Condition Number (WCN) to enforce element shape. The second component uses a normalized Jacobian to enforce element size and validity. The method is applied to several complex linear meshes with highly curved boundaries and tightly clustered normal spacing.",
keywords = "High order meshes, Mesh curving, Viscous meshes",
author = "Karman, {Steve L.}",
note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 27th International Meshing Roundtable, IMR 2018 ; Conference date: 01-10-2018 Through 05-10-2018",
year = "2019",
doi = "10.1007/978-3-030-13992-6_17",
language = "English",
isbn = "9783030139919",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer Verlag",
pages = "303--325",
editor = "Xevi Roca and Adrien Loseille",
booktitle = "27th International Meshing Roundtable",
}