Curving for viscous meshes

Steve L. Karman

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

3 Scopus citations

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’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.

Original languageEnglish
Title of host publication27th International Meshing Roundtable
EditorsXevi Roca, Adrien Loseille
PublisherSpringer Verlag
Pages303-325
Number of pages23
ISBN (Print)9783030139919
DOIs
StatePublished - 2019
Externally publishedYes
Event27th International Meshing Roundtable, IMR 2018 - Albuquerque, United States
Duration: Oct 1 2018Oct 5 2018

Publication series

NameLecture Notes in Computational Science and Engineering
Volume127
ISSN (Print)1439-7358
ISSN (Electronic)2197-7100

Conference

Conference27th International Meshing Roundtable, IMR 2018
Country/TerritoryUnited States
CityAlbuquerque
Period10/1/1810/5/18

Funding

This work was partially supported by a NASA SBIR contract “High Order Mesh Curving and Geometry Access”, Phase I contract NNX17CL83P and Phase II contract 80NSSC18C0109. NASA’s support is greatly appreciated. Acknowledgement This work was partially supported by a NASA SBIR contract “High Order Mesh Curving and Geometry Access”, Phase I contract NNX17CL83P and Phase II contract 80NSSC18C0109. NASA’s support is greatly appreciated.

FundersFunder number
NASA SBIR80NSSC18C0109
National Aeronautics and Space AdministrationNNX17CL83P

    Keywords

    • High order meshes
    • Mesh curving
    • Viscous meshes

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